Physics.i.practice.problems.set.2.1

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CONTACT NUMBER: (786)556-4839 PRACTICE PROBLEMS SET 2.1

1. A child does 350 J of work while pulling a box from the ground up to his tree house with a rope. The tree house is 6.9 m above the ground. What is the mass of the box?

4.7 kg 3.1 kg 5.2 kg 5.2 kga b c d


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2. A futuristic design for a car is to have disk-like flywheel within the car storing kinetic energy. The flywheel has mass 370 kg with a radius of 0.50 m and can rotate up to 340 rev/s. Assuming all of this stored kinetic energy could be transferred to the linear velocity of the 3200-kg car, find the maximum attainable speed of the car.


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3. A pitcher is employing a ballistic pendulum to determine the speed of his fastball. A 5.3 kg lump of clay is suspended from a cord 2.0 m long. When the pitcher throws his fastball aimed at the clay, the ball becomes embedded in the clay and the two swing up to a maximum height of 0.10 m. If the mass of the baseball is 0.21 kg, use conservation of momentum and energy to find the speed of the pitch.


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4. A 12.0-g rifle bullet is fired with a speed of 762 m/s into a ballistic pendulum with mass 6.00 kg, suspended from a cord 70.0 cm long. Compute the vertical height through which the pendulum rises; the initial kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum.


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5. A rifle bullet with mass 8.00 g strikes and embeds itself in a block with mass 0.992 kg that rests on a frictionless, horizontal surface and is attached to a coil spring. The impact compresses the spring 15.0 cm. Calibration of the spring shows that a force of 0.750 N is required to compress the spring 0.250 cm. Find the magnitude of the block’s velocity just after impact. What was the initial speed of the bullet?


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6. A 5.00-g bullet is shot through a 1.00-kg block suspended on a string 2.000 m long. The center of mass of the block rises a distance of 0.45 cm. Find the speed of the bullet as it emerges from the block if its initial speed is 450 m/s.


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7. A 5.00-g bullet is fired horizontally into a 1.20 kg wooden block resting on a horizontal surface. The coefficient of friction between the surface and the block is 0.200. The bullet remains embedded in the block, which is observed to slide 0.230 m along the surface before stopping. What was the initial speed of the bullet?


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8. You have just landed on Planet Y where the acceleration due to gravity is different from Earth. You take out a basketball that weights 14.7 N on the surface of Earth, release from rest form a height of 10.0 m, and measure that it takes 2.6 s to reach the ground. How much does the ball weigh on the surface of Planet Y?


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9. A force in the +y direction applied at the point gives rise to a torque of 56 N m about the origin. Find the magnitude of the force.

40 N 56 N 67 N 24 Na b c d


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10. A wheel accelerates from rest to 59 rad/s at a rate of 24 rad . Through what angle (in radians) did the wheel turn while accelerating?

59 rad 146 rad 73 rad 92 rada b c d


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11. In a shuffleboard game, the puck slides a total of 12 m before coming to rest. If the coefficient of kinetic friction between the puck and board is 0.25, what was the initial speed of the puck?

6.9 m/s 30.7 m/s 7.7 m/s 6.2 m/sa b c d


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12. Two paint buckets of mass 12.0 kg and 4.0 kg are connected by a lightweight rope passing over a pulley of negligible mass and friction. The system is released from rest with the 12.0 kg bucket 2.00 m above the floor. Use energy conservation to find the speed with which this bucket strikes the floor.

2.00 m

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