On a whim, you are trying to stand in a cart attached to a strong spring. The spring is compressed and then released, and you oscillate back and forth, trying to maintain your balance. There is a sand bag in the cart.

At the instant you pass through the equilibrium (x=0) location of the spring, you drop the sandbag onto the ground, out of the cart.

Question: If you drop the sand bag out of the cart right at the equibrium location, what effect will that have on the amplitude of your oscillation? (choose correct choice):
a.) The amplitude of oscillation will increase.
b.) The amplitude of oscillation will decrease.
c.) There will be no effect on the amplitude.

Question

Physics

Answered

On a whim, you are trying to stand in a cart attached to a strong spring. The spring is compressed and then released, and you oscillate back and forth, trying to maintain your balance. There is a sand bag in the cart.

At the instant you pass through the equilibrium (x=0) location of the spring, you drop the sandbag onto the ground, out of the cart.

Question: If you drop the sand bag out of the cart right at the equibrium location, what effect will that have on the amplitude of your oscillation? (choose correct choice):
a.) The amplitude of oscillation will increase.
b.) The amplitude of oscillation will decrease.
c.) There will be no effect on the amplitude.

Answer :

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TUTORCONSORTIUM643GO TUTORCONSORTIUM643GO · Answer 1

On dropping the sandbag the amplitude of vibrations will decrease.

what is amplitude?

when compared to its equilibrium position, the displacements or distance traveled by a spot on a vibrating body or wave.

Why amplitude will decrease on dropping the sand bag?

The cart-spring mechanism loses energy when the sandbag is dropped. Because of this, the amplitude cannot be constant.

The system would only be able to gain energy if the amplitude increased. The sandbag is dropped, yet there is no gain in energy.

The sandbag possesses kinetic energy at equilibrium, which escapes the system containing the sandbag. Since the amplitude and system energy are inversely proportional (E=1/2(k)A2), a decrease in system energy must result in a decrease in the motion's amplitude.

Thus, the amplitude is reduced.

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