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edu/ courses/31725/quizzes/98451/take 0 World Scratch Map Campbell Biology in E

ID: 1776373 • Letter: E

Question

edu/ courses/31725/quizzes/98451/take 0 World Scratch Map Campbell Biology in E Pet Portrait pet portr CengageBrain - MyH Question 7 10.5 pts An object with a mass of 2 kg is initially pressed 042 meters into a spring with a spring constant of 358 N/m which is on a horizontal surface. It is held still and then released It travels over a frictionless horizontal surface and then up a frictionless incline. How high does it reach before the object is stopped, in meters? This is not how far it travels up the incline, it's the height on the incline 10.5 pts

Explanation / Answer

Given,

m = 2 kg ; x = 0.42 m ; k = 358 N/m

The PE of the spring gets converted to kinetic energy, which later gets converted to gravitational potential energy since there is no frictional force acting.

1/2 k x^2 = m g h

h = 1/2 k x^2/mg = 0.5 x 358 x 0.42^2/2 x 9.81 = 1.61 m

Hence, h = 1.61 m