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23.A 5.0-kg bucket of water is raised from awell by a rope. If the upward acceleration of the bucket is3.0 m/s2, find the force exerted by the rope on the bucket.24.A shopper in a supermarket pushes a loaded cart with a hor-izontal force of 10 N. The cart has a mass of 30 kg. (a) Howfar will it move in 3.0 s, starting from rest? (Ignore friction.)(b) How far will it move in 3.0 s if the shopper places his30-N child in the cart before he begins to push it?25.A 2 000-kg car is slowed down uniformly from 20.0 m/s to5.00 m/s in 4.00 s. (a) What average force acted on thecar during that time, and (b) how far did the car travelduring that time?26.Two packing crates of masses 10.0 kg and 5.00 kg are con-nected by a light string that passes over a frictionless pul-ley as in Figure P4.26. The 5.00-kg crate lies on a smoothincline of angle 40.0 . Find the acceleration of the 5.00-kgcrate and the tension in the string.28.An object of mass 2.0 kg starts from rest and slides downan inclined plane 80 cm long in 0.50 s. What net forceisacting on the object along the incline?29.A 40.0-kg wagon is towed up a hill inclined at 18.5withrespect to the horizontal. The tow rope is parallel to theincline and has a tension of 140 N. Assume that thewagon starts from rest at the bottom of the hill, andneglect friction. How fast is the wagon going after moving80.0 m up the hill?30.An object with mass m15.00 kg rests on a frictionlesshorizontal table and is connected to a cable that passesover a pulley and is then fastened to a hanging object withmass m210.0 kg, as shown in Figure P4.30. Find the ac-celeration of each object and the tension in the cable.27.Assume that the three blocks portrayed in Figure P4.27move on a frictionless surface and that a 42-N force actsas shown on the 3.0-kg block. Determine (a) the accel-eration given this system, (b) the tension in the cordconnecting the 3.0-kg and the 1.0-kg blocks, and (c) theforce exerted by the 1.0-kg block on the 2.0-kg block.31.A train has a mass of 5.22106kg and is moving at90.0 km/h. The engineer applies the brakes, resulting ina net backward force of 1.87106N on the train. Thebrakes are held on for 30.0 s. (a) What is the final speedof the train? (b) How far does the train travel during thisperiod?32.(a) An elevator of mass mmoving upward has two forcesacting on it: the upward force of tension in the cable andthe downward force due to gravity. When the elevator isaccelerating upward, which is greater, Tor w? (b) Whenthe elevator is moving at a constant velocity upward,which is greater, Tor w? (c) When the elevator is movingupward, but the acceleration is downward, whichis greater, Tor w? (d) Let the elevator have a mass of 1 500 kg and an upward acceleration of 2.5 m/s2. Find T.Is your answer consistent with the answer to part (a)? (e)The elevator of part (d) now moves with a constant up-ward velocity of 10 m/s. Find T. Is your answer consistentwith your answer to part (b)? (f) Having initially movedupward with a constant velocity, the elevator begins to ac-celerate downward at 1.50 m/s2. Find T. Is your answerconsistent with your answer to part (c)?