What will be the change in kinetic energy of a body if velocity is doubled ? Show mathematically .plz help
Answers
Answered by
1
What will happen to the kinetic energy when mass and velocity are doubled?
Answer
89
Follow
Request
More
Ad by Atlassian
Do you use Jira or Confluence in the field of education?
Come to Atlassian Community and you might be inspired. Connect, share, and learn.
Learn More
15 ANSWERS

Richard Lynch, Chemical Engineering student and Composer/Music Theorist.
Answered Nov 16, 2017
Originally Answered: How does the kinetic energy of a body change if its mass is doubled and velocity is doubled?
Let’s have some arbitrary kinetic energy, we’ll call it KE1KE1
KE=12mv2KE=12mv2
Which means.
KE1=12m1v12KE1=12m1v12
Now let’s have some other kinetic energy KE2KE2
KE2=12m2v22KE2=12m2v22
So let’s say that our second one is like our first one, but its mass m2m2 is double the mass of the first state m1m1 and that its speed v2v2 is double the speed of the first state v1v1. If we put that in math instead of words.
m2=2m1m2=2m1
v2=2v1v2=2v1
Make those substitutions.
KE2=12(2m1)(2v1)2=(8)(12m1v12)=8KE1KE2=12(2m1)(2v1)2=(8)(12m1v12)=8KE1
Tada. If you double mass and double velocity, you get eight times the kinetic energy, no matter what your first energy is.
Answer
89
Follow
Request
More
Ad by Atlassian
Do you use Jira or Confluence in the field of education?
Come to Atlassian Community and you might be inspired. Connect, share, and learn.
Learn More
15 ANSWERS

Richard Lynch, Chemical Engineering student and Composer/Music Theorist.
Answered Nov 16, 2017
Originally Answered: How does the kinetic energy of a body change if its mass is doubled and velocity is doubled?
Let’s have some arbitrary kinetic energy, we’ll call it KE1KE1
KE=12mv2KE=12mv2
Which means.
KE1=12m1v12KE1=12m1v12
Now let’s have some other kinetic energy KE2KE2
KE2=12m2v22KE2=12m2v22
So let’s say that our second one is like our first one, but its mass m2m2 is double the mass of the first state m1m1 and that its speed v2v2 is double the speed of the first state v1v1. If we put that in math instead of words.
m2=2m1m2=2m1
v2=2v1v2=2v1
Make those substitutions.
KE2=12(2m1)(2v1)2=(8)(12m1v12)=8KE1KE2=12(2m1)(2v1)2=(8)(12m1v12)=8KE1
Tada. If you double mass and double velocity, you get eight times the kinetic energy, no matter what your first energy is.
Answered by
2
the kinetic energy of a body gets 4 times the initial amount
Attachments:
Similar questions