A football punter accelerates a 0.53 kg foot- ball from rest to a speed of 8.6 m/s in 0.24 s.
What constant force does the punter e
force*time=.53*8.6
you know time, solve for force.
To find the constant force exerted by the punter, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.
First, let's calculate the acceleration of the football. We can use the formula:
acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (u) = 0 m/s (since the football was at rest)
Final velocity (v) = 8.6 m/s
Time (t) = 0.24 s
Plugging in the values:
acceleration = (8.6 m/s - 0 m/s) / 0.24 s
acceleration = 35.83 m/s^2
Now, we can calculate the force using Newton's second law:
force = mass × acceleration
Given:
Mass (m) = 0.53 kg
Acceleration (a) = 35.83 m/s^2
Plugging in the values:
force = 0.53 kg × 35.83 m/s^2
force = 19.01 N
Therefore, the constant force exerted by the punter is approximately 19.01 Newtons.