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Chapter 9: Q. 18 (page 228)

The two ropes seen in FIGURE are used to lower a $255$ kg piano $5.00$ m from a second-story window to the ground. How much work is done by each of the three forces?

Short Answer

Expert verified

$W_{G r a v i t y} = 12.5 K g W_{1} = - 7.9 k J W_{2} = - 4.6 k J$

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Most popular questions from this chapter

When you ride a bicycle at constant speed, nearly all the energy you expend goes into the work you do against the drag force of the air. Model a cyclist as having cross-section area $0.45 m^{2}$ and, because the human body is not aerodynamically shaped, a drag coefficient of $0.90$ .

a. What is the cyclist’s power output while riding at a steady $7.3 m / s (16 m p h)$ ?

b. Metabolic power is the rate at which your body “burns” fuel to power your activities. For many activities, your body is roughly $25 %$ efficient at converting the chemical energy of food into mechanical energy. What is the cyclist’s metabolic power while cycling at $7.3 m / s$ ?

c. The food calorie is equivalent to $4190 J .$ How many calories does the cyclist burn if he rides over level ground at $7.3 m / s f o r 1 h r$ ?

A 25 kg box sliding to the left across a horizontal surface is brought to a halt in a distance of 35 cm by a horizontal rope pulling to the right with 15 N tension. How much work is done by (a) tension and (b) gravity?

Evaluate the dot product $\overset{⇀}{A} . \overset{⇀}{B}$ ,if

a. $\overset{⇀}{A} = 3 \hat{i} + 4 \hat{j}$ and $\overset{⇀}{B} = 2 \hat{i} - 6 \hat{j}$

b. $\overset{⇀}{A} = 3 \hat{i} - 2 \hat{j}$ and $\overset{⇀}{B} = 6 \hat{i} + 4 \hat{j}$

a. Starting from rest, a crate of mass $m$ is pushed up a frictionless slope of angle $θ$ by a horizontal force of magnitude $F$ . Use work and energy to find an expression for the crate’s speed $v$ when it is at height $h$ above the bottom of the slope.

b. Doug uses a $25$ N horizontal force to push a $5.0$ kg crate up a $2.0$ -m-high, $20 °$ frictionless slope. What is the speed of the crate at the top of the slope?

Evaluate the dot product of the three pairs of vectors in Figure

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The two ropes seen in FIGURE are used to lower a 255kg piano 5.00m from a second-story window to the ground. How much work is done by each of the three forces?

Short Answer

Step by step solution

Step 1. Given Information

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The two ropes seen in FIGURE are used to lower a $255$ kg piano $5.00$ m from a second-story window to the ground. How much work is done by each of the three forces?