Kendell's mom buys him a new bowling ball that has a mass of 4 kg. He rolls the ball with an average speed of
30 m/s. What is the average kinetic energy of Kendell's ball when rolling?

4.71 s long (in s) does it take a child on a swing to complete one swing if her center of gravity is 5.53 m below the pivot.

The average position of an object's weight is known as its center of gravity. Any object's travel through space may be entirely explained in terms of how its gravitational center moves from one location to another and, if it is free to spin, how it rotates around that center of gravity. Calculations combining gravitation and dynamics may be made much simpler by treating an object's mass as though it were concentrated at a single location.

T=2π√(l/g)

T=2π√(5.53/9.81)

T=4.71

T =4.71 s

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The kind of spring should be held constant so as to improve the validity of the experiment.

Hooke's law states that the force that acts on a spring is directly proportional to the extension of the spring as long as the elastic limit is not exceeded.

As such, we can now understand that we can only be able to talk about the Hooke's law if there is no way in which the material has passed the elastic limit of the material. In this case, we are told that the students just embarked on a kind of experiment and they want to be able to verify the validity of the Hooke's law.

We saw that the masses that were hanged were increased but the springs were also changed. This would not allow us to determine the force constant and the Hooke's law accurately.

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The magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.

Magnitude is a measure of the size or intensity of a physical quantity. It is usually defined as the absolute value of the numerical value of the physical quantity, and is often expressed in terms of a unit of measurement. Magnitude can refer to a variety of different physical quantities, such as size, intensity, brightness, or energy. Magnitude can also refer to the relative size or intensity of two or more physical quantities, when compared to each other.

The resultant force on the horizontal gate is equal to the sum of the hydrostatic forces acting on the gate.
Since the gate is horizontal, the hydrostatic forces acting on the gate will be equal to the pressure difference between the top and bottom of the gate.
This pressure difference is equal to the product of the fluid density, gravitational acceleration, and the gate width.
Therefore, the magnitude of the resultant force on the gate will be:
F = w * r * g
The location of the resultant force on the gate will be at the center of the gate, which is point A.
Therefore, the magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.

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Option (B)is correct

depends on the choice of axis of rotation

What does m in a moment of inertia mean?

Formula for Moment of Inertia

Moment of inertia is defined in general form as I = m r2,

where m is the sum of the product of the mass.

r is the separation from the rotational axis.

What elements affect inertia?

The position and orientation of the rotational axis affect a body's moment of inertia. It also depends on the body's size, shape, and how its mass is distributed around a particular axis. Q.

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The second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.

To determine the location of the second weight that will keep the meter stick balanced, we need to consider the principles of equilibrium.

The weight of the meter stick can be calculated as follows:

Weight of meter stick = mass * acceleration due to gravity

= 24 g * 9.8 m/s^2

= 235.2 N

The total weight of the two hanging weights is 96 g + 96 g = 192 g = 1.92 N.

The sum of the forces acting on the meter stick is equal to zero when:

235.2 N + 1.92 N = 0

This equation tells us that the sum of the forces acting on the meter stick is equal to zero when the total weight of the two hanging weights is equal to the weight of the meter stick.

To determine the location of the second weight, we also need to consider the moments about the pivot point. The moment of a force is calculated as the product of the force and the distance from the pivot point. The moments about the pivot point are equal to zero when the sum of the moments of the forces on one side of the pivot point is equal to the sum of the moments of the forces on the other side of the pivot point.

The moment of the weight of the meter stick about the pivot point is calculated as follows:

Moment of the weight of meter stick = force * distance from pivot point

= 235.2 N * 0.4 m

= 94.08 N*m

The moment of the weight hanging from the 9 cm mark about the pivot point is calculated as follows:

Moment of weight hanging from 9 cm mark = force * distance from pivot point

= 1.92 N * 0.09 m

= 0.1728 N*m

To keep the meter stick balanced, the moment of the second weight must be equal in magnitude but opposite in direction to the moment of the weight hanging from the 9 cm mark. The moment of the second weight can be calculated as follows:

Moment of second weight = force * distance from pivot point

= 1.92 N * distance from pivot point

Substituting the value of the force and setting the moment equal to the negative of the moment of the weight hanging from the 9 cm mark, we get the following equation:

1.92 N * distance from pivot point = -0.1728 N*m

Solving for the distance from the pivot point, we find that the second weight must be located at a distance of 0.09 m from the pivot point, or 9 cm. This is the same distance from the pivot point as the weight hanging from the 9 cm mark.

