Question

An object is initially at rest at the origin at time t=0, when a force in...

An object is initially at rest at the origin at time t=0, when a force in Newtons acts on the object in 1 dimension along the x axis of F(t)=25.0t2-2.0t3 where t is time in seconds. What is the momentum of the object at time t = 12.5 seconds?

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Answer #1

We can solve this problem by using newton's 2nd law of motion. That is by this law we can write

F = dP/dt .

Force = derivative of momentum .

But in this question we have to find out the momentum from force. So to find this , just take the integral of force with respect to time. In the limit of 0 to 12.5 Sec. The detailed explanation is shown below in an image.

so momentum P= 4069.01 kgm/s.

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