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Question

A truck of mass M is moved under a force F. If the truck is then loaded with an object equal to the mass of the truck and the driving force is halved, then how does the acceleration change?


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Solution

Step 1: Given

Mass of the truck = M

Driving force = F

Let acceleration be a1

After loading mass of truck = 2M

After loading driving force = F2

Let acceleration be a2

Step 2: Formula used

We know that

F=ma

Step 3: Calculating change in acceleration

Before loading

F=Ma1a1=FM

After loading

F2=2Ma2a2=F4M

Ratio of accelerations is

a1a2=FMF4Ma1a2=4a2=a14

Hence, acceleration after loading the object becomes 14 the initial acceleration.


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