How Much Mechanical Energy Is Lost Due To Friction?
Can someone answer this for me? Im studying for a test and im not sure how to do it. My book sucks and isnt very good at explainging things.
A 69.0 kg base runner begins his slide into second base when he is moving at a speed of 4.1 m/s. The coefficient of friction between his clothes and Earth is 0.70. He slides so that his speed is zero just as he reaches the base.
(a) How much mechanical energy is lost due to friction acting on the runner?
J
(b) How far does he slide?
2 Responses to “How Much Mechanical Energy Is Lost Due To Friction?”
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yeps that’s right.
a) Ei – Ef = W
mv^2/2 – m(0)^2/2 = W
69.0 * 4.1^2 / 2 = W
W = 579.9J lost
b) Friction force = N*u = 69.0 * 9.8 * 0.70 = m*a = 69.0 * a
a = 6.86m/s^2
so with decceleration above we can do
v^2 = v0^2 + 2ax
0 = 4.1^2 + 2(-6.86)x
x = 1.23meters