A 0.40-kg object is traveling to the right (in the positive direction) with a speed of 4.0 m/s. After a 0.20 s collision, the object is traveling to the left at 2.0 m/s. What is the magnitude of the impulse (in N-s) acting on the object

Respuesta :

Answer:

[tex]2.4 N\cdot s[/tex].

Explanation:

The equation that models the travel of the object is:

[tex]m \cdot v{o} + \Sigma F \cdot \Delta t = m \cdot v_{f}[/tex]

The impulse is:

[tex]\Sigma F \cdot \Delta t = m \cdot (v_{f} - v_{o})[/tex]

By replacing terms:

[tex]\Sigma F \cdot \Delta t = (0.40 kg) \cdot [- 2 \frac{m}{s} - 4 \frac{m}{s} ]\\\Sigma F \cdot \Delta t = - 2.4 N \cdot s[/tex]

The magnitude of the impulse acting on the object is [tex]2.4 N\cdot s[/tex].