A small mass m slides with negligible friction down an incline at an angle of 25

Question

A small mass m slides with negligible friction down an incline at an angle of 25.76° with respect to the horizontal. It then drops down to a horizontal surface and bounces elastically back up as shown. The picture is to scale. It shows the position of the mass at equal time intervals starting from rest at R. The height of the mass at V is the same as at U. Click here to view the motion of the mass m.

• The size of the total force on m at Q is  greater than less than equal to  at S.
• The size of the total force on m at V is  greater than less than equal to  at X.
• The speed of m at T is  greater than less than equal to  that at V.
• The speed change between R and X is  greater than less than equal to  between X and P.
• The velocity of m at V is  greater than less than equal to  that at U.
• The mechanical energy of m at U is  greater than less than equal to  that at T.

Explanation / Answer

• The size of the total force on m at Q is equal to  at S.
• The size of the total force on m at V is  greater than at X.

• The speed of m at T is less than that at V.

• The speed change between R and X is less than between X and P.
• The velocity of m at V is equal to  that at U.
• The mechanical energy of m at U is equal to  that at T.

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