An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Assume that the rope and pulley are massless and that there is no friction in the pulley. If the masses have the values ?1=19.5 kg and ?2=12.5 kg, find the magnitude of their acceleration ? and the tension ? in the rope. Use ?=9.81 m/s2.

A block of mass m1 = 38.4 kg on a horizontal surface is connected to a mass m2 = 15.2 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. Assume that the horizontal surface is smooth.   a) What is the acceleration (in m/s2) of the hanging mass? (Enter the magnitude only.)   b) Determine the tension (in N) in the cord. (Enter the magnitude only.)

A sled of mass 95 kg is being pushed up a slope with an applied force of 937 N. The slope is inclined with an angle of 43 degrees with respect to the horizontal. The coefficient of friction between the sled and the hill is 0.26. Find the acceleration of the crate (in m/s2).

ol nt... 7 2 W S 6. A mass m₁ = 4.80 kg block on a tabletop is attached by a string to a hanging block of mass m₂ = 3.00 kg, as shown in the figure. The coefficient of kinetic friction between the mass (m₁) and the surface is 0.29. The blocks are released from rest and allowed to move freely. Find the magnitude of the tension in the string. N 3 E 80 F3. 4 288 R F % 5 246 T G 6 16 ceil6 ceil6 ceil6 ceil6 cesto co B 21910291999 MacBook Air FO Y & 7 m₂ H U 8 J FB ( 9 M K 16 ceiló cerlo ceiló cel cc116 ceil6 ccilo ceiló ceilo O 4 16. cci P

You are standing on a bathroom scale inside an elevator. Your weight is 144 lb, but the reading of the scale is 112 lb. a. What is the acceleration of the elevator? If the acceleration is in upward direction, enter a positive value and if it is in downward direction, enter a negative value. answer in m/s^2 b. see attached

In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that 8₁ = 35.0°, 0₂ = 55.0°, 03 = 60.0°, m₁ = 3.00 kg, and m₂ = 7.00 kg. (Due to the nature of this problem, do not use rounded intermediate values in your calculations including answers submitted in WebAssign.) (a) (b) T₁ T₂ = LN LM T3 NY M = T₁ = T₂ = = T3 = T₁ M₂ 0₁ T₁ 03 T3 z z N N N T2 N N z z N Ts 0₂ T2 m₁ Ⓡ

A block is placed on a inclined plane. The acceleration of gravity is 9.8 m/s2. 19° F 5 kg H=0.11 24° What force is required to push the block up the incline with constant velocity? Answer in units of N.

A 2140 kg car traveling to the west at 17.1 m/s slows down uniformly. How long would it take the car to come to a stop if the force on the car is 8560 N to the east? Let East be positive.Answer in units of s. What is the car’s displacement during the time it takes to stop?Answer in units of m.

Only two forces act on an object (mass = 7.91 kg), as in the drawing. Find the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the object. +y 60.0 N 40.0 N +x

In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that 0₁ = 36.0°, 0₂ = 54.0°, 03 = 60.0°, m₁ = 6.00 kg, and m₂ = 9.00 kg. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) (b) T₁ = T₂ = T3 = T₁ T₂ = T3 = T₁ m₂ 0₁ T₁ 03 Ts N N N zzz N N N 22 T3 8₂ T₂ m₂ i