Question

Problem (1) (40 points) A pendulum consisting of a ball of mass m and a massless string of length L 5.00 m is released from an angle of a 69 88 shown in the figure and strikes a block of mass M 2m. The block slides a distance D before stopping under the action of a constant friction force with the frio- tion constant μ": 0.50. The ball rebounds to an angle of Hints: Take g= 10 m/?. sin 16" 008 160.96, cos 690.36. 0.28, sin 69" 0.93, For the pendulum: mechanical energy is conserved before and after the collision. For the box(after the collision): work done by friction is equal to the change in the kinetie energy of the box. For the system: momentum is conserved during the col- lision but mechanical energy might or might not be con- served (4) (10 pta.) Find the speed of the ball just before it hits the block. For the ball before the collision, mechanical energy is conserved: Uo t K Us t (b) (10 pts.) Find the radial acceleration of the ball ust after the pendulum hits the block. Ruwdial acceleratlion after olion s OnAcneed to find the speed of the hall after the collision. After the collsion, the mechanical energy is conserved for the bell. Thus:UKncmgL (e) (10 pts.) Find the distance D We need the velocity of the box after the collision. Since the momentum is collision: conserved during the Since the collision happens in 1 dinension M(o)+ Afer the collision, Work-Done by friction force İs equal to the change in the kinetic energy m 2.5m (a) (10 pts) Explain the nature of the collision? (Flastic, lacdastic, Completely Inedastie?). Check the conservation of Energy during collision Since the energy is sot conserved it is an inolastic collision. Since ab jevts do tsot move together nfter the oollision, it is cot a completely inclistic colision.

Answer 1

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