Captain Kirk has landed on planet X and does some experiments. He applies a cons

Question

Captain Kirk has landed on planet X and does some experiments. He applies a constant horizontal force F=28.0 N to a small box that is initially  at rest on a horizontal frictionless surface and measures that the box has a speed of 6.00 m/s after it has traveled a horizontal distance of 36.0 m. He then throws the box straight upward with an initial speed of 8.00 m/s and finds that it reaches its max height above the surface in 4 s. What is the weight of the box, that is, the magnitude of the gravity force that the planet exerts on the box?

Explanation / Answer

v^2 - u^2 = 2ad

6^2 - 0 = 2 x a x 36

a = 0.5m/s2

F = ma

m = 28/0.5 = 56 kg

v = u + at

0 = 8 + a x 4

a = - 2 m/s2

W = 56 x 2 = 112 N

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