What is the work done by gravity on the cart from its initial position to when it reaches the bottom of the hill? Hint: remember that to calculate work, you need to multiply the magnitude of the force and the displacement in the same direction as the force. You can choose to use either the vertical displacement of the cart, or the distance traveled along the incline.

What is the work done by gravity on the cart from its initial position to when it reaches the bottom of the hill? Hint: remember that to calculate work, you need to multiply the magnitude of the force and the displacement in the same direction as the force. You can choose to use either the vertical displacement of the cart, or the distance traveled along the incline.

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2. An ocean diver swims upwards against the drag force exerted by the water. This force varies in magnitude by depth (d) and is given by F(d)=√d, where y=100 N/m ¹/2. If the diver ascends from a depth of d=10m to the surface (d=0), what is the work done by this drag force? Why is this work negative?
Two toboggans (with riders) of the same mass are at rest on top of a steep hill. As they slide down the hill, toboggan A takes a straight path down the slope while toboggan B winds back and forth along a more gently sloping path. Toboggan A makes the trip in one fifth the time of toboggan B. HINT (a) Compare the work done by gravity on each toboggan. g, A = W W (b) Compare the average power delivered by gravity on the two toboggans. g₁ A = P 9, B P 9, B
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How much work is done when you push a crate horizontally with 120 NN across a 11-mm factory floor? Express your answer to two significant figures and include the appropriate units. WW = 1300 JJ If the force of friction on the crate is a steady 70 NN, find the KE gained by the crate. Express your answer to two significant figures and include the appropriate units.
2. A cart is pulled a distance D on a flat, horizontal surface by a constant force F that actsat an angle θ with the horizontal direction. The other forces on the object during thistime are gravity (Fw), normal forces (FN1) and (FN2), and rolling frictions Fr1 and Fr2,as shown below. What is the work done by each force?
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 particle moves in one dimension under the influence of a variable force given by F(x) = Fo(i Here Fo, Xo are positive constants Find an expression for the work done by the force as the particle moves from x=0 (the origin) to x=Xo in terms of these constants
Several physical situations are described below. For each situation, simplify the work-energy equation by canceling any zero terms and any energy terms (whether KE or PE) which are unchanging. Explain each term which gets canceled. A cross-country skier is in motion on top of a small hill. He skis down the hill into the valley and up a second smaller hill. He uses his poles to propel himself during the entire motion. Ignore the effect of friction and air resistance. Simplification of Work-Energy Equation KEi + PEi + Wnc = KEf + PEf
Do the following situations result in positive work, negative work, or zero work? Force is perpendicular to displacement. A force slows an object down. Force acts in the same direction as displacement. Force acts in the opposite direction of displacement. A force acts on an object that remains stationary.
A block of mass m = 2.00 kg is pushed a distance d = 7.80 m along a frictionless, horizontal table by a constant applied force of magnitude F = 17.0 N directed at an angle θ = 26.0° below the horizontal as shown in the figure below. a) Determine the work done on the block by the applied force. b) Determine the work done on the block by the normal force exerted by the table. c) Determine the work done on the block by the gravitational force. d) Determine the work done on the block by the net force on the block.
A 32-kg block is pulled along the ground for a distance of 4.9 m by a 57 N force at an angle of 21 degrees with respect to the horizontal. The coefficient of kinetic friction is 0.21. a) Find the work done (in J) by the applied force. b) Find the work done (in J) by the normal force exerted by the ground. c) Find the work done (in J) by the force of gravity.
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