a belt drive must transmit 10kw of power of 3984 rev/min. the wheel is 235 mm diameter and the coefficient of friction is 0.35. the lap angle is 150 degrees. the belt tension must not exceed 50 n. calculate the minimum number of belts required

Answer:

Explanation:

Assuming you want to find the resultant vector of the two given vectors:

We can use the graphical method or the component method to find the resultant vector. Here, I will demonstrate the component method:

Step 1: Convert the given vectors into their component form (i.e., horizontal and vertical components).

Vector 1: 120 N bearing 70°

Horizontal component = 120 cos(70°) ≈ 38.23 N

Vertical component = 120 sin(70°) ≈ 113.41 N

Vector 2: 160 N bearing 40°

Horizontal component = 160 cos(40°) ≈ 122.15 N

Vertical component = 160 sin(40°) ≈ 103.08 N

Step 2: Add the horizontal components and vertical components separately to get the components of the resultant vector.

Horizontal component of resultant vector = 38.23 N + 122.15 N ≈ 160.38 N

Vertical component of resultant vector = 113.41 N + 103.08 N ≈ 216.49 N

Step 3: Use the Pythagorean theorem to find the magnitude of the resultant vector.

Magnitude of resultant vector = √(160.38 N)^2 + (216.49 N)^2 ≈ 268.15 N

Step 4: Find the direction of the resultant vector.

Direction of resultant vector = tan^-1(216.49 N / 160.38 N) ≈ 53.12°

Therefore, the resultant vector of the two given vectors is approximately 268.15 N at a bearing of 53.12°.

The magnitude of the total acceleration of the pin when t=0 is 1.2 in/s^2.

To explain further, the acceleration of the pin is the sum of two components: tangential acceleration and centripetal acceleration. The tangential acceleration is responsible for increasing the speed of the pin, and its magnitude is constant at 1.2 in/s^2.

The centripetal acceleration is due to the circular motion of the pin in the slot CD and is directed towards the center of the circle.

To find the magnitude of the total acceleration at t=0, we need to first find the magnitude of the tangential acceleration and the centripetal acceleration separately. We know that the tangential acceleration is 1.2 in/s^2, and we can use the formula for centripetal acceleration, a_c = v^2/r, where v is the velocity of the pin and r is the radius of the circle. At t=0, the velocity of the pin is zero, and the radius of the circle is 3.5 inches.

Therefore, the centripetal acceleration is also zero.

Since the centripetal acceleration is zero, the magnitude of the total acceleration is equal to the magnitude of the tangential acceleration, which is 1.2 in/s^2.

For more similar questions on physics kinematics,

brainly.com/question/31152246

#SPJ11.

Unproven theories ultimately cannot be regarded as scientific facts or principles and are not generally recognised by the scientific community.

A well-supported explanation of a natural occurrence in science that has passed rigorous examination and is backed by empirical data is referred to as a theory. A hypothesis, however, cannot be regarded as a scientific fact or principle if it is not backed up by empirical data or if it has not undergone extensive testing and verification. The scientific community frequently rejects unproven notions with scant empirical backing and may even label them as pseudoscientific or non-scientific. This is so that scientific theories and findings may be evaluated and verified frequently. Science does this by using evidence-based reasoning and critical thinking. Unproven theories are therefore eventually not regarded as being a part of the corpus of scientific knowledge.

learn more about theories here:

https://brainly.com/question/1759635

#SPJ4

Answer: The motion of a body with constant speed in a circular path is said to be accelerated, because it is moving with uniform speed, but not with uniform velocity, as velocity is a vector quantity, it can be represented in magnitude as well the direction.

Explanation:

A net torque of [tex]6.0×10^−3 N⋅m[/tex] is sufficient to produce the desired angular acceleration of [tex]150 rad/s^2[/tex].

The net torque required to produce an angular acceleration in a rotating object can be calculated using the formula: net torque = moment of inertia × angular acceleration In this case, the moment of inertia of the grinding wheel is given as 4.0×10^−5 kg⋅m^2 and the angular acceleration required is 150 rad/s^2.

Therefore, the net torque required can be calculated as: net torque = [tex](4.0×10^−5 kg⋅m^2) × (150 rad/s^2) = 6.0×10^−3 N⋅m[/tex]To explain this result, we need to understand the relationship between torque and angular acceleration. Torque is the rotational equivalent of force and it is defined as the product of force and the perpendicular distance between the line of action of the force and the axis of rotation.

