stly, physicist like to express friction forces in terms of the efficient of friction µ, so that = µ × Normal Force

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Lastly, physicists like to express friction forces in terms of the coefficient of friction \( \mu \), so that

\[ f = \mu \times \text{Normal Force} \]

What is \( \mu \) in this problem?

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The text refers to a formula used in physics to calculate the force of friction. Here, \( f \) represents the frictional force, \( \mu \) is the coefficient of friction, and the "Normal Force" is the perpendicular force exerted by a surface. The equation shows that the frictional force is the product of the coefficient of friction and the normal force. The question asks for the value of \( \mu \) in a given problem.
Transcribed Image Text:Lastly, physicists like to express friction forces in terms of the coefficient of friction \( \mu \), so that \[ f = \mu \times \text{Normal Force} \] What is \( \mu \) in this problem? --- The text refers to a formula used in physics to calculate the force of friction. Here, \( f \) represents the frictional force, \( \mu \) is the coefficient of friction, and the "Normal Force" is the perpendicular force exerted by a surface. The equation shows that the frictional force is the product of the coefficient of friction and the normal force. The question asks for the value of \( \mu \) in a given problem.
A 5-kg block is set into motion up an inclined plane (30°) with an initial speed of 8.0 m/s. There is friction between the block and the plane. The block comes to rest after traveling 3.0 m along the plane.

Define the positive x-direction to be down the ramp.

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### Explanation

In this description, a block with a mass of 5 kilograms is pushed up a ramp inclined at an angle of 30 degrees. The block starts with a velocity of 8.0 meters per second. Due to friction between the surface of the block and the ramp, the block eventually stops after moving 3.0 meters up the inclined plane. For analysis, the x-axis is defined such that the positive direction is down the ramp. This setup is typically used to analyze the forces and energy transformations involved.
Transcribed Image Text:A 5-kg block is set into motion up an inclined plane (30°) with an initial speed of 8.0 m/s. There is friction between the block and the plane. The block comes to rest after traveling 3.0 m along the plane. Define the positive x-direction to be down the ramp. --- ### Explanation In this description, a block with a mass of 5 kilograms is pushed up a ramp inclined at an angle of 30 degrees. The block starts with a velocity of 8.0 meters per second. Due to friction between the surface of the block and the ramp, the block eventually stops after moving 3.0 meters up the inclined plane. For analysis, the x-axis is defined such that the positive direction is down the ramp. This setup is typically used to analyze the forces and energy transformations involved.
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