Rhonda Vous, the 445N human cannonball, is shot from her cannon, leaving it at 18.0 m/s. How much work did the cannon do on her?
To find the work done by the cannon on Rhonda, we can use the formula for work:
Work = Force × Distance × cos(θ)
In this case, the force applied by the cannon is the force required to accelerate Rhonda to a speed of 18.0 m/s. However, the force is not given directly in the question, so we need to use Newton's second law of motion:
Force = Mass × Acceleration
Since the acceleration is not given, we can use the kinematic equation that relates initial velocity (v0), final velocity (vf), acceleration (a), and displacement (d):
vf^2 = v0^2 + 2ad
Rearranging the equation to solve for acceleration (a):
a = (vf^2 - v0^2) / (2d)
Now we have everything we need to calculate the force:
Force = Mass × ((vf^2 - v0^2) / (2d))
Finally, we can substitute the force into the work formula:
Work = (Mass × ((vf^2 - v0^2) / (2d))) × Distance × cos(θ)
Since we don't have information about the mass of Rhonda or the angle θ, we cannot calculate the exact work done by the cannon on her.