When a torque is applied to a rotating object, it produces an angular acceleration in the object, which is a measure of how quickly the object's rotational speed changes.

The moment of inertia of an object is a measure of its resistance to changes in its rotational motion. It depends on the object's mass distribution and the distance of each element of mass from the axis of rotation. Objects with larger moments of inertia require more torque to produce a given angular acceleration than objects with smaller moments of inertia.

Learn more about  angular acceleration here:

https://brainly.com/question/29428475

#SPJ4

The correct option that allows the student to determine the wave speed on the string is d. Graph a5 a function of f The area under the line equal l0 Ihe wave speed.

Wave speed can be calculated by the formula: Wave speed (v) = frequency (f) × wavelength (λ) or v = fλ

According to the question, the student has measured the wavelength and frequency for each standing wave produced. Now, to determine the wave speed, the student needs to use the formula: v = fλ

To determine the wave speed from the graph of frequency and wavelength, the graph is made with frequency on the x-axis and wavelength on the y-axis. The slope of the line gives the speed of the wave. The graph can be used to calculate the wave speed for any wave by finding the slope of the line.

To know more about wave speed, refer here:

https://brainly.com/question/10715783#

SPJ11#

The speed of the car at b if the normal force between the road and the tires at b is twice that at a is about 44.1 km/h.

Speed of the car at A = 50 km/h

Radius of curvature at A = 70 m

Radius of curvature at B = 70 m

Normal force between the road and the tires at B = 2 × Normal force between the road and the tires at A= 2N

Mass center of the car = 1.2 m

The speed of car at B be v km/h

From the conservation of energy at the point A and B, we get:

1/2 mv² + mgh = 1/2 m(50)² + mg(70 - r)

1/2 mv² + mg(70 + r) = 1/2 m(50²)

1/2 mv² = 1/2 m50² - mg(70 + r) …… equation (1)

From the conservation of energy at point B, we get:

1/2 mv² + mg(2r + 1.2) = 1/2 m(50)² + mg(70 - r)

2× Normal force between the road and the tires at A = Normal force between the road and the tires at B

Normal force between the road and the tires at B = 2 × Normal force between the road and the tires at A

Therefore, mg - 2 × N = mv²/rmg - N = mv²/2r

2mg - 4N = mv²/rmg - 2N = mv²/2r

Subtracting, we get:

N = mg/3

Normal force between the road and the tires at A = mg/3

Normal force between the road and the tires at B = 2mg/3

Normal force between the road and the tires at B = 2(mg/3) = mg/3

From the above equations, we get the value of v. Putting the values, we get:

1/2 mv² = 1/2 m(50)² - mg(70 + r) - mg(2r + 1.2) + mg(70 - r)1/2 v² = 1/2(50)² - g(70 + r) - g(2r + 1.2) + g(70 - r)v = 44.1 km/h

Therefore, the speed of the car at B is 44.1 km/h.

Learn more about Speed here:

https://brainly.com/question/28224010

#SPJ11

(a) The position of the particle as a function of time is given by:

x(t) = A cos(2πft)

where A is the amplitude (2.00 cm), f is the frequency (1.50 Hz), and cos is the cosine function.

Substituting the given values, we get:

x(t) = 2.00 cos(3πt)

(b) The maximum speed of the particle occurs at the equilibrium position, where the displacement is zero. At this point, the velocity is maximum and is given by:

vmax = Aω

where ω is the angular frequency and is equal to 2πf. Substituting the given values, we get:

vmax = 2.00 × 2π × 1.50 = 18.85 cm/s

(c) The earliest time at which the particle has this speed is when it passes through the equilibrium position. This happens at t = 0, so the earliest time is t = 0.

(d) The maximum positive acceleration of the particle occurs at the ends of its motion, where the displacement is maximum. At these points, the acceleration is given by:

amax = Aω^2

Substituting the given values, we get:

amax = 2.00 × (2π × 1.50)^2 = 282.74 cm/s^2

(e) The earliest time at which the particle has this acceleration is when it reaches the maximum displacement. This happens at t = 1/4T, where T is the period of the motion. The period is given by:

T = 1/f = 2/3 s

So, t = 1/4T = 1/4 × 2/3 = 0.33 s

(f) The total distance traveled by the particle between t = 0 and t = 1.00 s is equal to one complete cycle of its motion. The distance traveled in one complete cycle is equal to four times the amplitude, or:

4A = 8.00 cm

Therefore, the total distance traveled is:

8.00

Option A is the correct answer. The mass of the moon is less than that of earth, therefore it has a weaker gravitational force.

