Two masses as shown in the figure are suspended from a massless pulley. The acceleration of the system when masses are left free is (a) (c) 2g 3 8 9 (b) (d) 503 8 D 7 5g 10g
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- A light, inextensible cord passes over a light, frictionless pulley with a radius of 11 cm. It has a(n) 23 kg mass on the left and a(n) 4 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 3.7 m apart. The acceleration of gravity is 9.8 m/s2 . At what rate are the two masses accelerat- ing when they pass each other? Answer in units of m/s2.Kramer goes bowling and decides to employ the force of gravity to "pick up a spare." He rolls the 6.50 kg bowling ball very slowly so that it comes to rest a center-to-center distance of 0.245 m from the one remaining 2.00 kg bowling pin. Treat both the ball and the pin as point objects, and determine the magnitude of the force of gravity ?⃗ grav between them.4. A fisherman in a boat catches a shark with a harpoon. The shark struggles for a while and then becomes limp when at a distance of 300 m from the boat. The fisherman pulls the shark all the way to the boat by the rope attached to the harpoon. During this operation, the boat (initially at rest) moves 45 m in the direction of the shark. The mass of the boat is 5400 kg. What is the mass of the shark? Pretend that the water exerts no friction. (Hint: Friction is ignored, so there are no external forces, and the center of mass of the system (the shark and boat) should not move at all.) A) 953 kg B) 477 kg C) 318 kg from the left and of
- Two objects shown and labelled in the figure are connected by a non-elastic chord over a frictionless pulley and the surface is also frictionless. The objects are released from rest and move 1.0 m in 2.0 s. What is the value of mass for the falling object, M, in kg? 3.0 kg M O 0.34 kg 0.68 kg O0.44 kg O 0.091 kgAn astronaut is a short distance from her space station without a tether rope or jet pack. She does have a large wrench. To move herself toward the space station she could, a) throw the wrench directly toward the station, b) throw the wrench parallel to the orbit of the station, c) throw the wrench away from the station or d) throw the wrench toward the space station without letting go of it.A 686 N park ranger uses a basket and a rope-pulley system to transport an injured sea turtle up to a plateau, as shown in the figure. The sea turtle and basket together have a mass of 50.0 kg. The ranger holds firmly onto the rope and walks away from the cliff, speeding up at a steady rate of 0.300 m/2 2. He thereby causes the basket (and the turtle) to accelerate straight upwards at the same rate. Assume that the rope has negligible weight and that the pulley is ideal, having no friction in its bearing. Also assume that as the ranger trudges along, his feet do not slip on the ground. +x 26. The tension in the rope is equal to A. 490 N. B. 686 N. C. 475 N. D. 505 N. E. 196 N. 27. The frictional force which the ground exerts on the ranger's feet has a magnitude of C. 526 N. A. 490 N. B. 511 N. D. 196 N. E. 707 N.
- A stationary 2.17-kg object is struck by a stick. The object experiences a horizontal force given by F = at - bt 2, where t is the time in seconds from the instant the stick first contacts the object. If a = 1,500,000 N/s and b = 20,000,000 N/s?, what is the speed of the object just after it comes away from the stick at t = 2.55 x 103 s? %3DMatch the graph shown below with the correct set of m, b and r. 2.5 2 2 1.5 0.5 0.05 0.1 0.15 0.2 mass (kg) m 0.80 s/kg b = 1.2 s r= 0.852 m = 8.0 s/kg b 1.2 s r= 0.995 3. 1.The two masses shown in Fig. are connected by a light inextensible cord that passes over a homogeneous 4-kg cylinder having a diameter of 1200 mm. How long will it take the 7-kg mass to move from rest to a speed of 2 m/s?. 5 kg 7 kg
- 3. Two masses are attached to a uniform meter stick as shown in the figure below. The masses of m1 and m2 are as given and the meter stick weighs 150 g. A force F with unknown magnitude is applied on one end of the stick at an angle of 30° to balance the system. 30 cm 40 cm 30 cm 30 m2 75 g 50 g (a) What is the magnitude of F? (Ans: 6.21 N) (b) What are the reaction forces on the support? (Ans: R, = 5.38 N; R, = 5.80 N) %3D5. A light plane of mass 1200 kg makes an emergency landing on a short runway. With itsengine off, it lands on the runway at a speed of 35 m/s. A hook on the plane snags acable attached to a 130 kg sandbag and drags the sandbag along. Now you can consider thesystem as a combined mass along with the sandbag and the plane.Now, the coefficient of friction between the sandbag and the runway is μk = 0.4, and also theplane’s brakes give an additional retarding force of magnitude 1400 N. So our target for thisproblem is to find how far does the plane go before it comes to stop.Assume, when the plane snags the sandbag, the collision is instantaneous.[Hints Think carefully whether you can apply conservation of momentum or not] Find how far the plane goes before it comes to stop.A block of mass 2 kg and one of mass 5 kg are connected by a massless string over a pul- ley that is in the shape of a disk having a radius of 0.25 m, and a mass of 5 kg. In ad- dition, the blocks are allowed to move on a fixed block-wedge of angle 48°, as shown. The coefficient of kinetic friction is 0.18 for both blocks. 2 kg 0.25 m 5 kg 5 kg 48° Determine the tension in the horizontal part of the string. The acceleration of gravity is 9.8 m/s². Assume the positive direction is to the right. Answer in units of N.