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2 years ago

5. If a spring with a 40 N/m spring constant is used to push a 10 kg ball to a speed of 2 m/s,

1 answer:

3 0

By compressing the spring a distance x (in m), you are storing 1/2 k x ² (in J) of potential energy, which is converted completely into kinetic energy 1/2 m v ², where

• k = 40 N/m = spring constant

• m = 10 kg = mass of the ball

• v = 2 m/s = ball's speed (at the moment the spring returns to its equilibrium point)

So we have

1/2 k x ² = 1/2 m v ²

x = √(m/k v ²) = √((10 kg) / (40 N/m) (2 m/s)²) = 1 m

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A machine gun fires 50-g bullets at the rate of 4 bullets per second. The bullets leave the gun at a speed of 1000 m/s. What is

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Answer:

Average recoil force experienced by machine will be 200 N

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We have give mass of each bullet m = 50 gram = 0.05 kg

There are 4 bullets

So mass of 4 bullets = 4×0.05 = 0.2 kg

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3 years ago

In an engine, an almost ideal gas is compressed adiabatically to half its volume. In doing so, 1850 J of work is done on the gas

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Answer:

The value of change in internal l energy of the gas = 1850 J

Explanation:

Work done on the gas (W) = - 1850 J

Negative sign is due to work done on the system.

From the first law we know that Q = Δ U + W ------------- (1)

Where Q = Heat transfer to the gas

Δ U = Change in internal energy of the gas

W = work done on the gas

Since it is adiabatic compression of the gas so heat transfer to the gas is zero.

⇒ Q = 0

So from equation (1)

⇒ Δ U = - W ----------------- (2)

⇒ W = - 1850 J (Given)

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3 years ago

Light requires 4.5 years to travel from the nearest star to earth. If we could travel there in a spaceship going 90% of the spee

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Answer:

Time according to earth clock (T0) = 0.22 years (Approx)

Explanation:

Given:

Time taken by light = 4.5 years

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Speed of light = c

Speed of ship (v) = 90% of c = 0.9c

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Time according to earth clock (T0) = ?

Computation:

Time dilation is ,

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3 years ago

Climatology is a subspecialty of what?

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Climatology is a subspecialty of Meterology.

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