Note: Use work and energy methods to solve these problems. 1) The figure below illustrates a box having mass M positioned on a frictionless ramp having ramp angle 0. An ideal rope extends from the box up the ramp to an ideal pulley. The rope further extends horizontally to one end of an ideal horizontal spring having spring constant k. The other end of the spring is attached to a stationary wall. At the moment the spring is at its natural length, the box is traveling down the ramp with speed Vo. The box continues sliding down the ramp until the spring has stretched a distance D, which is also when the box momentarily comes to rest. Determine expressions {Vo, M, g, 0, k} for: a) the distance D; and b) the speed of the box at the moment the spring is stretched a distance D/2.

Note: Use work and energy methods to solve these problems. 1) The figure below illustrates a box having mass M positioned on a frictionless ramp having ramp angle 0. An ideal rope extends from the box up the ramp to an ideal pulley. The rope further extends horizontally to one end of an ideal horizontal spring having spring constant k. The other end of the spring is attached to a stationary wall. At the moment the spring is at its natural length, the box is traveling down the ramp with speed Vo. The box continues sliding down the ramp until the spring has stretched a distance D, which is also when the box momentarily comes to rest. Determine expressions {Vo, M, g, 0, k} for: a) the distance D; and b) the speed of the box at the moment the spring is stretched a distance D/2.

Name: Note: Use work and energy methods to solve these problems.1) The figu
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: Note: Use work and energy methods to solve these problems.1) The figure below illustrates a box having mass M positioned on a frictionless ramp having ramp angle 0.An ideal rope extends from the box up the ramp to an ideal pulley. The rope further e

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 shopper weighs 2.50 kg of apples on a supermarket scale whose spring obeys Hooke's law and notes that the spring stretches a distance of 5.00 cm. (a) What will the spring's extension be if 5.50 kg of oranges are weighed instead? ?cm (b) What is the total amount of work that the shopper must do to stretch this spring a total distance of 7.50 cm beyond its relaxed position? ?J
Please answer and solve the question correctly. Thank you!
d) What is the applied force when the spring is compressed? e) What is the kinetic energy of the toy when it reaches its maximum height?
Problem 4 In the Figure below, a 2.5 kg block slides head on into a spring with a spring constant of 320 N/m. When the block stops it has compressed the spring by 7.5 cm. The coefficient of kinetic friction between the block and the horizontal surface is 0.25. 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? 320 N/m 2.5 kg
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?
An object of mass 9.5 kg is released at point A, slides to the bottom of the 30o incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 450 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless. Image Description What is the speed of the object at the bottom of the incline?v=v= m/s What is the work of friction on the object while it is on the incline?Wf=Wf= J The spring recoils and sends the object back toward the incline. What is the speed of the object when it reaches the base of the incline?v=v= m/s What vertical distance does it move back up the incline?h=h= m
A 3 kg block is held 3 meters above the free end of a relaxed massless vertical spring. The block is dropped from rest so that it falls vertically onto the spring and compresses it by a distance of 0.2 meters. Use energy conservation to find the spring constant. A.) 7412 N/m B.) 4704 N/m C.) 9725 N/m D.) 3128 N/m
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 mass attached to a spring and allowed to oscillate horizontally on a tabletop is subject to both the restoring force of the spring and the force of friction. a) Which of these forces does work? If they do work, is it always positive, always negative, or does the sign vary? b) An energy is defined for only one of these two forces. Which is it, and why? Edit View Insert Format Tools Table 12pt v Paragraph v BI U A 2 T? v: 3 6 80 E RI TT K D V. B.
Which of the following statements are true? options: The rest length of a spring is where it applies zero force. The spring constant has units of N/m. Work can be calculated for a force that depends on position. Work is the slope of the force vs. position graph. If we stretch a spring twice as far beyond the rest length, the spring force is 4x larger. If we stretch a spring twice as far beyond the rest length, the potential energy is 4x larger.
The box located at y =3.5 m is initially compressing a spring at a certain distance. When the spring was brought back to equilibrium, the box sled onto the rough incline, reached a frictionless horizontal surface and continued to move until it encountered a very rough surface where its motion halted at the end of the 5-m surface. Calculate the: A. compression distance of the spring to reach the end of the track B. speed of the box at the start of the frictionless surface K=3000N/M compressed mass = 10 kg 3. 5m Mx=0.9 frictlonless
What information do you need to calculate the kinetic energy and potential energy of a spring? Potential energy due to gravity? How many objects do you need information about for each of these cases?