a ramp is 2.8 m long and 1.2 m high. how much power is needed to push a box up a ramp in 4.6 s with a force of 96 N?

P= W /t= F•s/t =96•2.8 /4.6 =58.46 W

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To calculate the power needed to push a box up a ramp, we need to use the formula:

Power (P) = Work (W) / Time (t)

To calculate the work done, we need to find the force applied and the distance over which the force is applied. In this case, the force applied is 96 N, and the distance covered is the horizontal length of the ramp, which is 2.8 m.

First, let's calculate the work done (W):

Work (W) = Force (F) * Distance (d)

W = 96 N * 2.8 m

W = 268.8 Joules

Now, we need to calculate the power (P) using the work done and the time taken:

Power (P) = Work done (W) / Time taken (t)

P = 268.8 J / 4.6 s

P ≈ 58.61 Watts

Therefore, approximately 58.61 Watts of power is needed to push the box up the ramp in 4.6 seconds with a force of 96 N.