A ball of mass 5 kg dropped from a five meter height on a smooth floor. If the coefficient of restitution between the ball and the floor is 0.6. The following is required; Using Newton’s equations of motion for constant acceleration determine the velocity of the ball on hitting the floor Using conservation of mechanical energy determine the rebound velocity,  The maximum height it rises after it bounces off the floor,

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

A ball of mass 5 kg dropped from a five meter height on a smooth floor. If the coefficient of restitution between the ball and the floor is 0.6. The following is required;
Using Newton’s equations of motion for constant acceleration determine the velocity of the ball on hitting the floor
Using conservation of mechanical energy determine the rebound velocity, 
The maximum height it rises after it bounces off the floor, 
The impulse exerted by the floor on the ball, 
The dissipated energy. 
If the time of impact is 10-5 seconds, determine the magnitude of the impulsive force exerted on the ball by the floor during impact. 

Expert Solution
Step 1

Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Step 2

The height of the ball from the ground is given as,

Mechanical Engineering homework question answer, step 2, image 1

The initial velocity of the ball is given as,

Mechanical Engineering homework question answer, step 2, image 2

The acceleration is given as,

Mechanical Engineering homework question answer, step 2, image 3

The velocity of the ball on hitting the floor is calculated by using Newton’s equation of motion,

Mechanical Engineering homework question answer, step 2, image 4

The velocity of the ball on hitting the floor is 9.905 m/s.

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Knowledge Booster
Strain Energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY