The forces shown in the force vs. time diagram in the figure below act on a 1.8-

Question

The forces shown in the force vs. time diagram in the figure below act on a 1.8-kg particle.

(a) Find the impulse for the interval from t = 0 to t = 3.0 s.
N ? s

(b) Find the impulse for the interval from t = 0 to t = 5.0 s.
N ? s

(c) If the forces act on a 1.8-kg particle that is initially at rest, find the particle's speed at t = 3.0 s.
m/s

(d) If the forces act on a 1.8-kg particle that is initially at rest, find the particle's speed at t = 5.0 s.
m/s

The forces shown in the force vs. time diagram in the figure below act on a 1.8-kg particle. (a) Find the impulse for the interval from t = 0 to t = 3.0 s. N s (b) Find the impulse for the interval from t = 0 to t = 5.0 s. N s (c) If the forces act on a 1.8-kg particle that is initially at rest, find the particle's speed at t = 3.0 s. m/s (d) If the forces act on a 1.8-kg particle that is initially at rest, find the particle's speed at t = 5.0 s. m/s

Explanation / Answer

Part A)

Impulse equals the area under the curve

Impulse = 4(3) = 12 Ns

Part B)

Impulse = 4(3) - 2(2) = 8 Ns

Part C)

Impulse = m(delta v)

12 = 1.8(v)

v = 6.67 m/s

Part D)

8 = 1.8v

v = 4.44 m/s

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