A solid sphere of mass 2 kg rolls up a 30^(@) incline with an initial speed of 10 ms^(-1). The maximum height reached by the sphere is (g = 10 ms^(-2))
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Mechanical energy is conserved.
u = initial velocity
v = final velocity = 0
h = initial height
d = final height
m = mass
g = 10m/s2
21mu2+mgh=21mv2+mgd
dividing by m on both sides and substituting values,
21×102+10×0=21×02+10d
10d=2100=50
d=1050=5meters
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