The correct option that explains why Amanda would weigh less on the moon than on earth is "A. the mass of the moon is less than that of the earth, therefore it has a weaker gravitational force." This is because weight is the result of the gravitational force that acts on an object, which is determined by both the mass of the object and the gravitational force acting on it. Therefore, the weight of an object varies depending on the mass and gravity.

The gravity of an object is the force that attracts it towards the center of the earth or the celestial object. The amount of gravity an object has depends on its mass and the mass of the object that it is attracting. The moon has a smaller mass than the earth, which means that it has a weaker gravitational force.

Consequently, the pull of gravity on the moon is weaker than on earth.  The weight of Amanda is less because pull of gravity on the moon is weaker than on earth. Therefore, option A is the correct answer.

Learn more about "gravity, weight and mass" at : https://brainly.com/question/2124323

#SPJ11

On a sunny day, a rooftop solar panel delivers 55 w of power to the house at an emf of 17 v . the current flows through the panel is  3.235 A.

The amount of current flowing through the panel can be calculated using Ohm's Law (I = p/v). When working with the formula, Power = Voltage × Current (P = V × I), one can determine the current that flows through the panel by rearranging the formula to:

Current = Power/Voltage (I = P/V).

The calculation of the current (I) is given as follows: I = P/V = 55 W / 17 V = 3.235 A.

Therefore, 3.235 A of current flows through the solar panel on a sunny day.

Read more about current here:

https://brainly.com/question/12785175

#SPJ11

The acceleration of gravity on the surface of the planet, expressed in units of the Earth's acceleration of gravity, g, is g/1000.

Given,Mass of the planet, m = 10m_Earth Radius of the planet, r = 100r_Earth Acceleration of gravity on the surface of the planet, g' = 1000 g_Earth To find, the acceleration of gravity on the surface of the planet, expressed in units of the Earth's acceleration of gravity, g.

Assuming the planet to be a perfect sphere, the acceleration due to gravity on the surface of the planet, g' is given by,g' = GM / r²where M is the mass of the planet, r is the radius of the planet and G is the gravitational constant.We know that, the acceleration of gravity on the surface of the Earth, g_Earth is given by,g_Earth = GM_Earth / r_Earth²Thus, we have the ratio of g' and g_Earth,g' / g_Earth = GM / r² × r_Earth² / GM_Earth= r_Earth / r = 1 / 100∴ g' = 1 / 100 × g_Earth = g_Earth / 1000.Hence, the acceleration of gravity on the surface of the planet, expressed in units of the Earth's acceleration of gravity, g is g/1000. Therefore, the answer is g/1000.

More on acceleration: https://brainly.com/question/15697181

#SPJ11

Assuming that the only force acting on the diver is gravity and neglecting air resistance, we can use the kinematic equations of motion to determine that it takes 2.7 s for the diver to reach a speed of 60 mi/h (or 88 ft/s).

Since the diver starts from rest, we can use the kinematic equation:

[tex]$$v_f = v_i + at$$[/tex]

where [tex]$v_i$[/tex] is the initial velocity (0 mi/h), [tex]$v_f$[/tex] is the final velocity (60 mi/h or 88 ft/s), [tex]$a$[/tex] is the acceleration due to gravity [tex](32.2 ft/s$^2$)[/tex], and [tex]$t$[/tex] is the time it takes to reach the final velocity.

Converting the final velocity to feet per second, we get:

[tex]$$v_f = 60\ \text{mi/h} \times \frac{5280\ \text{ft/mi}}{3600\ \text{s/h}} = 88\ \text{ft/s}$$[/tex]

Substituting the given values, we get:

[tex]$$88\ \text{ft/s} = 0\ \text{ft/s} + (32.2\ \text{ft/s}^2)t$$[/tex]

Solving for [tex]$t$[/tex], we get:

[tex]t = \frac{88\ \text{ft/s}}{32.2\ \text{ft/s}^2}[/tex]

Therefore, it takes approximately 2.73 seconds for the diver to go from 0 mi/h to 60 mi/h.

