bullet of mass "m1" traveling horizontally with speed u hits a block of mass "m2" that is originally at rest and becomes embedded in the block. After the collision, the block slides horizontally a distance "d" on a surface with friction, and then falls off the surface at a height "h" as shown in the figure. The coefficient of kinetic friction between the block and the surface is "µk". Assume the collision is nearly instantaneous and all distances are large compared to the size of the block. Neglect air resistance.
A bullet of mass "m1" traveling horizontally with speed u hits a block of mass "m2" that is originally at rest and becomes embedded in the block. After the collision, the block slides horizontally a distance "d" on a surface with friction, and then falls off the surface at a height "h" as shown in the figure. The coefficient of kinetic friction between the block and the surface is "µk". Assume the collision is nearly instantaneous and all distances are large compared to the size of the block. Neglect air resistance. (a) What is "uo", the minimum speed of the bullet so that the block falls off the surface? Express your answer in terms of some or all of the following: m1, m2, µk, d, h and g for the gravitational constant. (b) Assume that the initial speed of the bullet u is large enough for the block to fall off the surface. Calculate "xf", the position where the block hits the ground measured from the bottom edge of the surface. Express your answer in terms of some or all of the following: m1, m2, µk, u, d, h and g.
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