A point particle of mass moves along the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals μ. The particle is released, from rest, from point P and it comes to rest at a point R. The energy lost by the ball, over the parts, PQ and PR, of the track, are equal to each other, and no energy is lost when the particle changes direction from PQ to QR. The values of the coefficient of friction μ and the distance x (=QR) are, respectively close to
Diagram showing a particle starting at point P, which is 2m high (h=2m) above the horizontal surface. The particle moves along a rough track PQR. The segment PQ is inclined at 30 degrees to the horizontal. The segment QR is horizontal. The particle comes to rest at R.
(a) 0.29 and 6.5 m
(b) 0.2 and 6.5 m
(c) 0.2 and 3.5 m
(d) 0.29 and 3.5 m