An object is released from rest at the top of a ramp. If the ramp is frictionless, does the object’s speed at the bottom of the ramp depend on the shape of the ramp or just on its height? Explain. What if the ramp is? ot? frictionless?

Solution 3DQ Let us have a look at the following figure to understand the situation better. When the ramp is frictionless, the downward component of acceleration is gsin x. Let h be the height of the ramp. S be the distance moved by the object down the ramp. Therefore, from the equation of motion v = u + 2aS v = 2gsin x.S …..(1)(since u=0) Now, from the figure, sinx = h/S h = Ssin x Substituting this value in equation 1, v = 2gh v = 2gh Therefore, the...