   Chapter 4, Problem 6P

Chapter
Section
Textbook Problem

A freight train has a mass of 1.5 × 107 kg. If the locomotive can exert a constant pull of 7.5 × 105 N, how long does it take to increase; the speed of the train from rest to 80 km/h?

To determine
The time taken to increase the speed of the train.

Explanation

Given info: The mass of the train is 1.5×107kg and the force exerted is 7.5×105N . The change in velocity is 80 km/h.

Explanation:

The formula to calculate the acceleration of the train (a) is,

a=Fm

Here,

F is the force exerted.

m is the mass of the train.

Substitute 1.5×107kg for m and 7.5×105N for F in the above expression to find a.

a=7.5×105N1.5×107kg=5×102ms2 . (1)

Thus, the acceleration of the train is 5×102ms2

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