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in Figure 4-20 The top block has a mass of 46 kg, the middle one has a mass of 12 kg, and the bottom one has a mass of 37 kg Identify and calculate any normal forces between the objects
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87 Air Hockey An air-hockey table works by pumping
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air through thousands of tiny holes in a table to support light pucks This allows the pucks to move around on cushions of air with very little resistance One of these pucks has a mass of 025 kg and is pushed along by a 120-N force for 90 s a What is the puck s acceleration b What is the puck s final velocity
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Figure 4-20
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4 Forces in One Dimension For more problems, go to Additional Problems, Appendix B
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at rest on the 64th floor of a building The scale reads 836 N a As the elevator moves up, the scale reading increases to 936 N Find the acceleration of the elevator b As the elevator approaches the 74th floor, the scale reading drops to 782 N What is the acceleration of the elevator c Using your results from parts a and b, explain which change in velocity, starting or stopping, takes the longer time
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weather balloon in Figure 4-22 have a mass of 50 kg The balloon is released and exerts an upward force of 98 N on the instruments a What is the acceleration of the balloon and instruments b After the balloon has accelerated for 100 s, the instruments are released What is the velocity of the instruments at the moment of their release c What net force acts on the instruments after their release d When does the direction of the instruments velocity first become downward
92 Two blocks, one of mass 50 kg and the other of
mass 30 kg, are tied together with a massless rope as in Figure 4-24 This rope is strung over a massless, resistance-free pulley The blocks are released from rest Find the following a the tension in the rope b the acceleration of the blocks Hint: you will need to solve two simultaneous equations
30 kg 98 N 50 kg
Figure 4-24
50 kg
Figure 4-22
Thinking Critically
93 Formulate Models A 20-kg mass, mA, and a 30-kg
mass, mB, are connected to a lightweight cord that passes over a frictionless pulley The pulley only changes the direction of the force exerted by the rope The hanging masses are free to move Choose coordinate systems for the two masses with the positive direction being up for mA and down for mB a Create a pictorial model b Create a physical model with motion and freebody diagrams c What is the acceleration of the smaller mass 93 are now 100 kg and 400 kg Find the acceleration of the larger mass
4 Assessment
90 When a horizontal force of 45 N acts on a block on
a resistance-free surface, it produces an acceleration of 25 m/s2 Suppose a second 40-kg block is dropped onto the first What is the magnitude of the acceleration of the combination if the same force continues to act Assume that the second block does not slide on the first block
91 Two blocks, masses 43 kg and 54 kg, are pushed
across a frictionless surface by a horizontal force of 225 N, as shown in Figure 4-23 a What is the acceleration of the blocks b What is the force of the 43-kg block on the 54-kg block c What is the force of the 54-kg block on the 43-kg block
physicsppcom/chapter_test
94 Use Models Suppose that the masses in problem
95 Infer The force exerted on a 0145-kg baseball by a
bat changes from 00 N to 10 104 N in 00010 s, then drops back to zero in the same amount of time The baseball was going toward the bat at 25 m/s a Draw a graph of force versus time What is the average force exerted on the ball by the bat b What is the acceleration of the ball c What is the final velocity of the ball, assuming that it reverses direction
Writing in Physics
100 Research Newton s contributions to physics and
write a one-page summary Do you think his three laws of motion were his greatest accomplishments Explain why or why not
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