U(x)(J) 4 12.0- 8.0- 4.0- 4.0 8.0 12.0 16.0 20.0 x(m) -4.0 -8.0f -12.0+
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Q: A force parallel to x-axis acts on a particle moving along the x-axis. The force produces potential…
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A particle of mass 0.50 kg moves along the x-axis with a potential energy whose dependence on x is shown below. (a) What is the force on the particle at x = 2.0, 5.0, 8.0, and 12 m? (b) If the total mechanical energy E of the particle is −6.0 J, what are the minimum and maximum positions of the particle? (c) What are these positions if E = 2.0 J? (d) If E = 16 J , what are the speeds of the particle at the positions listed in part (a)?
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- In the figure, a frictionless roller coaster car of mass m = 992 kg tops the first hill with speed v0 = 16.7 m/s at height h = 40.7 m. How much work does the gravitational force do on the car from that point to (a) point A, (b) point B, and (c) point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B and (e) A? I know the first one is 0 J.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 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 0.32-kg particle has a speed of 5.0 m/s at point A and kinetic energy of 8.1 J at point B. (a) What is its kinetic energy at A? (b) What is its speed at point B? m/s (c) What is the total work done on the particle as it moves from A to B?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 child of mass m = 27 kg slides down a slide of height h = 2.1 m without friction. Let gravitational potential energy be zero at ground level. 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. 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). What is the child's final speed, vf in m/s?
- A horizontal force of magnitude 40.1 N pushes a block of mass 3.85 kg across a floor where the coefficient of kinetic friction is 0.553. (a) How much work is done by that applied force on the block-floor system when the block slides through a displacement of 4.78 m across the floor? (b) During that displacement, the thermal energy of the block increases by 38.0 J. What is the increase in thermal energy of the floor? (c) What is the increase in the kinetic energy of the block?A 4.5 g marble is fired vertically upward using a spring gun. The spring must be compressed 8.0 cm if the marble is to just reach a target 14 m above the marble's position on the compressed spring. (a) What is the change in the gravitational potential energy of the marble-Earth system during the 14 m ascent? (b) What is the change in the elastic potential energy of the spring during its launch of the marble? (c) What is the spring constant of the spring? N/mA 0.40 kg block can slide up and down a rough 10-m-high, 30-m-long slope. At the bottom, a stiff spring with spring constant 800 N/m is compressed 0.50 m and used to launch the block up the slope. The friction force on the block from the slope is 1.2 N. What is the speed of the block when it reaches the top of the slope? When apply the following energy principle to this question, assuming the system is block+earth+spring+slope, which of the energy term is positive? Select all apply. ΔK + ΔUg + ΔUsp + ΔEth + ΔEch = Wexternal Answers choices ΔK ΔUg ΔUsp ΔEth ΔEch Wexternal
- A horizontal force of magnitude 44.1 N pushes a block of mass 4.47 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 3.31 m across the floor? (b) During that displacement, the thermal energy of the block increases by 38.0 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 Units (c) Number i UnitsA horizontal force of magnitude 37.4 N pushes a block of mass 3.83 kg across a floor where the coefficient of kinetic friction is 0.639. (a) How much work is done by that applied force on the block-floor system when the block slides through a displacement of 3.86 m across the floor? (b) During that displacement, the thermal energy of the block increases by 39.5 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 Units (b) Number i Units (c) Number Units >A 0.40 kg block can slide up and down a rough 10-m-high, 30-m-long slope. At the bottom, a stiff spring with spring constant 800 N/m is compressed 0.50 m and used to launch the block up the slope. The friction force on the block from the slope is 1.2 N. What is the speed of the block when it reaches the top of the slope? When apply the following energy principle to this question, assuming the system is block+earth+spring+slope, which of the energy term is positive? Select all apply. ΔK + ΔUg + ΔUsp + ΔEth + ΔEch = Wexternal