A block of mass m slides along a horizontal frictionless surface with an initial speed vo. After sliding a distance 2.0m along the surface, the block encounters a frictionless ramp inclined at angle to the horizontal. The block slides a distance d along the ramp before momentarily coming to rest. (A) Draw a diagram which shows the block with initial speed along the surface and then sliding distance d up the surface of the ramp. Include the direction of the velocity of the block and show the direction of any forces acting on the block at these two stages in the experiment. (B) Starting with relevant equations for kinetic, potential energy, and/or work, develop a relationship for the distance traveled d along the inclined ramp in terms of initial speed vo, gravity g, and ramp angle. Show that the relationship is independent of the mass of the block m. (C) Find distance d traveled up the ramp if the mass of the block is 3.0kg, the initial speed of the block on the horizontal surface is 7.0m/s, and the angle of the ramp is 40⁰.
A block of mass m slides along a horizontal frictionless surface with an initial speed vo. After sliding a distance 2.0m along the surface, the block encounters a frictionless ramp inclined at angle to the horizontal. The block slides a distance d along the ramp before momentarily coming to rest. (A) Draw a diagram which shows the block with initial speed along the surface and then sliding distance d up the surface of the ramp. Include the direction of the velocity of the block and show the direction of any forces acting on the block at these two stages in the experiment. (B) Starting with relevant equations for kinetic, potential energy, and/or work, develop a relationship for the distance traveled d along the inclined ramp in terms of initial speed vo, gravity g, and ramp angle. Show that the relationship is independent of the mass of the block m. (C) Find distance d traveled up the ramp if the mass of the block is 3.0kg, the initial speed of the block on the horizontal surface is 7.0m/s, and the angle of the ramp is 40⁰.
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