A 80.1-kg skier rides a 2760-m-long lift to the top of a mountain. The lift makes an angle of 18.8° with the horizontal. What is the change in the skier's gravitational potential energy? Number i Units
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- The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation F(x) = ax2 - bx, where a = 55 N/m2, b = 4 N/m, and the positive x direction is in the compression direction of the spring. a. Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp. b. Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x1 = 42 cm. c. Calculate the work done, in joules, on the spring as it is compressed from x1 = 42 cm to x2 = 94 cm.n 13 A 55 kg box is raised a distance of 2.0 m above a storeroom floor. ed What is the change of potential energy as a result of this move? lout ofA certain sprìng whose normal length is 42 cm is stretched 6.3 cm by a force of 18 N. How much work is done in stretching the spring from its normal length to a length of 44.7 cm? work= Number N. m Round your answer to 4 decimal places
- The force on a particle is directed along an x axis and given by F = Fo(x/xo - 1) where x is in meters and F is in Newtons. If Fo = 1.2 N and Xo = 2.7 m, find the work done by the force in moving the particle from x =0 to x = 2xo m. Number i UnitsA set of stadium stairs consist of 90, 20 cm high steps. A 70 kg runner is training bytraversing up and down the steps.a. What is the change of potential energy that occurs with each step? For all 90 steps?b. How much work is required to travel up the steps in 20 sec? In 15 sec?c. What is the power required to run up the steps in 20 sec? In 15 sec?d. What is the total work done over the course of the stadium training session? Why?Timmy (m=50kg) is at the top of a 7m tall hill. a. What type of energy does he have at the top of the hill? b. What is his potential energy? c. What type of energy does he have at the bottom of the hill? d. What is his speed at the bottom of the hill, after he slides down it? e. The hill has a river at the bottom, that causes two things. First is a vertical drop of 2m, second is a horizontal gap. What distance is the gap if Timmy makes the jump? Here you may also assume that at the bottom of the hill Timmy flies horizontally off.
- Do not use Ug=mgh. PleaseA force acts on a particle that moves along the X axis and varies with position according to the graph shown. if the mobile starts from the origin. a. calculate the work done by the force when it moves from position x=8m to position x= 13m. b. find the average power that force develops if it takes 0.5 seconds to reach the position x= 2mA bicycler is moving at 8m/s when they reach the top of a 20m high hill. They coast 15m to the bottom of the hill. They are moving 15m/s when they reach the bottom of the hill. The combined mass of the bicycler and the bicycle is 95kg. a. Calculate the work done by friction on the bicycler. b.Calculate the magnitude of the force of friction acting on the bicycle.
- A 3.50 kg block is pulled up a frictionless inclined plane by a 60.0 N force that is parallel to the plane, starting from rest.The normal force on the block from the plane has magnitude 15.2 N.What is the block's speed when its displacement up the ramp is 3.40 m? Number i UnitsA 70.5-kg hiker starts at an elevation of 1260 m and climbs to the top of a peak 2800 m high. a.)What is the hiker's change in potential energy? Express your answer to three significant figures and include the appropriate units. b.)What is the minimum work required of the hiker? Express your answer to three significant figures and include the appropriate units.A 500 kg cart rests atop a hill 30.0 m high on a roller coaster. Its gravitational potential energy is measured relative to the bottom of the hill. The cart then rolls down the hill. Which of these best describes what is happening in this situation? a. the total mechanical energy of the cart is decreasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing b. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing c. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is decreasing d. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is decreasing, and the gravitational potential energy of the cart is increasing e. the total mechanical energy of…