Question

1. if the initial velocity is 5 m/s and the final velocity is 15 m/s, what is the change in velocity?
2. what is the total time if the impulse is 100 n·s and the total force is 20 n?
3. what is the total force if the impulse is 200 n·s and the time is 10 s?

show your work:

1. if a mass of 5 kg has a change in velocity of 25 m/s, what is the total force applied over 5 seconds?

Explanation:

Question 4

Step1: Recall change in velocity formula

The formula for change in velocity ($\Delta v$) is $\Delta v = v_f - v_i$, where $v_f$ is final velocity and $v_i$ is initial velocity.

Step2: Substitute values

Given $v_i = 5\ \text{m/s}$ and $v_f = 15\ \text{m/s}$, so $\Delta v = 15 - 5 = 10\ \text{m/s}$.

Step1: Recall impulse formula

Impulse ($J$) is given by $J = F \times t$, where $F$ is force and $t$ is time. We need to find $t$, so rearrange the formula to $t=\frac{J}{F}$.

Step2: Substitute values

Given $J = 100\ \text{N·s}$ and $F = 20\ \text{N}$, so $t=\frac{100}{20}=5\ \text{s}$.

Step1: Recall impulse formula

Impulse ($J$) is $J = F \times t$, so to find force $F$, rearrange to $F=\frac{J}{t}$.

Step2: Substitute values

Given $J = 200\ \text{N·s}$ and $t = 10\ \text{s}$, so $F=\frac{200}{10}=20\ \text{N}$.

Answer:

The change in velocity is $10\ \text{m/s}$.

Question 5