The puck in the figure below has a mass of 0.140 kg. Its original distance from the center of rotation is 40.0 cm, and it moves with a speed of 80.0 cm/s. The string is pulled downward 15.0 cm through the hole in the frictionless table. Determine the work done on the puck. (Hint: Consider the change of kinetic energy of the puck.)
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- A knight has an idea to break into a fortress by knocking a wall down with a rolling boulder. The plan is to roll the boulder from the top of a hill to hit the wall at the bottom of the hill. The boulder will need to have a speed of 15.0 m/s to break the wall. What is the minimum height the hill can have for the knight's plan to succeed? Assume the hill is frictionless and that the numerical answer you give is in meters.A lump of putty (0.20 kg) hits a block (1.00 kg) at the bottom of a rough vertical loop that is 1.0 m in radius. After the collision, the putty/block combination slides through the loop. At the top of the loop, the combination has an apparent weight of 5.88 N. The coefficients of kinetic & static friction between the block and loop are 0.23 & 0.37 respectively and the work due to friction during the combination’s ascent is -17.34 J. Determine the speed of the putty/block combination at the top of the loop. Determine the speed of the combination at the bottom of the loop. Assuming that friction is much less than impact force, what was the speed the putty before the collision?A box of mass 25.0 [kg] slides down from the top of a surface inclined at 50.0◦ with height of 10.0 [m], as shown in the figure. The coefficient of kinetic friction between the box and the inclined surface is µk = 0.350. When the box reaches the bottom of the incline, what is the work done by the weight of the box?
- When a father takes his daughter out for a spin in a stroller, he exerts a force F>with a magnitude of 44.0 N at an angleof 32.0° below the horizontal, as shown in the sketch. The stroller and child together have a mass m = 22.7 kg. (a) Howmuch work does the father do on the stroller when he pushes it through a horizontal distance d = 1.13 m? (b) If theinitial speed of the stroller is vi = 1.37 m>s, what is its final speed? (Assume the stroller rolls with negligible friction.)A Ferris wheel is a vertical, circular amusement ride with radius, R = 5 m. Riders sit on seats that swivel to remain horizontal. The Ferris wheel rotates so that riders move at a constant speed, v = 5 m/s. Consider a rider whose mass, m = 70 kg. Assume that the acceleration due to gravity, g = 10 m/s₂. H B * L. How much work does the force exerted by the seat do on the rider as they move from point E to point ? O None of these, because the rider's speed does not change O 3500) O-3501 O-3500Needs Complete typed solution with 100 % accuracy.
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- A block of mass m = 3.1 kg is placed on a rough incline surface making an angle e = 13.5. with horizontal. A force F parallel to the ground is applied to the block. Due to the applied force the block moved x = 1.2 meter along the inclined surface with constant speed. If the inclined surface has kinetic friction coeficient µk = 0.29 what is the work done by the applied force? Provide your answer with 2 decimal places. Take g = 9.81 m/s² mConsider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. How much work in joules does she do if her center of mass rises 0.27 m? b. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.A trunk of mass m = 2.0 kg is pushed a distance d = 158 cm up an incline with an angle of inclination theta = 21.0° by a constant horizontal force P = 350 N (see figure). The coefficient of kinetic friction between the trunk and the incline is 0.14. P. 0 Calculate the work done on the trunk by the applied force P. ? Calculate the work done on the trunk by the frictional force. ? Calculate the work done on the trunk by the gravitational force. ?