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A train's engine exerts a force of 8,500 N to get the train moving. If it takes 3 1/2 minutes to get up to full speed, calculate the impulse delivered. Convert time into seconds first.

Answer :

Final answer:

To solve this, convert the time from minutes to seconds. Then, use the formula for impulse (Impulse = Force * Time). The force exerted by the train's engine is 8500 N and the time is 210 seconds after conversion. Plugging the values into the formula provides an impulse of 1,785,000 kg.m/s.

Explanation:

The subject this question deals with is impulse, a concept in physics. Impulse is the change in an object's momentum and can be calculated by multiplying the force applied to an object by the time the force is applied. Therefore, to answer this problem, we should apply this principle. The engine of the train is exerting a force (F) of 8,500 N to get the train moving and the time this force is applied (t) is said to be 3.5 minutes. However, in physics, time is typically represented in seconds not minutes. Therefore we need to convert our time '3 1/2 minutes' into seconds first, so 3.5 minutes * 60 seconds/minute = 210 seconds. Now that we have force in Newtons and time in seconds, we can plug in our values into our impulse (I) equation:

I = Ft

Substitute our values:

I = 8,500 N * 210 s

I = 1,785,000 kg*m/s

Therefore the impulse delivered is 1,785,000 kilogram meters per seconds or Newton seconds.

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