rough surficeSmathswaceleeeeed2.50mhe 3.00mE; Ei + WNcA 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in thefigure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m longrough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to theright and bumps into a massless spring with a spring constant (k) equal to 2320 N/m.a) How much does the spring get compressed by the block with respect to its equilibrium length?Please answer with a positive number in units of metres, with 3 sig figs. Start with conservationof energy: E, = E; + WNC , and show all steps.b) What is the potential energy stored by the spring when the mass comes to a stop? Please showthe symbolic equation and then "plug in the numbers" to give a numerical answer in units ofjoules with 3 sig figs.c) What happens to the potential energy stored in the spring after the block stops moving to theright? [no calculation required]

Given:- The Block of mass m = 34.2 kg The initial velocity of the block v = 10.22 m/s The height…

A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frict figure above). The block slides up a slope to a height of 3.00 m and the rough surface with a coefficient of kinetic friction equal to 0.325. The b right and bumps into a massless spring with a spring constant (k) equal

A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frict figure above). The block slides up a slope to a height of 3.00 m and the rough surface with a coefficient of kinetic friction equal to 0.325. The b right and bumps into a massless spring with a spring constant (k) equal

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 92AP: Two blocks, A and B (with mass 50.0 kg and 1.00 102 kg, respectively), are connected by a string,...

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

rough surfice
Smath
swace
leeeeed
2.50m
he 3.00m
E; Ei + WNc
A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the
figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long
rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the
right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m.
a) How much does the spring get compressed by the block with respect to its equilibrium length?
Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation
of energy: E, = E; + WNC , and show all steps.
b) What is the potential energy stored by the spring when the mass comes to a stop? Please show
the symbolic equation and then "plug in the numbers" to give a numerical answer in units of
joules with 3 sig figs.
c) What happens to the potential energy stored in the spring after the block stops moving to the
right? [no calculation required]

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