During a circus performance, a 64-kg human cannonball is shot out of an 17-m-long cannon. If the human cannonball spends 0.99 s in the cannon, determine the average net force exerted on him in the barrel of the cannon.
L=a•t²/2 => a=2•L/t².
F=m•a=2•L•m/t².
To find the average net force exerted on the human cannonball, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.
First, let's find the acceleration of the human cannonball in the barrel of the cannon. We can use the formula for acceleration:
acceleration = change in velocity / time
Since the human cannonball starts from rest, the initial velocity is 0 m/s. The final velocity can be calculated using the equation for velocity:
final velocity = distance / time
Since the distance traveled in the barrel of the cannon is given as 17 meters, and the time spent in the cannon is given as 0.99 seconds, we can calculate the final velocity:
final velocity = 17 meters / 0.99 seconds
Now that we have the final velocity, we can calculate the acceleration:
acceleration = (final velocity - initial velocity) / time
Since the initial velocity is 0 m/s, the acceleration simplifies to:
acceleration = final velocity / time
Next, we calculate the average net force using Newton's second law:
force = mass x acceleration
Given that the mass of the human cannonball is 64 kg, and we have already calculated the acceleration, we can now find the average net force:
force = 64 kg x acceleration
Now you can plug in the values and calculate the average net force on the human cannonball.