Linear Impulse-Momentum Principle - Example Problem 9.3-9

 

A 0.45-kg soccer ball rolls to a player with a velocity of 3 m/s, in the direction shown, before being kicked by the player. After the ball is kicked, it moves in the direction shown with a velocity of 10 m/s. If the ball is in contact with the player’s foot for 0.10 seconds, determine the magnitude and direction of the average force exerted by the player during the kick.

 

 

Given:

• m = 0.45 kg
• v₁ = 3 m/s
• v₂ = 10 m/s
• Δt = 0.1 s

 

Find:

• F

 

Video solution:

 

The following video walks you through the solution to this problem. It is suggested that you try solving the problem first and then, if you have difficulties with the solution, watch the video for help.

 

 

Interactive solution:

 

What is the ball's change in momentum?

 

ΔG = m(10(sin(θ) i + cos(θ) j) - 3 j)
ΔG = m(10(sin(θ) i + cos(θ) j) + 3 j)
ΔG = m(10(cos(θ) i + sin(θ) j) + 3 j)