A 5.0 kg rock is allowed to fall freely from a height of 10 meters. 2. (a) Is the work done on the rock during the first two meters of the fall greater than, less than or equal to the work done on the rock during the next two meters of its fall? (b) Is the change in kinetic energy of the rock during the first two meters of the fall greater than, less than or equal to the change in its kinetic energy during the next two meters of its fall?
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- A 359 kg box is pulled 7.00 m up a 30° frictionless, inclined plane by an external force of 5175 N that acts parallel to the plane. Calculate the work done by the external force. work done by the external force: Calculate the work done by gravity. work done by gravity: Calculate the work done by the normal force. work done by the normal force: J J JIn the figure, a block of mass m = 3.70 kg slides head on into a spring of spring constant k = 370 N/m. When the block stops, it has compressed the spring by 13.0 cm. The coefficient of kinetic friction between block and floor is 0.300. While the block is in contact with the spring and being brought to rest, what are (a) the work done by the spring force and (b) the increase in thermal energy of the block-floor system? (c) What is the block's speed just as the block reaches the spring?A Net Force Fnet=(x-3x2)i + (2y2-y3)j acts on a 3.5 kg particle. a) Calculate the net work done on the particle as it moves from (1.0m,0.0m) to (1.0m,4.0m). b) At (x,y) = (1.0m,0.0m), the particle's speed is 5.0 m/s. Find the particle's speed at (x,y) = (1.0m,4.0m).
- A trunk of mass m = 0.6 kg is pushed a distance d = 30 cm up an incline with an angle of inclination theta = 23.0° by a constant horizontal force P = 425 N (see figure). The coefficient of kinetic friction between the trunk and the incline is 0.31. P. 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.A 325 N force is pulling on an 85.0 kg refrigerator as it slides across a horizontal floor. The force acts at an upward angle of 25.0° above the horizontal. The coefficient of kinetic friction between the refrigerator and the floor is 0.150, and the refrigerator moves a distance of 5.50 m. Find (a) the work done by the pulling force, (b) the work done by the force of kinetic friction, (c) the net amount of work done on the refrigerator, and (d) if the refrigerator was initially at rest determine the speed of the refrigerator after the 5.50m displacement. (e) Include a force (or free-body) diagram of the situation. [Diagram 2 pts.]A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?
- A horizontal force of magnitude 41.3 N pushes a block of mass 3.92 kg across a floor where the coefficient of kinetic friction is 0.576. (a) How much work is done by that applied force on the block-floor system when the block slides through a displacement of 4.79 m across the floor? (b) During that displacement, the thermal energy of the block increases by 40.5 J. What is the increase in thermal energy of the floor? (c) What is the increase in the kinetic energy of the block? (a) Number i Units (b) Number i Units (c) Number i UnitsA stone is dropped from a high tower and is falling freely under the influence of the force of gravity. Ignoring air resistance, which statement is correct? (a) There is zero work done by the force of gravity as the stone falls. (b) The kinetic energy of the stone increases by equal amounts over equal distances. (c) The kinetic energy of the stone increases by equal amounts in equal time intervals. (d) The potential energy of the stone decreases by equal amounts in equal times. (e) The total energy of the stone increases by equal amounts in equal distances.A sledge loaded with bricks has a total mass of 18.9 kg and is pulled at constant speed by a rope inclined at 19.5° above the horizontal. The sledge moves a distance of 19.8 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? ___N(b) How much work is done by the rope on the sledge? ____kJ(c) What is the mechanical energy lost due to friction? ____kj
- A 287-kg crate is being pushed across a horizontal floor by a force P that makes an angle of 17.1 ° below the horizontal. The coefficient of kinetic friction is 0.253. What should be the magnitude of P, so that the net work done by it and the kinetic frictional force is zero? Number M. UnitsA 0.30 kg object travels from point A to point B. If the speed of the object at point A is 8.0 m/s and the kinetic energy at point B is 8.0 J, determine the following. (a) the kinetic energy (in J) of the object at point A J (b) the speed (in m/s) of the object at point BAn airplane flies 140 km at a constant altitude in a direction north of east. A wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kN in a direction 10.0° south of west. How much work is done by the air on the plane? Group of answer choices: A) -1.15 × 108 J B) -3.15 × 108 J C) 0.985 × 108 J D) -257 × 108 J E) 257 × 108 J