# physics

You throw a ball with a mass of 182.2 g, with a speed of 4.6 m/s. Calculate the kinetic energy in Joules to 3 s.f. ,

and what is the uncertainty C=1 (Unsure: <67%) C=2 (Mid: >67%) C=3 (Quite sure: >80%)?

1. 👍 0
2. 👎 0
3. 👁 37
1. KE=(1/2)mv²
=(1/2)*0.1822*4.6²
=1.9276
=1.93 (3 significant figures)

To calculate the uncertainty,
we do a partial differentiation with respect to m and v, and multiply by the maximum errors of δm=0.00005kg and δv=0.05 m/s.
δKE=(1/2)v²δm+mvδv
=(1/2)4.6²*0.00005+0.1822*4.6*0.05
=0.042 joules
or
Kinetic energy = 1.928±0.042 J

Therefore the third figure of the above answer is not reliable (as expected).
Don't know what it means by the uncertainty percentage.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

When baseball players throw the ball in from the outfield, they sometimes allow it to take one bounce before it reaches the infield on the theory that the ball arrives sooner that way. Suppose the angle at which a bounced ball

asked by lib on September 19, 2012
2. ### Physics

It’s a beautiful winter day, and you and your friend are throwing around a 5 kg medicine ball on a very slippery frozen lake. You throw the ball toward your friend, and notice that you subsequently slide backwards with a speed

asked by Aaron on February 13, 2012
3. ### Physics

If I take a glob of mud and throw it against a wall with the speed of V and stops in time T and than I take a ball and throw it and it hits the wall with speed V and leaves the wall a time T later at a speed of 0.5V and they both

asked by Allen on October 3, 2010
4. ### Dr. Bob can you look at this

If I take a glob of mud and throw it against a wall with the speed of V and stops in time T and than I take a ball and throw it and it hits the wall with speed V and leaves the wall a time T later at a speed of 0.5V and they both

asked by Allen on October 3, 2010
5. ### Physics for Life science

You are on a skateboard of mass 5.00kg with a ball in hands (mass of the ball is 600kg). You throw the ball forward horizontally and find that you recoil back with 2.0m/s. What is the forward speed of the ball? (Use your own mass

asked by TangenT on June 1, 2010
6. ### Physics

If you can throw a ball vertically upward to a height h = 30.5 m, what is the maximum horizontal range over which you can throw the same ball, assuming you throw it at the same initial speed?

asked by Katie on February 8, 2010
7. ### Physics

If you can throw a ball vertically upward to a height h = 30.1 m, what is the maximum horizontal range over which you can throw the same ball, assuming you throw it at the same initial speed

asked by Emily on September 12, 2010
8. ### physics

If you can throw a ball vertically upward to a height h = 19.7 m, what is the maximum horizontal range over which you can throw the same ball, assuming you throw it at the same initial speed?

asked by Michael on September 19, 2013
9. ### urgent physics..

Adventurous Mary tries a new game: she puts on her rollerblades and throws the ball towards the wall, lets it bounce off, catches it again, throws it right back, and so on. She notices a strange thing: after the second throw, she

asked by jack on June 18, 2013
10. ### Physics

If I take a glob of mud and throw it against a wall with the speed of V and stops in time T and than I take a ball and throw it and it hits the wall with speed V and leaves the wall a time T later at a speed of 0.5V and they both

asked by Allen on October 3, 2010

More Similar Questions