Therefore, the second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.

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The maximum height an object will reach if it is thrown vertically upwards at 24.0 m/s will be equal to 29.35 meters.

Kinetic energy is the term used in physics to describe the force that a moving item has.

It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except for variations in speed, the body retains the kinetic energy it gains during acceleration.

As per the given information in the question,

The formula of kinetic energy is,

K.E = 1/2 mv²   (i)

The formula of gravitational potential energy is,

u = mg     (ii)

Equate equations (i) and (ii)

1/2 mv² = mgh

h = 1/2 v²/g

h = 1/2 (24)²/9.81

= 576/19.62

h = 29.35 meters.

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The correct expression for the resulting velocity is -1/2 vcar. The correct option is c.

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

A car travels down a road at a certain velocity, is Vcar.

Let the initial velocity of the car travel downward be -V car

It is also, given, that the driver slows down so that the car is traveling only half as fast as before.

Resulting velocity = -1/2 vcar

Therefore, the correct option is c. -1/2vcar.

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The required force is F = 3240 N.

As a result,

1200 kg is the car's mass.

Initial speed of the vehicle, u = 0.

The car's final speed is 27 meters per second.

Thus we have to first calculate the acceleration and then substitutes its value in the force formula

Taking time, t = 10 s

F = m a, where a represents the vehicle's acceleration, is the formula for the required force.

a= v - u / t

thus a = 27 - 0/ 10

a = 27/ 10

F = 1200 X 27 / 10

F = 3240 N.

Therefore, this is the necessary solution.

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Answer: Hookes law states F=kX where F is the force applied, k is the spring constant, and X is the extension of the spring from its resting point.Substituting the values in, we get:F=100*(0.65-0.5)=100*0.15=15N

Air pressure must  be supplied to remove water from the ballast tanks is  9.8*105  N/m^2.

Buoyancy  is the upward force exerted by a liquid that opposes the weight of a partially or fully submerged object. In a liquid column, the pressure increases with depth due to the weight of the liquid above. Therefore, the pressure at the bottom of the liquid column is higher than the pressure at the top of the column. Similarly, the pressure at the bottom of an object immersed in liquid will be greater than at the top of the object. A pressure differential results in a net upward force on an object. The magnitude of the force is proportional to the pressure difference and corresponds to the weight of the liquid (as explained by Archimedes' principle). This is the displaced liquid that would otherwise occupy the underwater volume of the object.

We know that pressure below the surface of water is P1 = Po +hdg

                    pressure at the surface of water is P2 = Po

Then pressure difference is P = P1 -P2 = hdg

h = depth = 100 m

d = density of water = 1000 kg/m3

g = 9.8 m/s2

Then P = 100*1000*9.8 = 9.8*105  N/m^2

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The rotational inertia of the wheel which has a radius of 0.34 m is 4.782 kgm²

The force applied tangentially to the wheel = 16.88 N

The radius of the wheel = 0.340 m

The angular acceleration of the well = 1.20 rad /s²

The rotational inertia can be found using the formula,

             I = F x r / α

where I is the rotational inertia

          F is the force applied

          r is the radius of the wheel

          α is the angular acceleration

Let us substitute the known values in the above equation, we get

              I = 16.88 x 0.34 / 1.20

                = 5.7392 / 1.20

                = 4.782 kgm²

Therefore, the rotational inertia is 4.782 kgm²

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The kinetic energy is 939.87 J.

Kinetic energy is the power that an object has as a result of motion. If we want to accelerate an object, we have to exert force. Applying force requires effort on our part. The object will be moving at a new, constant speed once the work is done because energy has been transferred to it.

A particle, an object, or a collection of particles can move because of kinetic energy, which is the force that drives motion. Kinetic energy is used by objects in motion like a person walking, a baseball being thrown, food falling from a table, and charged particles in an electric field.

Kinetic energy = 1/2mv²

Kinetic energy =  1/2×0.06×177²

Kinetic energy = 939.87 J.

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Relative to the observer in on the shore, the velocity of the boat is 6.5 m/s, NE.

What is relative velocity?

The velocity of an object in relation to another observer is known as its relative velocity.

We cay say that the relative velocity is equal to the vector difference between the velocities of two objects. The relative velocity of A with respect to B= velocity of the body A – velocity of the body B.

The diagram below shows the calculation where AC is relative speed, AB is speed of the boat and BC is the speed of stream.

