a motorcyclist moves at a constant speed down one hill and up another hill along the smooth curved surface. when the motorcyclist reaches the lowest point of the curve its velocity and acceleration directions are: (a) (b) (c) (d) 5. a car moves along the curved track. what is the apparent weight of the driver when the car reaches the lowest point of

Frequency is inversely proportional to the time period. That is, f = 1/T.

This refers to the number of waves that passes a fixed place in a given amount of time.  Frequency is measured in hertz, this is equal to one event per second.

What is period, T ?

This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.

Note:  AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.

Mathematically :

f = 1/T

T =Total time,Period

f =  Frequency

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The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m

We'll begin by obtaining the acceleration of the box. Details below:

Net force = mass × acceleration

40 = 10 × acceleration

Divide both sides by 10

Acceleration = 40 / 10

Acceleration = 4 m/s²

Finally, we shall determine the distance. Details below

v² = u² + 2as

5² = 0² + (2 × 4 × s)

25 = 0 + 8s

25 = 8s

Divide both side by 8

s = 25 / 8

s = 3.125 m

Thus, we can conclude that the distance covered is 3.125 m

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True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.

One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.

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The energy that results from an object's location in relation to other things is known as potential energy. Potential energy is frequently connected to restorative forces like the force of gravity or a spring.

The mechanical energy of an item is the total of its potential and kinetic energies. A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the reduction in potential energy is exact.

Potential energy and kinetic energy vary primarily in that one is the energy of what can be and the other is the energy of what is. In other words, stored energy is ready to be released but potential energy is immobile.

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The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)

We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.

if r is a deuteron's radius, then by the law of conservation of energy, we get,

2K=1/4πϵo. e²/2r

putting values, we get

K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.

J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,

5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).

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Answer:

C.) The United States would become less dependent on energies that emit greenhouse gases.

Explanation:

If nuclear energy increased, it would occupy a larger piece of the pie chart.  The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant.  This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used.  Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2.  An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.

The car’s average acceleration is 6 meter/second^2.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given that: the car can accelerate from rest to 30 m/s in 5 seconds.

Hence, average acceleration of the car = change in speed/time interval

= ( final speed - initial speed)/time interval

= ( 30 m/s - 0 m/s) / 5 second

= (30/5) meter/second^2

= 6 meter/second^2.

Hence, the  average acceleration of the car  is  6 meter/second^2.

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Assuming a piece of stone is projected vertically upwards with a speed of 25ms^-1, its speed at its highest point reached is equal to zero (0) m/s.

In Science, projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic path, and under the influence of a gravitational force (gravity) only.

Generally speaking, when this stone is thrown straight up or projected vertically upwards at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration.

Consequently, the stone reaches a maximum height (highest point) where it cannot go higher anymore and then starts to fall down (descend) due to gravity.

In this context, we can reasonably infer and logically deduce that the speed of any physical object would be equal to zero (0) meter per seconds when it reaches a maximum height (highest point).

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Complete Question:

A piece of stone is projected vertically upwards with a speed of 25 ms^-1. Determine its speed at its highest point reached. (g = 10 ms-2).

Answer: Acceleration

Explanation:

When two objects interact through the gravitational force between them, the more massive one has a lower acceleration than the less massive object.

Using the water that is both held in dams and flowing in rivers, hydropower, also known as hydroenergy, is a renewable energy source.

In order to generate electricity, hydroelectric power uses the force of moving water, making it a renewable energy source. Long before you switch on a light at home or at work, the hydroelectric process has already begun.

Water must flow in order to generate power. Kinetic energy is energy that moves. The energy transforms into mechanical (machine) energy as flowing water turns blades in a turbine.

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We can determine if a star is moving toward or away from earth by measuring its brightness.

The correct answer would be:

[tex]\fbox{False}[/tex]

The deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.

To find the deceleration of the motorcycle, we can use the formula:

deceleration = (final velocity - initial velocity) / time

Plugging in the given values, we get:

deceleration = (0 m/s - 15.0 m/s) / 5.0 s = -3.0 m/s^2

To find the distance the motorcycle travels during deceleration, we can use the formula:

distance = (initial velocity * time) + (1/2 * deceleration * time^2)

Plugging in the given values, we get:

distance = (15.0 m/s * 5.0 s) + (1/2 * -3.0 m/s^2 * 5.0 s^2) = 75.0 m

So the deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.

Answer:

While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).

On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)

Explanation:

The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is  147.2 N .

The Pascal's Law states that the relation between the pressure , force and area is given as :

Pressure = Force/Area ;

given that the diameter of the master cylinder is = 1.93 cm ;

so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;

the diameter of slave cylinder is = 24.9 cm ;

the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;

Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²

Area of the master cylinder (A₂) =  π(0.00965)² = 0.000292 m² ;

given mass of the car = 2500 Kg ,

the force exerted will be : F = m*a

F₁ = 2500*9.8 = 24500 N ;

F₁/A₁ = F₂/A₂

So , 24500/0.0486 = F₂/0.000292

F₂ = (24500/0.0486)×0.000292

F₂ = 147.2 N

Therefore , the force exerted on the master cylinder is 147.2 N  .

