A mass of m = 3kg is pressed against a spring of spring constant k = 2N/m with a force of 1N. The force is removed and spring pushes the mass away. The mass slides d₁ = 1m on a frictionless surface and then d₂ = 0.1m on a rough (friction) surface where it comes to rest. Answer the following questions. Space for a picture: (a) What is the Potential Energy stored in the spring?

A mass of m = 3kg is pressed against a spring of spring constant k = 2N/m with a force of 1N. The force is removed and spring pushes the mass away. The mass slides d₁ = 1m on a frictionless surface and then d₂ = 0.1m on a rough (friction) surface where it comes to rest. Answer the following questions. Space for a picture: (a) What is the Potential Energy stored in the spring?

Name: 6. A mass of m = 3kg is pressed against a spring of spring constant k
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: 6. A mass of m = 3kg is pressed against a spring of spring constant k = 2N/m with a forceof 1N. The force is removed and spring pushes the mass away. The mass slides d₁ = 1mon a frictionless surface and then d₂ = 0.1m on a rough (friction) surface w

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 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?
B. Word Problem. Directions: Solve the following word problems. Show your solution. (1) A food shipper pushes a wood crate of cabbage heads (total mass m 14 kg) across a concrete floor with a constant horizontal force of magnitude F=40 N. In a straight-line displacement of magnitude d = 0.50 m, how much work is done? A 50 kg child climbs a 10 m long slide with a horizontal inclination of 30 degrees. What is the child's potential energy against the ground? (2) 10 A string in a hand exerciser requires a force of 50 N to compress it by a quarter of a meter. What is the spring constant of the string? (4) (3) A 1 kg ball is rolling down a hill, with an initial velocity of 2m/s. (A as initial position, B as final position). (a) What is the kinetic energy of the ball at the top mg of the hill (A), if the Ah is 2m? Ah (b) What is the mechanical energy of the ball halfway downhil1? B V mg
A 1.2 kg rock is pressed up against a spring with spring constant 30 N/m and then released, causing it to slide across a frictionless horizontal surface and then to slide up a frictonless incline to a height of 20 cm. (a) Fill out the Energy Chart below to calculate the Potential and Kinetic Energy at each time point. Use g = 10 m/s? for easier calcuations. Assume Energy is Conserved throughout the problem. Scene C Scene A Scene B h3D 20 ст- Ax h = 0 Scene A Scene B Scene C | (b) What is the initial compression of the spring, Ax? PEgravity = mgh КЕ = }mv² PEspring = }k(Ax)² 2.
An infinitely long, flat cliff has stones (to be treated as point masses) hanging off it spaced 1 metre apart starting at position n = 1. The stone at position n has masses 1 4n kg and is attached to a 2n m long wire with negligible weight. The first three stones are drawn in Figure 2. How much work is required to pull up all the stones to the top of the cliff? Assume work is measured in newton-meters. If you need to use the acceleration due to gravity constant g, leave it as-is. DO NOT approximate g by a numerical value. 1 2 3 →n FIGURE 2. Point masses hanging off a cliff.
The figure shows an 8.2 kg stone at rest on a spring. The spring is compressed 8.3 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 32 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number (b) Number 78.621 (c) Number 968.192 (d) Number 78.621 61.69 Units N/m Units J Units J Units cm elem
A 2 kg block is on top of a 10 m high table and loaded onto a spring (with spring constant k = 50 N/m) compressed 10 cm from the equilibrium and then released. The block travels on the frictionless table and lands on the ground. What is the total work done by all forces acting on the block from the initial position at the spring to the final position just before the block lands on the ground?
Answer parts a, b and c of the following question.7. a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What should be the force constant (spring constant) of this spring? b) A very light ideal spring having a spring constant (force constant) of 8.2 N/cm is used to lift a 2.2-kg tool with an upward acceleration of 3.25 m/s2. If the spring has negligible length when it us not stretched, how long is it while it is pulling the tool upward? c) How fast must a 6.0-kg cat run to have a kinetic energy of 150 J?
The surfer in the photo is catching a wave. Suppose she starts at the top of the wave with a speed of 2.98 m/s and moves down the wave until her speed reaches 9.56 m/s. The drop in her vertical height is 2.76 m. If her mass is 59.6 kg, how much work is done by the (non-conservative) force of the wave?
A spring has a natural length of 2 ft. A force of 20 lb stretches the spring to a length of 3 ft. Find the spring constant. Then calculate the amount of work done in stretching the spring from its natural length to 3 ft. How much work is done in stretching the spring from 4 ft to 5 ft. How far beyond the natural length will a 30 lb force stretch the spring?
1. A roller-coaster car with a mass of 1200 kg starts at rest from a point 20 m above the ground. At point B, it is 9 m above the ground. [Express your answers in kilojoules (kJ).] a. What is the initial potential energy of the car? b. What is the potential energy at point B? c. If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 40 000 J (40 kJ), what is the kinetic energy of the car at point B 2. The time required for one complete cycle of a mass oscillating at the end of a spring is 0.80 s. What is the frequency of oscillation?
A mouse is on a crazy roller coaster which has five distinct phases. The mouse in his roller coaster car has a mass of 6 kg. The mouse starts the coaster by being pulled back 0.2 m into a spring with a spring constant of 1890 N/m. How much elastic potential energy does the mouse have as he starts his ride? After the spring is released, the mouse travels over the first hill, effectively coming to rest at the top. Calculate the height of the first hill? He then speeds into a valley. At the bottom of the valley 3 J of energy is lost due to friction. What is his total remaining energy after he travels through the valley? The mouse then travels over a 0.10 m hill. How fast is the mouse traveling over the hill at point D? The mouse finally makes it to the final phase of the ride, where he will race along at ground level. How fast is he traveling at point E?
A particle of mass m moves along the x-axis. Its potential energy at any point x is -x2 V(x) = V, x*e* V,= constant a. Find the force on the particle. b. Find all the points on the x- axis where the particle can be in equilibrium and determine whether each equilibrium point is stable or unstable. Sketch the potential energy and label the equilibrium points.