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Problems with solutions

I.D Level Problem Problem Topic
143 High school The potential energy of a 0.20 kg particle moving along the X axis is given by U (x) = 8x^2-2x^4 where U is in joules and x in meters . When the particle is at x = 10m , what will be its acceleration ? . . . continues
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Work,Power & Energy
144 High school A 0.2 kg rubber ball is dropped from the window of the building . It strikes the sidewalk below at 30 m/s and rebounds at 20 m/s . Find the change in momentum of the ball as a result of the collision with the side walk ( in kg m/s ) . . . . continues
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Work,Power & Energy
145 High school A 1.4 kg object moves along the X axis , subject to the potential energy shown in the figure at "click here" . If the object's speed at point B is 2.67 m/s , what are the approximate locations of its turning points ?

m (lefthand turning point)

. . . continues
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Work,Power & Energy
146 High school Imagine that there is a forward who sits in front of the goal crease . The goalie (mass = 77.5 kg ) pushes the forward (mass = 97.2 kg ) away . If the acceleration of the forward is 0.847m/s^2 , find the magnitude of the acceleration of goalie . Explain your reasoning . . . . continues
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Force & Laws of Motion
147 High school Consider a .0750 kg airplane tied to the ceiling with a string . When the airplane's motor is started the plane moves in a horizontal circle radius . 400 m with a constant speed of 1.21m/s . Find the angle the string makes with the vertical and the tension in the string . . . . continues
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Force & Laws of Motion
148 High school If you weigh yourself at the equator you get a smaller value than if you weigh yourself at one of the poles . Explain why ? . (earth rotates so you are moving in a circular path at the equator ) . . . continues
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Force & Laws of Motion
149 High school I was dragging a 45.0 kg box down the driveway and out to the curb for garbage pick-up on Tuesday evening . I was able to pull it on a horizontal surface at a constant velocity . I noticed that I exerted a force of magnitude of 145N directed at an angle of 20.0(DEG) above the horizontal . Determine the coefficient of kinetic friction between the bo . . . continues
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Force & Laws of Motion
150 High school A typical GPS satellite orbits at an altitude of 2.00x 10^7m . Find the orbital period , orbital speed , and the acceleration due to gravity at that altitude . . . . continues
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Force & Laws of Motion
151 High school The other night my wife and I were about ready to push our airplane back into its hanger after an early evening flight . A fueler , who had just refilled our fuel tanks, was going to help guide us as we used a tow-bar to push the plane back . As we were reaching to the tow-bar the fueler asked how we could actually be able push the plane in. He cit . . . continues
Solution:
When we push the plane , the force is being applied on the plane . When the reaction force due to plane acts on us , it is equal and opposite and it acts on a different body ie, us . Since the equal and opposite force are acting on different bodies , They can cause motion in the bodies . Only equal and opposite forces acting on the same body cancel .
Force & Laws of Motion
152 High school A shopper pushes a grocery cart by exerting a force on the handle at a downward angle of 35.0 degrees below the horizontal . The loaded cart has a mass of 28.0 kg and the force of friction is 60.0 N

(a) What force must the shopper exert to move at a constant velocity ?

. . . continues
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Force & Laws of Motion
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