Physics
21.06.2022 08:22
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Two 64 kg stick figures are performing an extreme blob jump as shown in the diagram

Two 64 kg stick figures are performing an extreme blob jump as shown in the diagram to the right
One stick figure stands atop a 7.0 m high platform with a 256 kg boulder. A second stick figure stands a partially inflated airbag known as a blob (or water trampoline). The first stick figure rolls the boulder off the edge of the platform. It falls onto the blob, catapulting the second stick figure into the air. What is the maximum height to which the second stick figure can rise? Assume that stick figures, boulders, and blobs obey the law of conservation of energy.
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mkn3347
mkn3347
4,7(96 marks)

a) t=0.60 s

b) v_{ox} =0.5m/s

Explanation:

From the exercise we have initial height and final X position

y_{o}=1.807m

X=0.3012m

a) From the concept of free falling objects we have that

y=y_{o}+v_{oy}t+\frac{1}{2}gt^{2}

Since the car runs off the edge of the table, that means the car is moving in x direction with v_{oy}=0m/s and at the end of the motion y=0m

0=1.807m-\frac{1}{2}(9.8)t^{2}

Solving for t

t=± 0.6072 s

Since the time can not be negative, the answer is t=0.6072 s

b) To find the horizontal velocity of the car, we need to use the time that we just calculate

X=v_{ox}t

v_{ox}=\frac{X}{t}=\frac{0.3012m}{0.6072s}  =0.5m/s

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