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- A m1 = 1.15-kg aluminum block and a m2 = 8.00-kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle ? = 34.5°) as shown in the figure. (For aluminum on steel,?s = 0.6 and?k = 0.47.For copper on steel,?s = 0.53and ?k = 0.36. (a) the acceleration of the two blocks? (b) the tension in the string?Three objects with masses m1= 2.0 kg, m2= 4.0 kg, and m3= 6.0 kg, respectively, are attached by strings. The coefficient of kinetic friction between the objects and the floor is 0.15. A force of F=100 N is applied horizontally on m1 pulling all the objects to move to the left, what are the tension T1 and acceleration of the system?The masses of the red and blue wagons are 6.09 kg and 2.63 kg, respectively. If the red wagon is pulled by 18.9 N force, the tension (N) in the cable connecting the two wagon of the system is:
- A pickup truck is carrying a 10.0 kgkg toolbox, but the tailgate of the truck is missing, so the box can slide out if it starts moving. The coefficients of static and kinetic friction between the toolbox and the truck bed are 0.34 and 0.15, respectively. Assume that the truck bed is horizontal. What is the shortest time the truck could take to accelerate from rest to 9.60 m/sm/s without causing the toolbox to slide?A m1 = 1.45-kg aluminum block and a m2 = 6.70-kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle θ = 31.5°) as shown in the figure. (For aluminum on steel, μs = 0.61 and μk = 0.47. For copper on steel, μs = 0.53 and μk = 0.36.) (a) the acceleration of the two blocks? (b) the tension in the string?A block of mass m1 = 3.70 kg on a frictionless plane inclinedat angle 30.0= is connected by a cord over a massless,frictionless pulley to a second block of mass m2 2.30 kg ). What are (a) the magnitude of the acceleration of eachblock, (b) the direction of the acceleration of the hanging block,and (c) the tension in the cord?
- A box of mass m1 =10.0 kg rests on a smooth , horizontal floor next to a box m2=5.00 kg if you push on a box 1 with horizontal force of magnitude F = 20.0 N what is the acceleration of the boxes?what is the force of contact between the boxes?An elevator weighing 5.8 KN is ascending with an acceleration of 3m/s2. The operator is standing on a scale inside the elevator and during ascension the scale registers 910 N. What is the true weight of the operator in kg and the tension in the supporting cable?An object of mass m1= 5.0 kg placed on a frictionless, horizontal table is connected to a string thatpasses over a pulley and then is fastened to a hanging object of mass m2 = 9.0 kg as shown in theFigure. Find:(a) The magnitude of the acceleration of the objects and(b) The tension T in the string.
- Two teams of nine members each engage in a tug of war.Each of the first team’s members has an average mass of 68kg and exerts an average force of 1350 N horizontally. Eachof the second team’s members has an average mass of 73 kgand exerts an average force of 1365 N horizontally. (a) Whatis magnitude of the acceleration of the two teams? (b) What isthe tension in the section of rope between the teams?An object with mass m1 = 6.00 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 12.0 kg, as shown in Figure P4.30. Find the acceleration of each object and the tension in the cable. mass m1 m/s2 mass m2 m/s2 tension NTwo blocks each of mass m = 3.50 kg are fastened to the top of an elevator as in Figure P4.56. (a) If the elevator has an upward acceleration a=1.60 m/s2 , find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can elevator have before the upper string breaks?