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The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m

To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:

s = ut

20 = 5 × t

Divide both sides by 5

t = 20 / 5

t = 4 s

Finally, we shall determine the height of the cliff. Details below:

h = ½gt²

h = ½ × 9.8 × 4²

h = 4.9 × 16

h = 78.4 m

Thus, the height of the cliff is 78.4 m

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The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg

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.

We know that momentum =mass × velocity

So,initial momentum of car is =1.4 × 10³kg × 37km/hr

Similarly,,initial momentum of truck=2×10³kg × 35km/hr

Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg +  2×10³kg=3.4 ×10³kg

Assume final velocity of both vehicle is v

So,following the law of conservation,we get

=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v

=>51.8 ×10³ + 2×10³=3.4×10³ ×v

=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v

=>v = 53.8/3.4

=>v=15.82m/sec

Hence,final velocity of both vehicle after collision is 15.82m/sec.

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An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.

That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.

Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.

Area of tendon 0.4×0.2

=0.08 square inch.

0.08 square inch tendon =16000×0.08

F =1280 pound.

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Newton's third law states that any action will have a(n) equal and opposite reaction.

The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.

The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.

d

sin

θ

=

n

λ

2

(

sin

θ

)

=

(

1

)

(

410

×

10

−

9

)

sin

θ

=

410

×

10

−

9

2

=

2.05

×

10

−

7

θ

=

sin

−

1

(

2.05

×

10

−

7

)

=

1.17

×

10

−

5

Thus the angle is

1.17

×

10

−

5

.

(b.)

Given data

The width of slit is

d

=

2.00

m

.

The number of minimum is

n

=

1.

The wavelength is, \lambda =700 nm

The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.

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The change in internal energy of a system is - 5290×10⁴J.

Innate strength A system's or a body's (with clearly defined boundaries) U is made up of the sum of the kinetic and potential energies resulting from molecular motion as well as the electric and vibrational motion of the atoms within molecules.

Heat transfer into the system Q₁ = 4.23×10⁶J

Heat transfer out of the system Q₂ = 9.07× 10⁶J

Work done W =  4.50×10⁵J

The heat transfer into the system less the heat transfer out of the system is now known as the net heat transfer.

Q = Q₁ - Q₂

Q = 4.23×10⁶ -  9.07× 10⁶

Q = -4.84× 10⁶J

The first law of thermodynamics provides the following formula for the change in internal energy:

ΔU = Q - W

ΔU = -4.84× 10⁶ -  4.50×10⁵

ΔU = - 5290×10⁴J.

A negative sign indicates a decrease in internal energy.

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The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.

Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.

How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.

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According to the given statement 11303.5 kg  is the weight of the truck.

The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.

The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.

B = ρ g V

It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.

          Σ F = 0

          B-W = 0

          B = W

body weight

          W = M g

the volume is

          V = l to h

          (l to h) = M g

          M = l a h

we calculate

          M = F = 1000 . 10. (4.70 x 6.50 x 0.037)  = 11303.5 N

          M = 11303.5 kg

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When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated =  5.32 *10^-7 m.

The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.

Given, t= 100nm= 100 * 10 ^-9  n= 1.33

ΔФ1 = λ/4

ΔФ2 = 2√2 t λ n/2 λ

=2 t n

=2 * 100 * 10 ^-9 * 1.33

= 2.66 *10^-7

2.66 *10^-7= λ/2

λ=  5.32 *10^-7 m.

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The speed of the wave is determined as 18 m/s.

option D is the correct answer.

The speed of the wave is the rate of change of wave's displacement with time.

The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.

v = fλ

where;

The frequency of the wave is calculated as follows;

f = 1 / T

where;

The period of a wave is the time taken for the wave to complete one cycle.

In the picture given, 3 cycles of the wave = 0.5 s

1 cycle of the wave = ?

= 0.5 s / 3

= 0.16667 s

f = 1 / T

f = 1 / 0.16667

f = 6 Hz

The speed of the wave is calculated as follows;

v = fλ

v = 6 Hz  x  3 m

v = 18 m/s

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Answer:

The answer seems to be,

A) The ball is accelerated while it is pushed by the student's hand due to an

A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.

(The answer might be wrong. )

Answer:

105N

Explanation:

force = mass x acceleration

force without the 25N = 40 x 2

= 80N

On top of this, he has to counteract the 25N so the actual force is 80N + 25N which is 105N

Initial velocity=- 80km/h, the diameter of the tyre= 75cm, and revolution= 300. initial angular velocity wi= v/r (80) (5/18)/75/200= 59.26 rad/sec. so, angular acceleration is 0.93 rad/sec2.

We must first determine the tires' angular acceleration. Let's transform the provided translational velocity to rotational velocity to do this. Thus, the tires' angular acceleration is 2.42 rad/s2 rad/s2.

The angular velocity (w), a vector quantity in a uniform circular motion, is determined by dividing the angular displacement (), also a vector quantity, by the change in time (t). Speed is equal to |w|R and is calculated by dividing the arc length traveled (S) by the change in time (t).

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Answer:

Below

Explanation:

ESE = 1/2 k d^2

        = 1/2 *  10 N/m * .1 m = .5 J