Chapter 9: Q. 37 (page 229)

a. How much work must you do to push a $10$ kg block of steel across a steel table at a steady speed of $1.0$ m/s for $3.0$ s?
b. What is your power output while doing so?

Short Answer

Expert verified

a). work done is $176.4$ J

b). power output is $58.8$ W

Step by step solution

Step 1. Part a). Find the work done

Work done on block is $W = F ∆ r$ , where we don't know (yet) force or displacement. If we look at force on block, we see that there are two on block: friction and force of push. We can use second law of Newton

$m \vec{a} = \sum_{} \vec{F} 0 = F_{f r i c t i o n} - F_{p u s h} F_{p u s h} = m g μ_{s t e e l t o s t e e l} = 10 k g \cdot 9.8 m / s^{2} \cdot 0.6 = 58.8$

Displacement with velocity and elapsed time

$∆ r = v ∆ t = 1 m / s \cdot 3 = 3 m$

So, work required to push the block is

$W = F ∆ r = 58.8 N \cdot 3 m = 176.4 J$

Step 2. Part b). Power Output

$P = \frac{∆ W}{∆ t} P = \frac{176.4}{3} P = 58.8$

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a. How much work must you do to push a $10$ kg block of steel across a steel table at a steady speed of $1.0$ m/s for $3.0$ s?
b. What is your power output while doing so?

Short Answer

Step by step solution

Step 1. Part a). Find the work done

Step 2. Part b). Power Output

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a. How much work must you do to push a 10kg block of steel across a steel table at a steady speed of 1.0m/s for 3.0s?b. What is your power output while doing so?

Short Answer

Step by step solution

Step 1. Part a). Find the work done

Step 2. Part b). Power Output

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Further Mechanics and Thermal Physics

Medical Physics

Force

Geometrical and Physical Optics

Electricity

Translational Dynamics

Study anywhere. Anytime. Across all devices.

a. How much work must you do to push a $10$ kg block of steel across a steel table at a steady speed of $1.0$ m/s for $3.0$ s?
b. What is your power output while doing so?