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A cargo train accelerates from rest along a straight, flat track at a rate of 1.67 m/s². On one train car, a 35.0 kg box is stacked on top of a 114 kg crate. What is the force of the train car on the crate?

Answer :

The force of the train car on the crate is calculated using Newton's second law of motion, resulting in a force of 190.38 N.

To determine the force of the train car on the crate, we need to consider the acceleration of the train and the respective masses involved. The train accelerates at a rate of 1.67 m/s². The mass of the crate is 114 kg.

We can use Newton's second law of motion, which states:

F = m × a

Here, F is the force, m is the mass, and a is the acceleration.

Substituting the given values:

F = 114 kg × 1.67 m/s²

Calculating the force gives:

F = 190.38 N

Thus, the force of the train car on the crate is 190.38 N.

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