question archive Ferb rolls a bowling ball down a ramp
Ferb rolls a bowling ball down a ramp
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Ferb rolls a bowling ball down a ramp. There is no friction on this ramp. At a point halfway down the ramp, the bowling ball's kinetic energy is ____________.
a)less than its potential energy at this same point.
b) greater than its potential energy at this same point.
c) the same as its potential energy at this same point.
d) impossible to compare with PE at the same point because we don't know the mass of the ball.
e) impossible to compare with PE at the same point because we don't know the length of the ramp.
f.)Both (d) and (e).
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C
Step-by-step explanation
c. the same as its potential energy at this same point.
Since the formula for potential energy is PE =mgh
And the formula for KE =1/2mV²
Let us prove that PE and KE are equal at the halfway point.
Using Vf²-Vo²=2gh
If h=1/2 and Vo=0
Vf²=2(g)(1/2)
Vf²=g
Using KE=1/2mv²
KE=1/2m(g)
KE=1/2mg
And PE=mgh but h=1/2
PE=mg(1/2)
PE=1/2mg
Therefore we conclude that PE and KE have the same value on the halfway point
