Suppose a box of mass m slides toward a spring with a speed of Vi, presses 1.00 m into the spring, and then bounces away with a final speed of 15.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk = 0.5).
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- 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 block with mass m = 12 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4599 N/m after being compressed a distance x1 = 0.45 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d = 2.7 m long. For this rough path, the coefficient of friction is μk = 0.41. 1) How much work is done by friction as the block crosses the rough spot? 2) Instead, the spring is only compressed a distance x2 = 0.117 m before being released. How far into the rough path does the block slide before coming to rest? 3) What distance does the spring need to be compressed so that the block will just barely make it past the rough patch when released?A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a mass of m = 120 kg combined. In this problem, you can ignore air resistance and other losses due to friction.How much work, W in joules, did the rider do before reaching the hill? What is the bicycle's speed, v in m/s, just before the hill? If the cyclist starts coasting at the bottom of the hill, what distance, di in meters, does the bike travel up the incline?
- A) A 1390 kg car accelerates uniformly from rest to 10.4 m/s in 2.87 s. Find the work done on the car in this time interval. Answer in units of kJ. B) Find the average power delivered by the en- gine in this time interval. Answer in units of hp. C) Find the instantaneous power delivered by the engine at t = 1.5 s. Answer in units of hp.Starting from rest, a 6.6-kg block slides 3.3 m down a rough 36-degree incline. The coefficient of kinetic friction between the block and the incline is μk = 0.49. Determine the net work done on the block.In the figure, a block of mass m = 1.30 kg slides head on into a spring of spring constant k = 390 N/m. When the block stops, it has compressed the spring by 6.60 cm. The coefficient of kinetic friction between block and floor is 0.330. 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?
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- In the figure, a block of mass m = 1.40 kg slides head on into a spring of spring constant k = 220 N/m. When the block stops, it has compressed the spring by 14.0 cm. The coefficient of kinetic friction between block and floor is 0.280. 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) Number (b) Number i i (c) Number i Units Units Units 4 ←Timothy weighs 515 N. he runs up a 16.5m tall building and jumps off. When he reaches the ground, he is travelling at 16.4 m/s. What is the work done by air resistance? Use formulas mgh and 1/2m(vf^2) - 1/2m(vi^2) if possible.A block of mass m = 5.70 kg is attached to a light spring and slides on a rough horizontal surface as shown in the figure below. The spring constant is k = 90.0 N/m and the coefficient of kinetic friction between the block and the surface is µy = 0.150. The block is released from rest when the spring is stretched the distance x; = 22.00 cm . wwww x = 0 x= x; (a) Find the work done by the friction force from the start of the motion to the moment when the block passes the equilibrium position X = 0. W = (b) Find the speed of the ball when it passes the equilibrium position x = 0 . V = m/s (c) Find the position of the block xf, at which it will stop. Xf = cm