A block of mass 10 kg is being pulled in a straight line alone the ground by a 60 N force directed 45 degrees above the horizontal. The kinetic coefficient of friction between the ground and the block is µK = 0.20. The box is pulled a distance of 6.0 meters and starts from rest. Find the speed of the box at the 6 meters. Use work-energy theorem.
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Chapter 6: Work and Kinetic Energy:
A block of mass 10 kg is being pulled in a straight line alone the ground by a 60 N force directed 45 degrees above the horizontal. The kinetic coefficient of friction between the ground and the block is µK = 0.20. The box is pulled a distance of 6.0 meters and starts from rest. Find the speed of the box at the 6 meters.
Use work-energy theorem.
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- A grocery cart with a mass of 10 kg is being pushed at constant speed up a 25° ramp by a force Fp which acts parallel to the incline. (Ignore the friction) a. Draw a free-body diagram of the cart showing all the forces acting on it. b. Find the work done by each of the forces (W, Fn, Fp) on the cart if the ramp is 7.5 m long. Hints: The question is very similar to the question of a piano sliding down an incline discussed in class. However, here the object is pushed up the incline. The forces Fn = mgcos(0), and Fp = mgsin(0), so don't spend time getting these using Newton's 2nd law. Also, the weight is W = mg. c. Find the net work done on the cart.Bob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 12.0 N. How much work is done on the box by the normal force, in Joule? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.A skier, starting from rest, coasts down a mountain that makes an angle of 20.0 ° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.167. She coasts for a distance of 13.5 m before coming to the edge of a cliff. Use the Work-Energy theorem to find her speed at the edge of the cliff.
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- A different robot begins pushing a 10kg box that was already moving at 0.5m/s [Right] along a surface with a coefficient of kinetic friction of 0.15. The robot pushes with only 3N [Right] of force. What is the acceleration of the box? Using the Work-Energy theorem, calculate how much work the robot does on the box accelerating it from 0.5m/s [Right] to 2m/s [Right]. What distance did the robot push the box? Use kinematics to check your work.You may have noticed runaway truck lanes while driving in the mountains. These gravel-filled lanes are designed to stop trucks that have lost their brakes on mountain grades. Typically, such a lane is horizontal (if possible) and about 40.0 m long. Think of the ground as exerting a frictional drag force on the truck. A truck enters a typical runaway lane with a speed of 59.0 mph ( 26.4 m/s ). Use the work-energy theorem to find the minimum coefficient of kinetic friction between the truck and the lane to be able to stop the truck.Chapter 6: use the work energy-theorem A block of mass 10 kg is being pulled in a straight line alone the ground by a 60 N force directed 45 degrees above the horizontal. The kinetic coefficient of friction between the ground and the block is µK = 0.20. The box is pulled a distance of 6.0 meters and starts from rest. Find the speed of the box at the 6 meters.
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