Question

If the magnitude of the net force acting on the particle is F , how long does it take the particle to acquire its final velocity, 2v in the positive y direction? Express your answer in terms of m, F and v If you use a numerical coefficient, use three significant figures. I found that the answer is (mv/F) but its asking with use three significant figures so how i can find it

Answer 1

The time it takes for a particle to acquire its final velocity is (mv/F).

Step-by-step explanation:

To find the time it takes for a particle to acquire its final velocity, we can use the formula: time = change in velocity / acceleration. In this case, the change in velocity is 2v - v = v. The acceleration can be calculated using Newton's second law, F = ma, where F is the net force and m is the mass of the particle. Rearranging the formula gives us a = F/m. So, the time it takes for the particle to acquire its final velocity is t = v / (F/m) , which simplifies to t = mv/F. Therefore, the answer is (mv/F).