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The Zacchini family was renowned for their humancannonball act in which a family

ID: 1277193 • Letter: T

Question

The Zacchini family was renowned for their humancannonball act in which a family member was shot from a cannon using either elastic bands or compressed air. In one version of the act, Emanuel Zacchini was shot over three Ferris wheels to land in a net at the same height as the open end of the cannon and at a range of 68 m. He was propelled inside the barrel for 5.7 m and launched at an angle of 50°. If his mass was 81 kg and he underwent constant acceleration inside the barrel, what was the magnitude of the force propelling him? (Hint: Treat the launch as though it were along a ramp at 50°. Neglect air drag.)

Explanation / Answer

It depends on the method use. If you push something up a ramp there are 2 vertical forces:
- the upwards vertical component of the applied force
- the downwards weight.
These have to be added to get the total vertical force.

But here is how I'd do it.
____________________

Step 1. Find the velocity, v, he must leave the cannon.

You could work this out from basics or use the range formula:
R = v

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