Q2 **Problem Statement**A soccer player kicks a 0.4 kg ball from rest towards the opposing team’s net. The ball has a velocity of 24 m/s the instant after being kicked, and the player’s foot is in contact with the ball for 0.30 s. What is the average force exerted on the ball?**Answer Options**- 64 N- 16 N- 80 N- 32 N- 0.03 N**Explanation**To find the average force exerted on the ball, we use the formula derived from Newton's second law, which connects force, mass, and acceleration:\[ F = \frac{\Delta p}{\Delta t} \]Where:- \( \Delta p \) is the change in momentum- \( \Delta t \) is the time during which the change occurs**Steps:**1. Calculate the change in momentum (\( \Delta p \)): - Initial momentum = 0 (since the ball starts from rest) - Final momentum = mass × final velocity = 0.4 kg × 24 m/s = 9.6 kg·m/s - \(\Delta p = 9.6 \, \text{kg·m/s} - 0 = 9.6 \, \text{kg·m/s}\)2. Calculate the average force: - \[ F = \frac{\Delta p}{\Delta t} = \frac{9.6 \, \text{kg·m/s}}{0.30 \, \text{s}} = 32 \, \text{N} \]Therefore, the average force exerted on the ball is **32 N**.

Given: The mass of the ball is 0.4 kg. The initial speed of the ball is 0 m/s. The final speed of…

A soccer player kicks a 0.4 kg ball from rest towards the opposing team's net. The ball has a velocity of 24 m/s the instant after being kicked, and the player's foot is in contact with the ball for 0.30 s. What is the average force exerted on the ball? 64 N 16 N O 80 N O 32 N 0.03 N

A soccer player kicks a 0.4 kg ball from rest towards the opposing team's net. The ball has a velocity of 24 m/s the instant after being kicked, and the player's foot is in contact with the ball for 0.30 s. What is the average force exerted on the ball? 64 N 16 N O 80 N O 32 N 0.03 N

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Problem Statement**

A soccer player kicks a 0.4 kg ball from rest towards the opposing team’s net. The ball has a velocity of 24 m/s the instant after being kicked, and the player’s foot is in contact with the ball for 0.30 s. What is the average force exerted on the ball?

**Answer Options**

- 64 N
- 16 N
- 80 N
- 32 N
- 0.03 N

**Explanation**

To find the average force exerted on the ball, we use the formula derived from Newton's second law, which connects force, mass, and acceleration:

\[ F = \frac{\Delta p}{\Delta t} \]

Where:
- \( \Delta p \) is the change in momentum
- \( \Delta t \) is the time during which the change occurs

**Steps:**

1. Calculate the change in momentum (\( \Delta p \)):
- Initial momentum = 0 (since the ball starts from rest)
- Final momentum = mass × final velocity = 0.4 kg × 24 m/s = 9.6 kg·m/s
- \(\Delta p = 9.6 \, \text{kg·m/s} - 0 = 9.6 \, \text{kg·m/s}\)

2. Calculate the average force:
- \[ F = \frac{\Delta p}{\Delta t} = \frac{9.6 \, \text{kg·m/s}}{0.30 \, \text{s}} = 32 \, \text{N} \]

Therefore, the average force exerted on the ball is **32 N**.

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