2- A 3kg block slides along a floor with coefficient of kinetic friction k = 0.3, initially moving at 7.0m/s. Ittravels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient ofkinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How farup the ramp does the block slide, before momentarily coming to rest? 4) For each part of the problem, identify all the forces acting on the block, and draw a free bodydiagram.5) Instead of using a Newton's 2nd Law equation, write out the Work Energy Theorem for each partof the problem (that is the AK = W1 + W2+ .. equation.) For both parts of the problem, find thework done by each force on the block and place them on the right-hand side of the equation. (Inthe ramp part, the magnitude of displacement is unknown, so just leave it as a variable.)

Consider the free-body diagram of the block when it is at the horizontal surface, and when it is at…

A 3kg block slides along a floor with coefficient of kinetic friction uk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest?

A 3kg block slides along a floor with coefficient of kinetic friction uk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest?

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

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A 3kg block slides along a floor with coefficient of kinetic friction k = 0.3, initially moving at 7.0m/s. It
travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of
kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far
up the ramp does the block slide, before momentarily coming to rest?

4) For each part of the problem, identify all the forces acting on the block, and draw a free body
diagram.
5) Instead of using a Newton's 2nd Law equation, write out the Work Energy Theorem for each part
of the problem (that is the AK = W1 + W2+ .. equation.) For both parts of the problem, find the
work done by each force on the block and place them on the right-hand side of the equation. (In
the ramp part, the magnitude of displacement is unknown, so just leave it as a variable.)

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Problem 4: Speed deamplifier. In the figure above on the right, block 1 of mass m1 slides along an x-axis on a frictionless floor at speed 4 m/sec.Then it undergoes a one-dimensional elastic collision with stationary block 2 of mass m2 = 2m1. Next, block 2 undergoes a one-dimensional elastic collision with stationary block 3 of mass mz = 4m1. What then is the speed of block 3? Answer: 16 m/sec or 1.78 m/sec.