1. in a tug of war two boys pull on opposite ends of a rope and each exerts a force of 100N(22.5lb-wt). (a)what horizontal forces act on each boy?(b)what horizontal forces act on the rope?(c)which of the above forces are action-reaction pairs?
2. A piece cut from the rope in problem 1 is hung vertically and made to support an increasing weight until it breaks. if the rope breaks when the mass tied to the end is 20kg or greater, what is the breaking strength of the rope in newtons? will the boys in the problem 1 break the rope?
3. Suppose that in a tug of war the mass of each boy is 50kg and that of the rope is 5kg. Now suppose that the one boy(Bill) increases his pull to 110N, while the other boy(Steve) continues to exert a pull of 100n on his end. (a)Find the acceleration of the system. (b)what horizontal forces act on each boy? (c)At the midpoint of the rope what is the tension or force of interaction between one half of the ope and the other half?
4. A Skier climbs up a slope then glides down it. (a)When is the Frictional force of the snow on the skier directed up the slope and when is it directed down? (b)When is the frictional force on the skier in the direction in which he is going, and when is it in the direction opposite to his motion? (c)Must the frictional force be greater when going up or when going down and why?
5. Objects whoses masses are 300 gm and 200 gm, respectively, are attached to opposite ends of a light string passing over a light frictionless pulley. Find (a) the acceleration of the system and (b) the tension in the string.
6. In the problem 5 let the 200-gm object be replaced by a monkey whose mass is 300 gm. show that if the monkey and counterweight are originally at rest and the monkey starts to climb, then the counterweight will rise at the same rate as the monkey.
7. Suppose that three blocks, each with a mass of 1kg, are connected by light strings and rest on a rough table, the frictional drag on each block being 2N. Find the acceleration of the block and the tension in the strings connecting them together if an external horizontal pull of 9.8N is applied to the first block.
8. Suppose that the first block in problem 7 is connected by a light string passing over a pulley to a hanging block of 1kg mass. (a) Find the acceleration of the system and the tension in each connecting string. (b)Explain why this problem differs from the previous one even though the weight of the hanging block is 9.8N
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