Learn more about kinematic equations:

https://brainly.com/question/28712225

#SPJ11

In the case where the car is traveling in the -x direction and decreasing in speed, it has a negative velocity and a positive acceleration. Therefore, option D is the correct answer. In this case, the car is traveling in the - direction and decreasing in speed. Therefore, it has a negative velocity and a positive acceleration.

Let's discuss the given options one by one:

(A) In this case, the car is traveling in the -x direction at a constant speed. Therefore, it has a negative velocity and zero acceleration. This option is incorrect.

(B) In this case, the car is traveling in the - direction and increasing its speed. Therefore, it has a negative velocity and a positive acceleration. However, the given direction is not specified, and thus this option is not accurate.

(C) In this case, the car is traveling in the +x direction and increasing in speed. Therefore, it has a positive velocity and a positive acceleration. This option is incorrect.

(D) In this case, the car is traveling in the - direction and decreasing in speed. Therefore, it has a negative velocity and a positive acceleration. This option is correct.

(E) In this case, the car is traveling in the +x direction and decreasing in speed. Therefore, it has a positive velocity and a negative acceleration. This option is incorrect.

Therefore, Option D ( - direction decreasing in speed) is correct.

To know more about negative velocity and positive acceleration, refer here:

https://brainly.com/question/12015984#

#SPJ11

Yes, the values found in parts (a) and (b) are consistent with the fact that tidal effects with earth have caused the moon to rotate with one side always facing earth.

This is because part (a) states that the moon rotates on its axis in the same amount of time it takes to complete one orbit around the Earth, which is a phenomenon known as tidal locking. Part (b) further indicates that the same side of the moon always faces the Earth, further supporting the notion that tidal effects have caused the moon to rotate with one side always facing Earth.

More on tides: https://brainly.com/question/14376024

#SPJ11

When you heat an air-filled balloon, the movement of air molecules inside the balloon increases, causing the air to expand and the balloon to inflate.

Heating the air inside the balloon increases the temperature of the air molecules, causing them to move more rapidly and collide with each other more frequently.

This increased movement and collision between molecules causes them to spread out and fill a larger volume, which leads to the expansion of the air inside the balloon.

As the air inside the balloon expands, it exerts a greater pressure on the walls of the balloon, causing it to inflate.

For more similar questions on temperature

brainly.com/question/23905641

#SPJ11

The translational speed of the cylinder when it reaches the foot of the incline is approximately 9.43 m/s.

We can use conservation of energy to solve this problem. The initial energy of the cylinder is all potential energy, and the final energy is all kinetic energy. The potential energy at the bottom of the incline is zero.

The potential energy of the cylinder at the top of the incline is given by:

PE = mgh

where m is the mass of the cylinder, g is the acceleration due to gravity, and h is the height of the incline. Substituting the given values, we get:

PE = (mass of cylinder) x (acceleration due to gravity) x (height of incline) = mgh

The kinetic energy of the cylinder at the bottom of the incline is given by:

KE = (1/2)mv^2

where v is the translational speed of the cylinder at the bottom of the incline.

According to the conservation of energy, the initial potential energy is equal to the final kinetic energy, so we can set these two expressions equal to each other:

mgh = (1/2)mv^2

We can cancel the mass of the cylinder from both sides, and solve for v:

v = sqrt(2gh)

Substituting the given values, we get:

v = sqrt(2 x 9.81 m/s^2 x 7.20 m) ≈ 9.43 m/s

Therefore, the translational speed of the cylinder when it reaches the foot of the incline is approximately 9.43 m/s.

For more such questions on Cylinder

https://brainly.com/question/23935577

#SPJ11

The angular acceleration of the fan is 0.740 rad/s^2,

Angular acceleration which represents the rate at which the angular velocity changes over time. The unit used to measure angular acceleration is radians per square second (rad/s2), according to the International System of Units. The Greek alphabet symbol alpha (α) is used to denote angular acceleration.

To calculate the angular acceleration of the fan, the formula α = Δω/Δt is used. Here, α represents angular acceleration, Δω represents the change in angular speed, and Δt represents the change in time.

In this scenario, Δω is equal to 10.0 - 6.30 = 3.70 rad/s, and Δt is equal to 5.00 s. By substituting these values into the formula, we obtain α = 3.70/5.00 = 0.740 rad/s^2.

