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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 questionLet 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=MaOr, 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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