Tyler is standing at the 10-yard line waiting to catch the initial kick-off. The .75 kg football experiences a change in velocity of 12 m/s in .17 s when caught by Tyler. What force does Tyler apply on the football?
To find the force that Tyler applies on the football, we can use Newton's second law of motion, which states that force (F) is equal to the mass (m) of an object multiplied by its acceleration (a). We can calculate acceleration using the equation:
a = Δv / Δt
where Δv is the change in velocity and Δt is the time taken for the change.
Given information:
Mass of the football, m = 0.75 kg
Change in velocity, Δv = 12 m/s
Time, Δt = 0.17 s
1. First, calculate the acceleration (a):
a = Δv / Δt
a = 12 m/s / 0.17 s
a ≈ 70.59 m/s²
2. Now, apply Newton's second law to find the force (F):
F = m * a
F = 0.75 kg * 70.59 m/s²
F ≈ 52.94 N
Therefore, Tyler applies a force of approximately 52.94 Newtons on the football.