To gain more knowledge about angular acceleration, refer to brainly.com/question/21278452.

#SPJ11

The ring rotates once every 4.10 s. If a rider's mass is 51.0 kg, how much force does the ring push on her at the top of the ride is 500 N.

The solution is explained below:

As the rider is at the top of the ride, the only force acting on him is the force of gravity, which is pointing downwards, and the force with which the ring is pushing him towards the center of the circular path. By equating both forces, we can determine the required force to maintain the rider at the top of the ride.

Hence, the answer to the question is that the force with which the ring pushes the rider at the top of the ride is equal to the force of gravity, which is given as F = mgF = (51.0 kg)(9.81 m/s^2) = 500 N

Therefore, the force with which the ring pushes on the rider at the top of the ride is 500 N.

Learn more about force at  brainly.com/question/13191643

#SPJ4

A particle's velocity is described by the function vx=kt2 , where vx is in m/s , t is in s , and k is a constant. The particle's position at t0=0s is x0 = -5.40 m. At t1 = 2.00 s , the particle is at x1 = 5.80 m. The value of k is 2.80 m/s2.

The given equation describes the velocity of a particle in terms of a constant, k, and time, t. The velocity, vx, is given in m/s. The initial position of the particle at t0=0s is x0=-5.40 m, and at t1=2.00 s the particle is at x1=5.80 m. To find the value of the constant k, we can solve the equation for the change in velocity Δvx.

Δvx = vx1 – vx0 = k(t12 – t02)
Δvx = 5.80 – (-5.40) = 11.20 m/s

k = (11.20 m/s) / (2.002 s2) = 2.80 m/s2

Now that we have found the value of the constant k, we can use it to find the velocity of the particle at any time t. For example, at t2=4.00 s the velocity of the particle is vx2=11.20 m/s. This can be calculated using the equation vx2 = k(t22) = 2.80(4.002) = 11.20 m/s.

From the velocity equation, we can also calculate the position of the particle at any time t. The position of the particle at t2=4.00 s is x2= 11.20(4.00) = 44.80 m. We can also calculate the position of the particle at any other time t, by simply substituting in the corresponding value of t into the equation.

In conclusion, the equation vx = kt2 describes the velocity of a particle in terms of a constant, k, and time, t. Using this equation, we can calculate the velocity and position of the particle at any given time.

For more such questions on Velocity.

https://brainly.com/question/14528397#

#SPJ11

Complete Question:

A particle’s velocity is described by the function vx = [tex]kt^2m/s[/tex], where k is a constant and t is in s. The particle’s position at [tex]t_0[/tex] = 0s is [tex]x_0[/tex] = -5.40 m. At [tex]t_1[/tex] = 2.00 s, the particle is at [tex]x_1[/tex] = 5.80 m. Determine the value of the constant k. Be sure to include the proper units

Of the three states of matter (solid, liquid, and gas), gas has the most kinetic energy. This is because the particles in a gas have the highest average speed compared to the particles in solids and liquids.

In a gas, the particles are in constant motion, colliding with each other and the walls of the container. This motion generates kinetic energy, which is proportional to the speed and mass of the particles. In contrast, solids have the lowest kinetic energy because their particles are tightly packed and have limited movement. The particles in a solid vibrate around a fixed position, and only experience small oscillations. Liquids have an intermediate amount of kinetic energy. The particles in a liquid are less tightly packed than in a solid, and can move more freely, resulting in more kinetic energy. However, liquids have more intermolecular forces between the particles compared to gases, which restricts their movement and reduces their average speed. Therefore, of the three states of matter, gases have the most kinetic energy, followed by liquids and then solids.

Learn more about kinetic energy here:

https://brainly.com/question/26472013

#SPJ4

In this case, the normal force exerted by the table on the book is the action force and the reaction force is the force that the book exerts on the table. This force is equal in magnitude to the normal force and acts in the opposite direction.

Newton's third law states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object exerts a force back on the first object that is equal in magnitude and opposite in direction.

Learn more about newton's third law:

https://brainly.com/question/25998091

#SPJ11

Answer:

Explanation:

The energy conservation is equal to half of the product of the spring constant and the square of displacement of the spring, so option C is correct.

Nuclear reactors have three separate water loops instead of just a single one that runs from the water source, through the reactor, then back to the cooling tower because the water running through the reactor is highly radioactive.

