A 195 g block is pressed against a spring of force constant 1.60 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Using energy considerations, determine how far up the incline (in m) the block moves from its initial position before it stops under the following conditions. (a) if the ramp exerts no friction force on the block m (b) if the coefficient of kinetic friction is 0.440 m (c) What If? If the ramp is 4.00 m long, what is the maximum coefficient of friction that would allow the block to reach the end of the ramp?

A 195 g block is pressed against a spring of force constant 1.60 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Using energy considerations, determine how far up the incline (in m) the block moves from its initial position before it stops under the following conditions. (a) if the ramp exerts no friction force on the block m (b) if the coefficient of kinetic friction is 0.440 m (c) What If? If the ramp is 4.00 m long, what is the maximum coefficient of friction that would allow the block to reach the end of the ramp?

Name: A 195 g block is pressed against a spring of force constant 1.60 kN/m
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: A 195 g block is pressed against a spring of force constant 1.60 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Using energy considerations, determine how far up the

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

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 sledge loaded with bricks has a total mass of 18.7 kg and is pulled at constant speed by a rope inclined at 20.3° above the horizontal. The sledge moves a distance of 19.9 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? (b) How much work is done by the rope on the sledge? kJ (c) What is the mechanical energy lost due to friction? k]
When an automobile moves with constant speed down a highway, most of the power developed by the engine is used to compensate for the mechanical energy loss due to frictional forces exerted on the car by the air and the road. If the power developed by the engine is 195 hp, estimate the total friction force acting on the car when it is moving at a speed of 30 m/s. One horsepower equals 746 W.
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/m
A bag of sand which acts as a counter weight for a stage set is suspended vertically by a rope of length L = 6.00 m and has a mass m = 132 kg. If a stagehand pushes the bag of sand a distance d = 5.00 m sideway: (a) the horizontal force needed in order to hold the bag at this position (b) the amount of work done on the bag by gravity as the stagehand pushes it to this position (Include the sign of the value in your answer.) (c) the amount of work done by the stagehand as he pushes the bag to this position (Include the sign of the value in your answer.)
A crate is given a push across a horizontal surface. The crate has a mass m, the push gives it an initial speed of 3.60 m/s, and the coefficient of kinetic friction between the crate and the surface is 0.130. (a) Use energy considerations to find the distance (in m) the crate moves before it stops. ____m (b) What If? Determine the stopping distance (in m) for the crate if its initial speed is doubled to 7.20m/s. ____m
A sledge loaded with bricks has a total mass of 18.6 kg and is pulled at constant speed by a rope inclined at 20.8° above the horizontal. The sledge moves a distance of 20.9 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? (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 sled is given a push across a horizontal surface. The sled has a mass m, the push gives it an initial speed of 3.40 m/s, and the coefficient of kinetic friction between the sled and the surface is 0.150. (a) Use energy considerations to find the distance (in m) the sled moves before it stops. m (b) What If? Determine the stopping distance (in m) for the sled if its initial speed is doubled to 6.80 m/s. m
A 3.00-kg object slides down an inclined plane. The inclined plane is 1.00 m in length and inclined at an angle of 60° as shown in Figure. The object starts from rest at the top, experiences a constant friction force of magnitude 5.00 N, and continues to move a short distance on the horizontal floor after it leaves the inclined plane. By using energy methods. How far does the object slide on the horizontal floor if it continues to experience a friction force of magnitude 5.00 N? 1.0 m x-? V-0 e=60°
A rope is used to pull a 4.09 kg block at constant speed 6.81 m along a horizontal floor. The force on the block from the rope is 7.58 N and directed 23.7° above the horizontal. What are (a) the work done by the rope's force, (b) the increase in thermal energy of the block-floor system, and (c) the coefficient of kinetic friction between the block and floor?
A crate of mass 9.4 kg is pulled up a rough incline with an initial speed of 1.44 m/s. The pulling force is 104 N parallel to the incline, which makes an angle of 19.5° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.92 m. (a) How much work is done by the gravitational force on the crate? -152.37 J (b) Determine the increase in internal energy of the crate-incline system owing to friction. 471.0 X A careful free-body diagram of the crate may help you determine the magnitude of the friction force. J (c) How much work is done by the 104-N force on the crate? 511.68 J (d) What is the change in kinetic energy of the crate? 184.95 J (e) What is the speed of the crate after being pulled 4.92 m? 6.47 m/s
A cart loaded with bricks has a total massof 20.5 kg and is pulled at constant speed bya rope. The rope is inclined at 20.7◦ degrees above the horizontal and the cart moves25.2 m on a horizontal floor. The coefficientof kinetic friction between ground and cart is0.274.The acceleration of gravity is 9.8 m/s2.How much work is done on the cart by the rope?Answer in units of kJ.