   Chapter 6, Problem 17P

Chapter
Section
Textbook Problem

The forces shown in the force vs. time diagram in Figure P6.17 act on a 1.5-kg particle. Find (a) the impulse for the interval from t = 0 to t = 3.0 s and (b) the impulse for the interval from t = 0 to t = 5.0 s. If the forces act on a 1.5-kg particle that is initially at rest, find the particle's speed (c) at t = 3.0 s and (d) at t = 5.0 s. Figure P6.17

(a)

To determine
Impulse of the force for t = 0 to t = 3.0s

Explanation

Given Info:

From the graph, width of the rectangle is 3.0s and height of the rectangle is 4.0N

The expression for impulse is

I=Arec

• I is the impulse,
• Arec is the area of rectangle,

From graph impulse is expressed as

I=wh

• w is the width of the rectangle,
• h is the height of the rectangle,

Substitute 3.0s for w and 4

(b)

To determine
The Impulse of the force for time period between 0 and 5.0 s

(c)

To determine
Final velocity of the particle at t=3.0s

(d)

To determine
Final velocity of the particle at t=5.0s

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