An object with mass m₂ = 5.50 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 = 11.2 kg, as shown in the figure Ⓡ (a) Find the magnitude of the acceleration of each object. a₁ = m/s2 m/s² 3₂ = (b) Find the tension in the cable.
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- Two masses m;=7 Kg and m2-13 Kg are connected with string and pulled with a force F=27 N that makes an angle of 53° with a smooth horizontal surface as shown in the figure. Find the tension in the string in a unit of Newton. F m2 m1 0The figure shows a box of dirty money (mass m₁ = 3.5 kg) on a frictionless plane inclined at angle 0₁ = 34°. The box is connected via a cord of negligible mass to a box of laundered money (mass m₂ = 1.6 kg) on a frictionless plane inclined at angle 02 = 68°. The pulley is frictionless and has negligible mass. What is the tension in the cord? Number Units M²1 m2 02/A crate is pushed across a horizontal surface by the applied force shown in the figure. The magnitude of the force F = 24.1 N, 0 = 27.9°, the coefficient of kinetic friction between the block and the surface is 0.4, and M = 2.49 kg, what is the magnitude of the acceleration of the crate in m/s?
- Only two forces act on an object (mass=1.61 kg), as in the drawing. Find (a) the magnitude and (b) the direction (relative to the x axis) of the acceleration of the object. +y 145.0° 60.0 N -- +r 40.0 N (a) Number Units (b) Number UnitsTwo masses (M1 = 7 kg and M2 = 12 kg) are connected by a wire that is wrapped around a cylindrical pulley (M3 = 4 kg, R = 3m). M3 = 4 kg R = 3 m M2 = 12 kg M1 = 7 kg a. Calculate the acceleration of the masses.A gymnast of mass 53.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s for the acceleration of gravity. Calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 0.900 m/s^2. Express your answer in newtons. T= Blank Newtons
- An object weighing 500kg is to be pulled by a man by exerting a force P. Force P is inclined at an angle of 25 deg. measured from the positive axis. The object and the floor has a coefficient of friction: static = 0.35 and dynamic = 0.15. What is the magnitude of the velocity vector of the object after 5 seconds when the magnitude of P is equal to 8,000 N? Express your answer in unit of m/s What is the total distance travelled by the object after 5 seconds when the magnitude of P is equal to 8,000 N? Express your answer in unit of m.A 3 kg body is connected via an inextensible cable to a 1 kg body. A 30 N force at 37 degrees to the horizontal surface is applied at the free end of the 3 kg body and the two bodies begin moving under the effect of the applied force. Find the tension in the rope, in N. Use g =10m/s2, sin 37 = 0.6 and cos 37 = 0.8. Round the answer to the first decimal.You are pushing a metal crate against a metal floor. The two surfaces have a static coefficient of friction of 0.62 and a kinetic coefficient of friction of 0.50. The floor is horizontal, and the crate has a mass of 25.0 kg. What is the minimum force you need to apply to get the crate moving from rest? Give your answer in units of N, to three significant figures.
- If a mass of 3.46 kg object is attached to a string. If the force of tension in the string is 50.2 N j, what is the magnitude of the object's acceleration?You are pushing a wooden crate against a rubber floor. The two surfaces have a static coefficient of friction of 0.45 and a kinetic coefficient of friction of 0.38. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 155 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures.You are pushing a rubber crate against a concrete floor. The two surfaces have a static coefficient of friction of 0.66 and a kinetic coefficient of friction of 0.52. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 85 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures. You are pushing a wooden crate against a rubber floor. The two surfaces have a static coefficient of friction of 0.54 and a kinetic coefficient of friction of 0.42. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 135 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures.