mass m 1 1 m/s 2 mass m 2 2 m/s 2 tension 3 N the acceleration reached by each o
ID: 1753848 • Letter: M
Question
mass m1 1 m/s2 mass m2 2 m/s2 tension 3 N the acceleration reached by each of the two objects shown in figure below if the coefficient of kinetic friction between the 7.00 kg object and the plane is 0.280. 2 An object with mass m1 = 5.00 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 = 8.0 kg, as shown in the figure below. Find the acceleration of each object and the tension in the cable. 11. A boat moves through the water with two forces acting on it. One is a 1500 N forward push by the water on the propeller, and the other is an 1300 N resistive force due to the water around the bow. (a) What is the acceleration of the 1200 kg boat? (b) If it starts from rest, how far will it move in 9.0 s? (c) What will its velocity be at the end of that time? 12. A 2.00 kg aluminum block and a 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 theta = 40.0degree) as shown in the figure below. (a) If the system is released from rest, what will its acceleration be? (b) If the system is set in motion with m2 moving downward, what will be the acceleration of the system? 9. A bag of sugar weighs 3.00 lb on Earth. What would it weigh in newtons on the Moon, where the free - fall acceleration is one - sixth that on Earth? Repeat for Jupiter, where g is 2.64 times that on Earth. Find the mass of the bag of sugar in kilograms at each of the three locations. 10. Two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 440 N and F2 = 396 N. (Assume up and to the right as positive directions.) 5. A 2000 kg car is slowed down uniformly from 22.0 m/s to 9.00 m/s in 5.60 s. (a) What average total force acted on the car during that time? (b) How far did the car travel during that time? 6. In the figure below, m1 = 9.0 kg and m2 = 4.5 kg. The coefficient of static friction between m1 and the horizontal surface is 0.50 while the coefficient of kinetic friction is 0.30. (a) Determine the tension in the string. (b) Determine the acceleration of each object. (c) Determine the distance each object will move in the first second of motion if both objects start from rest. 4. Two packing crates of masses m1 = 10.0 kg and m2 = 6.50 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 6.50 kg crate lies on a smooth incline of angle 41.0degree. Find the acceleration of the 6.50 kg crate. Find the tension in the string. 3. The force exerted by the wind on the sails of a sailboat is 500 N north. The water exerts a force of 200 N east. If the boat (including its crew) has a mass of 280 kg, what are the magnitude and direction of its acceleration? magnitude m/s2 direction north of east 4. A hockey puck is hit on a frozen lake and starts moving with a speed of 13.7 m/s. Five seconds later, its speed is 6.80 m/s. (a) What is its average acceleration? (b) What is the average value of the coefficient of kinetic friction between puck and ice? (c) How far does the puck travel during the 5.00 s interval? 5. Two objects with masses of 4.00 kg and 5.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below.Explanation / Answer
m1 = 7.0 kg W1 = (7.0 kg) (9.80 m /s2) = 68.6N m2 = 12.0 kg W1 = (12.0 kg) (9.80 m /s2) = 118N k = 0.280 = 37o if a is the acceleration we can write Fy = 118 N - T = (12 kg)(a) ...........(1) n = (W1) cos 37o = ........N f = (k) (n) = (0.280) (n) Fx = T - f - (38.6 N)(sin37o) = (7.0kg) a ...........(2) solving (1) (2) you can get the value ofacceleration a
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