'art (b) Suppose that the block has mass m = 2.2 kg, the angle of the plane with the horizontal is = 41°, the coefficient of friction between the block and the inclined plane is μ₁ = 0.31, the height of the block when the spring is at its equilibrium length is h = 0.43 m, the spring constant is k₁ = 32 N/m, and the initial compression of the spring is Ax = 0.23 m. With these values, the block will reach the bottom of the ramp.. Find the speed, in meters per second, of the block when it reaches the end of the ramp. Treat the block as a point.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Problem 11: A block of mass m is located on an inclined plane that makes an angle with
the norizontal. The coefficient of kinetic friction between the block and the inclined plane is µ₁. The
block presses against, but is not attached to, a spring with constant k₁. When the spring is at its
equilibrium position, the block is at a height h above the ground, as shown. The initial position of
the block, from which it is released, is a bit further up the inclined plane such that the spring is
initially compressed by Ax. At the bottom of the inclined plane is a horizontal plane with a different
coefficient of friction, µ2, for the first distance, d, after which the surface is frictionless, and the
equilibrium position of a spring with constant k2 is encountered.
h
0
μ₁
μ₂ www
d
Transcribed Image Text:Problem 11: A block of mass m is located on an inclined plane that makes an angle with the norizontal. The coefficient of kinetic friction between the block and the inclined plane is µ₁. The block presses against, but is not attached to, a spring with constant k₁. When the spring is at its equilibrium position, the block is at a height h above the ground, as shown. The initial position of the block, from which it is released, is a bit further up the inclined plane such that the spring is initially compressed by Ax. At the bottom of the inclined plane is a horizontal plane with a different coefficient of friction, µ2, for the first distance, d, after which the surface is frictionless, and the equilibrium position of a spring with constant k2 is encountered. h 0 μ₁ μ₂ www d
=
'art (b) Suppose that the block has mass m = 2.2 kg, the angle of the plane with the horizontal is 0 = 41°, the coefficient of friction between the
block and the inclined plane is μ₁ = 0.31, the height of the block when the spring is at its equilibrium length is h 0.43 m, the spring constant is
k₁ 32 N/m, and the initial compression of the spring is Ax 0.23 m. With these values, the block will reach the bottom of the ramp.. Find the speed, in
meters per second, of the block when it reaches the end of the ramp. Treat the block as a point.
m/s
V =
Transcribed Image Text:= 'art (b) Suppose that the block has mass m = 2.2 kg, the angle of the plane with the horizontal is 0 = 41°, the coefficient of friction between the block and the inclined plane is μ₁ = 0.31, the height of the block when the spring is at its equilibrium length is h 0.43 m, the spring constant is k₁ 32 N/m, and the initial compression of the spring is Ax 0.23 m. With these values, the block will reach the bottom of the ramp.. Find the speed, in meters per second, of the block when it reaches the end of the ramp. Treat the block as a point. m/s V =
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