A box of mass m=15 kg at the packaging section of a factory comes to the top of a ramp (0=37°) with speed vo and slides down where it is picked up for shipment. In order to avoid damage to the box a spring is used with force constant k=100N/m and the maximum force Fmax=100N. The box slides a distance of l=4 m down the incline before it hits the spring as shown. The coefficient of kinetic frietion between the box and entire ramp is 0.75. a) Find the work done by the gravity , normal force and friction force on the box until it hits the spring. b) Find the maximum speed of the box at the top of the ramp if the box is to be picked up whsn the spring is in

A box of mass m=15 kg at the packaging section of a factory comes to the top of a ramp (0=37°) with speed vo and slides down where it is picked up for shipment. In order to avoid damage to the box a spring is used with force constant k=100N/m and the maximum force Fmax=100N. The box slides a distance of l=4 m down the incline before it hits the spring as shown. The coefficient of kinetic frietion between the box and entire ramp is 0.75. a) Find the work done by the gravity , normal force and friction force on the box until it hits the spring. b) Find the maximum speed of the box at the top of the ramp if the box is to be picked up whsn the spring is in

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)...

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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

3. A box of mass m=15 kg at the packaging section of a factory comes to the top of a ramp
(0=37°) with speed vo and slides down where it is picked up for shipment. In order to
avoid damage to the box a spring is used with force constant k=100N/m and the
maximum force
Fmax=100N. The box slides a distance of l=4 m down the incline before it hits the spring
as shown. The coefficient of kinetie frietion between the box and entire ramp is 0.75.
a) Find the work done by the
gravity , normal force and
friction force on the box until
it hits the spring.
b) Find the maximum speed of
the box at the top of the ramp
if the box is to be picked up
when the spring is in
maximum compression.
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