hw10 - straight horizontal section and a quarter-circle...

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Homework No. 10 Combination problems CHANG 1 Block B (mass m B ) is pressed against a linear spring ( k = 1600 N/m) that is attached to block A (mass m A B B A ) as shown. Both blocks are held at rest initially while the spring is compressed by an amount of 0.3 m. The horizontal tabletop is frictionless. If the velocities of the two blocks after they are separated are υ A = 1.2 m/s and υ B B = 4.8 m/s , find the masses of the blocks. Ans : m A = 20 Kg, m B = 5 Kg B 8.80 Ans : 65.5 m/s CHANG 2 An 80g bullet with velocity 500 m/s is fired at the stationary 4 Kg block. The bullet emerges from the block with a reduced exit velocity and the impact sends the block sliding up the incline. The block eventually stops at the top of the ramp as shown. If the coefficient of friction is μ k = 0.2 between the block and the surface, find the exit velocity of the bullet. Use cos36.87 ˚ = 0.8 and sin36.87 ˚ = 0.6. 36.87° μ k 5 m 2 m k Ans : 46.3 m/s 8.79 Ans : 68.8 ° CHANG 3 The frictionless track is made of a
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Unformatted text preview: straight horizontal section and a quarter-circle with radius R = 5 m. A 1 Kg lump of putty is thrown toward the stationary 4 Kg block, and the block starts to slide with the putty stuck on it after the collision. If the normal force acting on the block/putty from the track is 98 N at point B , find the initial speed υ of the putty. A B R R υ Ans : 70 m/s O R A B 1 2 R C θ CHANG 4 The frictionless track is made of a vertical section of length R , a quarter-circle with radius R , and a horizontal piece as shown. Released from rest at the top of the track (point A ), the smaller block 1 ( m 1 = M ) slides down and makes an elastic collision with the stationary larger block 2 ( m 2 = 3 M ) at the bottom of the track (point B ). As the smaller block slides back up along the track after the collision, it reaches the highest point C . Find the angle θ that locates point C on the track. Ans : 60 ˚...
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This note was uploaded on 03/05/2009 for the course PHYS 2305 taught by Professor Tschang during the Fall '08 term at Virginia Tech.

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hw10 - straight horizontal section and a quarter-circle...

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