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Chapter 9: Q. 8 (page 227)

FIGURE is the kinetic-energy graph for a 2.0 kg object moving along the x-axis. Determine the work done on the object during each of the four intervals AB, BC, CD, and DE.

Short Answer

Expert verified

Work Done by

AB: $= - 4$ J

BC: $= 0$ J

CD: $= 2$ J

DE: $= 2$ J

Step by step solution

01

Step 1. Given Information

We have been given kinetic energy versus time graph

2.0 kg object moving along the x-axis.

02

Step 2. Find the work done

We will use the concept that change in kinetic energy is equal to work done.

$A B ∆ K_{A B} = K_{f A B} - K_{i A B} = 0 - 4 = - 4 J B C ∆ K_{B C} = K_{f B C} - K_{i B C} = 0 - 0 = 0 J C D ∆ K_{C D} = {K_{f}}_{C D} - K_{i_{C D}} = 2 - 0 = 2 J D E ∆ K_{D E} = K_{f D E} - K_{i} D E = 4 - 2 = 2 J$

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Most popular questions from this chapter

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 $\overset{⇀}{B} = 6 \hat{i} + 4 \hat{j}$

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A hydroelectric power plant uses spinning turbines to transform the kinetic energy of moving water into electric energy with $80 %$ efficiency. That is, $80 %$ of the kinetic energy becomes electric energy. A small hydroelectric plant at the base of a dam generates $50 M W$ of electric power when the falling water has a speed of $18 m / s$ . What is the water flow rate—kilograms of water per second—through the turbines?

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