A nuclear reactor is a device that controls and maintains a sustained nuclear chain reaction for the purpose of generating heat or power, as well as the materials that make up a nuclear reactor.

The water running through the reactor is highly radioactive, which means that it cannot be released into the atmosphere or allowed to come into touch with humans or the environment. As a result, nuclear reactors are designed with three separate water loops.

In summary, nuclear reactors have three separate water loops instead of a single one that runs from the water source, through the reactor, and back to the cooling tower because the water running through the reactor is highly radioactive.

Learn more about nuclear power: https://brainly.com/question/29472057

#SPJ11

Answer:jfnvufhdfiprhfpiurgh8rhvjm vjfnb

Explanation:

The maximum energy of photoelectrons from aluminium is 2.3 eV for radiation of 2000 Å and 0.90 eV for radiation of 3130 Å.

To calculate Planck's constant and the work function of aluminium, we need to use the equation:

 h = E2 - E1/ λ2 - λ1

Where h is Planck's constant, E1 and E2 are the maximum energy of photoelectrons for each wavelength, and λ1 and λ2 are the wavelengths.

Using the given data, we have:

h = (2.3 - 0.90) / (2000 - 3130)

Therefore, h = -1.4 eV / -930 Å, which simplifies to h = 0.0015 eVÅ.

The work function of aluminium is equal to the maximum energy of the photoelectrons for the longest wavelength, in this case, 0.90 eV. Therefore, the work function of aluminium is 0.90 eV.

Learn more  about photoelectrons  at brainly.com/question/16772624

#SPJ11

The maximum amplitude of the motion which will allow the mass to stay in contact with the platform is 0.062 m.

This can be calculated by using the equation amax = (2π/T)2A, where A is the maximum amplitude, and T is the period of the motion. In this case, T is 0.50 s, and g (the acceleration due to gravity) is 9.81 m/s2, so we can calculate A:

A = (2π/T)2g = (2π/0.50)2 × 9.81 = 158 × 9.81 = 1543.38

Therefore, A = 1543.38/158 = 9.81 m/s2 = 0.062 m.

Alternatively: given,T = 0.50 s,The acceleration due to gravity, g = 9.81 m/s²Maximum acceleration, amax = g = 9.81 m/s². The maximum acceleration that will allow the object to remain in contact with the platform at all times is when amax = !222A = (2π/T )A ) 9.81 ...(1)From the equation (1), we get 158 A = 9.81 (2π/0.50)A = (9.81 (2π/0.50))/158 = 0.062 m. Therefore, the maximum amplitude of the motion which will allow the mass to stay in contact with the platform throughout the motion is 0.062 m.

More on amplitude: https://brainly.com/question/13326079

#SPJ11

The final speeds of the particles expressed in terms of the initial velocity are |v1'| = |v1| = 27/8|vi| and |v2'| = |v2| = 27/14|vi|

The conservation of momentum can be applied. The total momentum of the system before the collision is:

P before = m1v1 + m2v2

where m1 and v1 are the mass and velocity of the 4m block and m2 and v2 are the mass and velocity of the 7m block. Since the two blocks have the same initial speed, the momentum before the collision is:

P before = (4m)(-vi) + (7m)(vi)
P before = 3mvi

After the collision, the two blocks bounce back, so their final velocities are:

v1' = -v1
v2' = -v2

where v1 and v2 are the velocities of the blocks after the collision. Using the conservation of momentum again, the total momentum of the system after the collision is:

Pafter = m1v1' + m2v2'
Pafter = -4mv1 - 7mv2
Pafter = -4m(-v1) - 7m(-v2)
Pafter = 4mv1 + 7mv2

Since the collision is elastic, the total kinetic energy of the system is conserved. Therefore, the kinetic energy before the collision is equal to the kinetic energy after the collision:

Kbefore = Kafter

where Kbefore is the kinetic energy of the system before the collision and Kafter is the kinetic energy of the system after the collision. The kinetic energy can be expressed as:

K = 1/2mv²

Therefore, the total kinetic energy of the system before the collision is:

Kbefore = 1/2(4m)(vi)² + 1/2(7m)(vi)²
Kbefore = 27/2m(vi)²

The total kinetic energy of the system after the collision is:

