In: Physics
In a ramp, when the ball is rolling down, workdone by gravity = potential energy difference between point A and B
workdone = ( m g h ) ..................(1)
If workdone = force distance = F AC ................(2)
if force F = mass acceleration = m a and AC = h/sin
By equating (1) and (2), we have, F AC = m a ( h/sin ) = m g h ............(3)
Hence we get from above equation, acceleration a = g sin