Please help with the following question: A 6.0 kg block slides along a frictionl

Question

Please help with the following question:
A 6.0 kg block slides along a frictionless horizontal surfaceat a velocity of 7 m/s. After sliding for 2.0 m the blockslides up a slope inclined at an angle of 40 degrees from thehorizontal. How far along the ramp does the block slidebefore reaching zero velocity momentarily?
A 6.0 kg block slides along a frictionless horizontal surfaceat a velocity of 7 m/s. After sliding for 2.0 m the blockslides up a slope inclined at an angle of 40 degrees from thehorizontal. How far along the ramp does the block slidebefore reaching zero velocity momentarily?

Explanation / Answer

    Mass, M = 6 kg     Initial velocity, Vi = 7 m/s     Distance moved along the frictionless horizontalplane, d = 2 m     Angle of inclined plane, = 40o     Motion along horizontal surface:     As the surface is frictionless, the body slideswith a constant velocity.     Velocity at the end of horizontal surface, V = 7m/s     Motion along inclined plane :     Initial velocity, V = 7 m/s     Final velocity, V' = 0 m/s     Acceleration, a = - g sin                            = - 9.8 * sin 40                            = - 6.3 m/s^2     Displacement along the inclined plane, S = ?     V' 2 - V 2 = 2 a S     0 - 7 2 = 2 * - 6.3 * S     Displacement along the inclined plane, S = 3.89m

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