Kafter = 1/2(4m)(-v1)² + 1/2(7m)(-v2)²
Kafter = 1/2(4m)(v1)² + 1/2(7m)(v2)²

Using the conservation of kinetic energy, Kbefore = Kafter:

27/2m(vi)² = 1/2(4m)(v1)² + 1/2(7m)(v2)²

Simplifying, the final velocities can be expressed in terms of the initial velocity:

v1 = 27/8vi
v2 = 27/14vi

Therefore, the final speeds of the particles are: |v1'| = |v1| = 27/8|vi| and |v2'| = |v2| = 27/14|vi|

More on momentum: https://brainly.com/question/30733354

#SPJ11

Answer:

4 km/hr^2

Explanation:

We can use the formula for acceleration:

a = (v_f - v_i) / t

where:

a = acceleration

v_f = final velocity

v_i = initial velocity

t = time taken

Substituting the given values, we get:

a = (70 km/hr - 50 km/hr) / 5 hr

a = 20 km/hr / 5 hr

a = 4 km/hr^2

Technician B is correct, i.e., the voltage is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is the same across all components, but the current through each component varies.
The voltage, however, is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is equal to the voltage across the entire circuit, regardless of the number of branches in the circuit.
According to the question statement, two technicians are discussing the parallel circuit laws. Technician A says the total resistance of a parallel circuit is always less than that of the lowest resistance leg. Technician B says the voltage is the same for each leg of a parallel circuit. We need to find out who is correct.

Parallel Circuit: A parallel circuit is an electrical circuit that consists of two or more components connected across the same two points. Each of the components has the same voltage across them, but they do not have the same current passing through them. The current is split among each component, and the total current entering the circuit equals the total current leaving the circuit. Hence, Ohm's law is valid for each component in parallel. Two rules should be followed in a parallel circuit:1. The voltage across each component in a parallel circuit is the same, but the current through each component varies.2. The reciprocal of the total resistance in a parallel circuit is equal to the sum of the reciprocals of each resistance in the circuit. So, the statement by Technician B is correct, i.e., the voltage is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is the same across all components, but the current through each component varies. The statement by Technician A is not correct. The total resistance of a parallel circuit is less than the resistance of the smallest resistance leg. In a parallel circuit, the total resistance of the circuit is always less than the smallest resistor in the circuit. It is due to the inverse relationship between resistance and current: when resistance decreases, current increases. And since current divides in a parallel circuit, the total resistance is always less than any single resistance value. Therefore, technician A is incorrect.

For more information follow the link: https://brainly.com/question/27206933

#SPJ11

The correct option is A, the amplitude and period of the oscillations that result from this collision are 0.300 m in 1.26s.

The expression for Period of spring is,

[tex]T = 2\pi\sqrt{\frac{2m}{k} }[/tex]

Here, m is the mass of the spring and k is the spring constant

Substitute 2 kg

for m

and 100N/m

for k

in equation [tex]T = 2\pi\sqrt{\frac{2m}{k} }[/tex]

and solve for T .

[tex]T = 2\pi\sqrt{\frac{(2)2 kg}{100 N/m} }[/tex]

T = 1.26s

In physics, amplitude refers to the maximum displacement or distance moved by a wave from its equilibrium or mean position. It is a measure of the intensity or strength of a wave, and it is usually represented as the height of the crest or depth of the trough of the wave.

The amplitude of a wave can be measured in various units, depending on the type of wave and the context in which it is being studied. For example, the amplitude of a sound wave is measured in decibels (dB), while the amplitude of an electromagnetic wave is measured in volts per meter (V/m). Amplitude plays an important role in the behavior of waves. It determines the energy carried by the wave and affects other properties such as frequency, wavelength, and phase.

To learn more about Amplitude visit here:

brainly.com/question/8662436

#SPJ4

Complete Question: -

A 2.00-kg object is attached to an ideal massless horizontal spring of spring constant 100.0 N/m and is at rest on a frictionless horizontal table. The spring is aligned along the x-axis and is fixed to a peg in the table. Suddenly this mass is struck by another 2.00-kg object traveling along the x-axis at 3.00 m/s, and the two masses stick together. What are the amplitude and period of the oscillations that result from this collision

A) 0.300 m, 1.26 s

B) 0.300 m, 0.889 s

C) 0.424 m, 0.889 s

D) 0.424 m, 1.26 s

E) 0.424 m, 5.00 s