Question

A particle with a mass of 1.36 kg is acted on by a force $F_x$ acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. $F_x$ (N) 8 6 4 2 1 2 3 4 5 $t$ (s) (a) impulse of the force kg \cdot m/s (b) final velocity of the particle if it is initially at rest m/s (c) Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of -2.20 m/s. m/s Additional Materials

          A particle with a mass of 1.36 kg is acted on by a force $F_x$ acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.
$F_x$ (N)
8
6
4
2
1
2
3
4
5
$t$ (s)
(a) impulse of the force
kg \cdot m/s
(b) final velocity of the particle if it is initially at rest
m/s
(c) Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of -2.20 m/s.
m/s
Additional Materials

A particle with a mass of 1.36 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.
Fx (N)
8
6
4
2
1
2
3
4
5
t (s)
(a) impulse of the force
kg ·m/s
(b) final velocity of the particle if it is initially at rest
m/s
(c) Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of -2.20 m/s.
m/s
Additional Materials

Added by Andrea T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Jake Knight

12/12/2023

Step 1

The curve is a trapezoid with bases of length 2 s and 3 s and height 8 N. The area of the trapezoid is: $Area = \frac{1}{2}(b_1 + b_2)h = \frac{1}{2}(2 + 3)(8) = 20 Ns$ The impulse is equal to the change in momentum: $Impulse = \Delta p = m\Delta v = 20 Ns$ Show more…

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A particle with a mass of 1.36 kg is acted on by a force $F_x$ acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. (a) impulse of the force kg $\cdot$ m/s (b) final velocity of the particle if it is initially at rest m/s (c) Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of -2.20 m/s. m/s