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andrew-mc [135]
3 years ago
10

Imagine that a relativistic train travels past your lecture room at a speed of 0.894 c. The passengers of the train claim that w

hen they measure the length of the train using standard meter bars found on the train, the length comes out to be 90.6 m. What would be the length of the train in the frame of the lecture room, if you measured it?
Physics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

The length of the train in the frame of the lecture room is 40.59 m.

Explanation:

Given that,

Speed = 0.894 c

Original length = 90.6 m

We need to calculate the length of the train in the frame of the lecture room

Using formula of length contraction

L=L_{0}\sqrt{1-(\dfrac{v}{c})^2}

Where, L_{0}=original length

v = speed of train

Put the value into the formula

L=90.6\sqrt{1-(\dfrac{0.894c}{c})^2}

L=90.6\sqrt{1-0.894^2}

L=40.59\ m

Hence, The length of the train in the frame of the lecture room is 40.59 m.

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Answer:

Decreases to half.

Explanation:

From the question given above, the following data were obtained:

Initial mass (m₁) = m

Initial force (F₁) = F

Initial acceleration (a₁) =?

Final mass (m₂) = ½m

Final force (F₂) = ¼F

Final acceleration (a₂) =?

Next, we shall determine a₁. This can be obtained as follow:

F₁ = m₁a₁

F = ma₁

Divide both side by m

a₁ = F / m

Next, we shall determine a₂.

F₂ = m₂a₂

¼F = ½ma₂

2F = 4ma₂

Divide both side by 4m

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Finally, we shall determine the ratio of a₂ to a₁. This can be obtained as follow:

a₁ = F / m

a₂ = F / 2m

a₂ : a₁ = a₂ / a₁

a₂ / a₁ = F/2m ÷ F/m

a₂ / a₁ = F/2m × m/F

a₂ / a₁ = ½

Cross multiply

a₂ = ½a₁

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2 Extrusive igneous rock is also known as known as volcanic rocks

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