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3 years ago

If the force acting on a cart doubles, what happens to the carts acceleration?

Physics

1 answer:

Effectus [21]3 years ago

8 0

Answer:

If the force on a cart doubles, the acceleration of the cart doubles.

Explanation:

For this problem, we need to consider the following equation:

Force = Mass x Acceleration

We can reasonably assume that the cart will have constant mass in the given force system. With this assumption we can say the following relationship:

Force is directly proportional to Acceleration within the system.

Given that our force on the cart is doubled, then our acceleration of the cart must also be doubled. You can mathematically express this as follows:

F = MA

2F = M * 2A

Hence, if force doubles, the acceleration doubles.

Cheers.

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Space-faring astronauts cannot use standard weight scales (since they are constantly in free fall) so instead they determine the

valentinak56 [21]

Answer:

ma = 48.48kg

Explanation:

To find the mass of the astronaut, you first calculate the mass of the chair by using the information about the period of oscillation of the empty chair and the spring constant. You use the following formula:

$T=2\pi\sqrt{\frac{m_c}{k}}$ (1)

mc: mass of the chair

k: spring constant = 600N/m

T: period of oscillation of the chair = 0.9s

You solve the equation (1) for mc, and then you replace the values of the other parameters:

$m_c=\frac{T^2k}{4\pi^2}=\frac{(0.9s)^2(600N/m)}{4\pi^2}=12.31kg$ (2)

Next, you calculate the mass of the chair and astronaut by using the information about the period of the chair when the astronaut is sitting on the chair:

T': period of chair when the astronaut is sitting = 2.0s

M: mass of the astronaut plus mass of the chair = ?

$T'=2\pi\sqrt{\frac{M}{k}}\\\\M=\frac{T'^2k}{4\pi^2}=\frac{(2.0s)^2(600N/m)}{4\pi^2}\\\\M=60.79kg$ (3)

Finally, the mass of the astronaut is the difference between M and mc (results from (2) and (3)) :

$m_a=M-m_c=60.79kg-12.31kg=48.48kg$

The mass of the astronaut is 48.48 kg

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4 years ago

You hear the sound from a tuning fork vibrating at 483 Hz. You then hear the sound from a second tuning fork vibrating at 512 Hz

AleksAgata [21]

Answer:

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Explanation:

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3 years ago

What two forces are most responsible for the formation of the cascade mountains

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3 years ago

Explain how this sand dune was created using the words weathering, erosion, and deposition.

MissTica

By abrasion, the sediment in the wind promotes erosion. The wind scatters sand, sand dunes created. When clay and silt are deposited by the wind. The presence of vegetation ground helps stop wind erosion.

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