Question

7. Calculate the momentum of a 110-kg football player running at
8.0 m/s. Compare the player's momentum with the momentum of a
hard-thrown 0.410-kg football that has a speed of 25.0 m/s.​

Answer 1

here is ur answer..........

Answer 2

Given:

• The mass of the player = 110 Kg
• The speed of the player = 8 m/s
• The mass of the ball = 0.410 Kg
• The speed of the ball = 25 m/s

To Find:

• The momentum of the player and the ball and to compare their ratios.

Solution:

The formula to find the momentum is given by,

p = m×v → {equation 1}

Where "m" is the mass and "v" is the speed or velocity.

1. To find the momentum of the player

On substituting the respective values in equation 1 we get,

⇒ p = 110×8 {multiplying the terms}

⇒ p = 880 Kg.m/s → (2)

2. To find the momentum of the ball.

On substituting the respective values in equation 1 we get,

⇒ p = 0.410 × 25 {multiplying the terms}

⇒ p = 10.25 Kg. m/s → (3)

The ratio of the momentum of the player to the ball is given by,

⇒ (2)/(3) = 880/10.25 = 85.83

∴ 1. The momentum of the player is 880 Kg.m/s

  2. The momentum of the ball is 10.25 Kg.m/s

  3. The ratio of the momentum is 85.83

This implies that the momentum of the player is greater than the ball's momentum.