Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

Answers without the blur.

Just sign up for free and you're in.

Short Answer

An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350.
(a) What is his deceleration?
(b) How long does the collision last?

a) -80.36 m/s²

b) 0.0933 s

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Given Data

The initial velocity of the football, U = 7.50 m/s.
The final velocity of the football, V = 0 m/s.
The distance traveled in compressing the padding, D = 0.350 m.

Deceleration and time period

a) The deceleration of the football can be calculated using the equation as:

$V^{2} - U^{2} = 2 a d$ Here V is the final velocity, U is the initial velocity, a is the acceleration, and d is the distance traveled.

Substituting values in the above expression, we get,

$(0)^{2} - (7.5)^{2} = 2 \times (0.35) \times a - 56.25 = 2 \times (0.35) \times a a = \frac{- 56.25}{2 \times (0.35)} a = - 80.357 {m/s}^{2}$

The deceleration of the football is -80.357 m/s².

b) The time required can be calculated as:

V = U + at

Here V is the final velocity, U is the initial velocity, a is the acceleration, and t is the time.

Substituting values in the above expression, we get,

$0 = 7.5 + (- 80.36) \times t t = \frac{7.5}{80.36} t = 0.0933 s$

Hence the time period is 0.0933 s.

Find Study Materials for

Create Study Materials

Select your language

College Physics (Urone)

Answers without the blur.

Short Answer

An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350.
(a) What is his deceleration?
(b) How long does the collision last?

Step by Step Solution

Given Data

Deceleration and time period

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

College Physics (Urone)

Answers without the blur.

Short Answer

An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350. (a) What is his deceleration? (b) How long does the collision last?

Step by Step Solution

Given Data

Deceleration and time period

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics

An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350.
(a) What is his deceleration?
(b) How long does the collision last?