1. A 75.0kN spaceship comes in for a vertical landing. From an initial speed of

Question

1. A 75.0kN spaceship comes in for a vertical landing. From an initial speed of 1.00 km/s, it comes to rest in 2.30min with uniform acceleration

2. At a construction site, a 29.0kg bucket of concrete is connected over a very light frictionless pulley to a 400N box on the roof of a building. (See the figure.) There is no appreciable friction on the box, since it is on roller bearings. The box starts from rest.

Part A: Find the acceleration of the bucket.

Part B: How fast is the bucket moving after it has fallen 1.50 m (assuming that the box has not yet reached the edge of the roof)?

1. A 75.0kN spaceship comes in for a vertical landing. From an initial speed of 1.00 km/s, it comes to rest in 2.30min with uniform acceleration 2. At a construction site, a 29.0kg bucket of concrete is connected over a very light frictionless pulley to a 400N box on the roof of a building. (See the figure.) There is no appreciable friction on the box, since it is on roller bearings. The box starts from rest. Part A: Find the acceleration of the bucket. Part B: How fast is the bucket moving after it has fallen 1.50 m (assuming that the box has not yet reached the edge of the roof)?

Explanation / Answer

total downward force F = mg = 29 *9.8 = 284.2 N

tmass m = F/g = 400/9.8   = 40.81 Kgs

Force on bucket Fb = total mass * gravity

Fb = (29+40.81) * a

a = 284.2/(69.81)

a = 4.07 m/s^2

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aprt B:

Vf^2 = Vi^2 + 2aS

Vf^2 = 0 + 2* 4.07 * 1.5

Vf = 3.49 m/s

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