The Zacchini family was renowned for their human-cannonball 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 Zacchhini 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 69 m. He was propelled inside the barrel for 5.2 m and launched at an angle of `53^(@)`. If his mass was 85 kg and he underwent consttant 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 `53^(@)`. Neglect air drag.)

Explanation

To solve the problem of determining the magnitude of the force propelling Emanuel Zacchini as he is shot from the cannon, we will follow these steps:

### Step 1: Understand the Problem
Emanuel is launched from a cannon at an angle of 53 degrees and travels a horizontal distance (range) of 69 meters. He is propelled inside the barrel for a distance of 5.2 meters. We need to find the force that propels him, given his mass of 85 kg.

### Step 2: Calculate the Initial Velocity (u)
We can use the formula for the range of a projectile:
\[
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