Question

The force involved in a collision is 1.0 × 10² newtons. The duration of the impact is 1.0 × 10⁻⁴ seconds. What is the value of the change in momentum?

1) 1.0 × 10¹ kilogram meters/second
2) 1.0 × 10⁻¹ kilogram meters/second
3) 1.0 kilogram meters/second
4) 1.0 × 10⁻² kilogram meters/second

Answer 1

The change in momentum, also known as impulse, is calculated by multiplying force by the time interval. The given values result in a change in momentum of 1.0 × 10⁻² kilogram meters/second, which corresponds to Option 4.

Step-by-step explanation:

The force involved in a collision is given as 1.0 × 10² newtons, and the duration of the impact is 1.0 × 10⁻⁴ seconds. The value of the change in momentum, which is equivalent to the impulse, can be calculated using the relationship: impulse (Δp) equals force (F) times time (Δt). So, the change in momentum (Δp) is computed as follows:

Δp = F × Δt
= (1.0 × 10² N) × (1.0 × 10⁻⁴ s)
= 1.0 × 10⁻² kg·m/s

Thus, the value of the change in momentum is 1.0 × 10⁻² kilogram meters/second (Option 4).