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Three helium-4 nuclei (alpha particles) are turned into carbon by a series of nuclear fusion processes known as the triple-alpha process.

What results from the triple-alpha procedure as the finished product?

The triple-alpha process and the alpha process are two classes of nuclear fusion reactions that stars use to change helium into heavier elements. The alpha process is also referred to as the alpha ladder. [1] Only helium is used in the triple-alpha process, which also yields carbon.

Which statement concerning alpha particles in an atom is accurate?

Two protons and two neutrons make up alpha particles, which are identical to helium nuclei and have a positive charge.

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Mass of the fertilizer bag is 165.82 kg

According to Newton's law,

F = m*a

So, m= F/a

m= 131/0.790

m= 165.82 kg

Mass is the measure of matter of a body.

Newton has stated three laws of motion. The first law states that every object will remain at rest or in uniform motion in a straight line unless an external force compels it to change its state of action .

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

The third law states that every action has an equal and opposite reaction.

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Refer to the attached photos. I would appreciate a rate :)

The weight of the bucket suspended by rope held in your hand is 20 N.

Newton's third law of motion states that for every action there is an equal and opposite reaction. That is the force applied or exerted on an object is equal to the reaction of the object.

Mathematically, the formula for the Newton's third law of motion is given as;

Fa = Fb

where;

The applied force and the reaction force are equal in magnitude but opposite in direction.

Thus, if the tension holding a bucket upward is 20 N, then there must be an equal and opposite force pushing the bucket downwards. The downward force of the bucket or the weight of the bucket must be equal to the tension holding the bucket upwards.

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A particle moving in a circle has a linear velocity that is related to its angular velocity by the relationship r/r, where r is the radius, based on our understanding of circular motion.The most significant actions must be taken by the person on the outside.

While linear speed v increases with radius, angular speed does not. For instance, to maintain line with the rest of the marching band, the individual on the outside must take the biggest steps.

Therefore, Every particle with a rigid body is subject to the relation v/ r = at any given time.

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The velocity of third mass of watermelon is 3.12m/sec if it explodes into three equal masses.

We know that we need to conserve the momentum of watermelon in a certain direction.Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

Now,initial momentum of watermelon=0Kg-m/sec

Alos,we know that momentum =mass× velocity

Now,suppose watermelon has mass m.When it explodes into three equal parts,then the mass of each watermelon pieces is m/3

=>So,final momentum of piece moving to east=(m/3)×15

Similarly final momentum of second and third piece are

(m/3)×10×1/√2 and (m/3) × v × (1/√2)

So,conserving momentum,we get

=>0=(m/3) × 15 +((m/3)×10×1/√2 ) + (m/3)×10×1/√2 )×v

=> - (15 + 10/√2) = (10/√2)×v

=> - (15√2 + 10) = 10v

=>v = (15√2 + 10)/10

=>v= -(21.21+10)/10

=>v= -31.21/10

=>v= -3.12m/sec

Here negative sign shows that mass will move opposite direction to first piece.

Hence, required velocity is 3.12m/sec.

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If the light travels along the length of a 1500 nm , then

(a) if the wavelength is 500 nm then there will be a peak at other end .

(b) if the wavelength is 1000 nm then there will be a valley  .

Wavelength is defined as the distance between two consecutive peaks or valleys .

given the length is = 1500 nm ;

we know that , the formula is L = nλ ;

Part (a) ;

for peak at other end ,

n should be a whole number ;

So , λ = 500 nm

n = 1500/500 = 3 ,

Part(b)

λ = 1000 nm ;

n = 1500/1000

= 1.5

Therefore , (a) There will be a peak at other end .

(b) There will not be a peak at other end .

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Answer:

D

Explanation:

distance does not factor in when you are calculating the gravitational force of an object

The heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

Styrofoam is a trademarked brand of foam insulation and craft material manufactured by the Dow Chemical Company. It is made from expanded polystyrene (EPS) beads that are fused together with steam and pressure. EPS is a lightweight and rigid material that is used for insulation, packaging, and soundproofing. Its properties make it an ideal material for crafting, floristry, model building, and other art projects. Styrofoam is stable in most environments and is resistant to water, oil, and most chemicals. It can be cut, shaped, and painted easily and is an excellent thermal insulator. In addition, it is also non-toxic and non-carcinogenic, making it a safe and economical choice for many applications.

