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Published byDallas Arnett Modified about 1 year ago

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A pendulum consisting of a ball of mass m is released from the position shown and strikes a block of mass M. The block slides a distance D before stopping under the action of steady friction force of 0.2 Mg. m M L 37

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What is the speed of the pendulum ball just before it strikes the block? If the pendulum ball rebounds to an angle of 20 , what is the speed of the ball after the collision? What is the speed of the block after the collision? How far does the block move before coming to a stop?

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A 26 kg boy is standing at rest on a 4 kg skateboard at the bottom of a frictionless hill as shown. A 5 kg ball comes at him with a horizontal velocity of 10 m/s to the right and he catches the ball and remains on the skateboard.

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What is the speed of the boy the moment after he catches the ball? How high up the hill does the boy coast if he momentarily comes to a rest. After momentarily coming to rest, he begins to slide down the hill which is tilted with respect to the horizontal at an angle of 10 . If the coefficient of kinetic friction is 0.1, what is his acceleration?

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A 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, as shown above, when it collides with a second cart of undetermined mass m that is initially at rest. The force F of the collision as a function of time t is shown in the graph below, where t = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 1.6 m/s to the right. Assume that friction is negligible before, during, and after the collision.

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(a) Calculate the magnitude and direction of the velocity of the 2.0 kg cart after the collision. (b) Calculate the mass m of the second cart.

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After the collision, the second cart eventually experiences a ramp, which it traverses with no frictional losses. The graph below shows the speed v of the second cart as a function of time t for the next 5.0 s, where t = 0 is the instant at which the carts separate.

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(c) Calculate the acceleration of the cart at t = 3.0 s. (d) Calculate the distance traveled by the second cart during the 5.0 s interval after the collision (0 s < t < 5.0 s).

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(e) State whether the ramp goes up or down and calculate the maximum elevation (above or below the initial height) reached by the second cart on the ramp during the 5.0 s interval after the collision (0 s < t < 5.0 s).

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An 80 ‑ kilogram person standing on a 20 ‑ kilogram platform suspended by a rope passing over a stationary pulley that is free to rotate. The other end of the rope is held by the person. The masses of the rope and pulley are negligible. You may use g = 10 m/ s 2. Assume that friction is negligible, and the parts of the rope shown remain vertical. a.If the platform and the person are at rest, what is the tension in the rope?

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The person now pulls on the rope so that the acceleration of the person and the platform is 2 m/s 2 upward. b. What is the tension in the rope under these new conditions? c. Under these conditions, what is the force exerted by the platform on the person?

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