The Figure Shows a Block of Mass M Resting on a 20°

question 34

Multiple Choice

The figure shows a block of mass m resting on a 20° slope. The block has coefficients of friction $\mu _ { \mathrm { S } } = 0.64$ and $\mu _ { \mathrm { k } } = 0.54$ with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?

• A)2.1 kg
• B)3.3 kg
• C)1.3 kg
• D)3.6 kg

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Definitions:

Significant

In statistics, significant means that an observed effect or relationship is unlikely to be due to chance, typically measured by a p-value.

Slope

A measure of the steepness, incline, or grade of a line, representing the rate of change in the y-variable for a one unit increase in the x-variable.

Regression Equation

An equation that describes the relationship between a dependent variable and one or more independent variables.

Calculate

To ascertain a value through mathematical processes.