Assuming that the wall is a perfect insulator, the heater will have to provide enough power to make up for the heat lost due to conduction and convection. The rate of heat loss per unit area is given by:

Q = λ*A*(T2 - T1)/d
Where:
λ = thermal conductivity of styrofoam (see table above)
A = Area of wall (3*3) = 9 m2
T2 = Temperature inside the house (25C)
T1 = Temperature outside the house (0C)
d = thickness of styrofoam insulation (2.5 cm)

Plugging in the values we get:
Q = 0.045*9*(25-0)/0.025 = 540 W
Therefore, the heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

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The time period of the small oscillations for the simple pendulum is found to be  3.14 seconds.

The pendulum is located in an elevator that is accelerating upwards with an acceleration of 6m/s² and length of the pendulum is 4m.

Because the elevator is accelerating in the upper direction the net acceleration of the pendulum will be (10 + 6)m/s².

The period of small accelerations for this pendulum will be given by the relation,

T = 2π(l/a)

Where,  l is the length of pendulum and a is the net acceleration.

Putting values,

T = 2π(4/16)

T = 2π(1/2)

T = π seconds.

T = 3.14 seconds.

So, the time period of this small oscillations for this pendulum is 3.14 second.

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Most photons that leave the sun's surface have a surface temperature of 6,000 K, which corresponds to the visible light region of the electromagnetic spectrum.

The electromagnetic spectrum is a continuous range of wavelengths and frequencies that includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. The wavelengths and frequencies of these different types of electromagnetic radiation are all different and correspond to different regions of the spectrum.

The visible light region of the electromagnetic spectrum is the portion of the spectrum that can be seen by the human eye. It ranges from about 400 nanometers (nm) to about 700 nm in wavelength, and corresponds to frequencies of about 7.5 x 10^14 Hz to about 4.3 x 10^14 Hz. Photons with wavelengths and frequencies in this range have enough energy to excite the photoreceptors in the human eye, allowing us to see them.

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The new acceleration would be 24.0 m/s/s.

Acceleration is the rate of change of velocity of an object over time. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the result of applying a force to an object, and can be described mathematically as the change in velocity (or speed) divided by the time it takes for the acceleration to occur. Acceleration can also be caused by a change in the direction of motion and is measured in meters per second squared (m/s2). It is an important concept in physics, and is used to describe motion in objects ranging from cars to planets.

The new acceleration would be 24.0 m/s/s. This is because the acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass. Therefore, doubling the mass of the object would halve the acceleration, since the force applied to the object remains the same.

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The kWh used per week by the electric range whose voltage and current is 240 V and 11 A respectively is 18.48 kWh.

A kilowatt-hour is a unit of energy: one kilowatt of power for one hour. In terms of SI derived units with special names, it equals 3.6 megajoules (MJ).

To calculate the kWh per week of the electric range, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the kWh used per week is 18.48 kWh.

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Answer:

Below

Explanation:

Normal force will be   mg cos 15° = 1.5*9.81 cos 15°   Newtons

Downplane force will be  mg sin 15° = 1.5 * 9.81  sin 15°    N

Acceleration

F = ma

F/m = a

1.5 ( 9.81) sin 15° / 1.5   m/s^2  = a

Answer: Down below is the answer in complete sentences!

Explanation:

PART A:

Gravity and Acceleration are two additional forces acting upon the sled.

PART B:

Gravity will affect the sled by pulling it down, since the slope of the hill is negative.

Acceleration will affect the sled by gradually increasing it's speed, since the slope is downwards, which in addition to the initial force exerted plus gravity increases the speed, thus the sled accelerates.

The kinetic energy of the object is 64 joule.

According to the definition of kinetic energy in physics, it is the amount of work that an item may accomplish while in motion.

As a scalar quantity, kinetic energy can only be fully defined by its magnitude.  SI unit of kinetic energy is Joule.

Given that: mass of the object: m = 2 kg.

Velocity of the object: v = 8 m/s.

Hence, kinetic energy of it   =1/2* mass* velocity^2

=  1/2*mv^2

= 1/2 × 2 × 8^2 joule

= 64 joule.

Hence the kinetic energy is 64 joule.

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Answer:

Explanation:

Fg = W = mg = (5.0 kg)(9.8 m/s²) = 49 N

Fnormal = W = 49 N

Ff = μFn = (0.10)(49 N) = 4.9 N

Fnet = 15 N - 4.9 N = 10.1 N

a = Fnet/m = (10.1N)/(5.0kg) = 2.02 m/s²