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Question

Suppose that a box is accelerating at a rate of 2 m/s2 If the net force is tripled and the mass is doubled, then what is the new acceleration of the box?

A
2 m/s2
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B
3 m/s2
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C
4 m/s2
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D
0 m/s2
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Solution


The correct option is (B) 3 m/s2


According to the question

Let F be the force acting on the body with mass M.

given acceleration a = 2 m/s2

From the Newton's second law we know

F=Ma

Or, 2=FM

Now, the force is triple and mass is doubled.

So we can write

F1=3F,M1=2M

a1 be the new acceleration

F1=M1a1

a1=F1M1=3F2M

From (1) the value of FM=2

So, a1=32×2=3 m/s2

Hence the new acceleration is 3 m/s2


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