A 20, 000 g car runs 60 km in 2 hours. What is the average momentum of the car? Determine the impulse.
I just need help in getting the impulse since there's no Force and change in velocity in the problem
You answered your own question. No momentum change, no impulse, no
F dt
To find the average momentum of the car, we need to use the formula for momentum:
Momentum (p) = Mass (m) x Velocity (v)
Given:
Mass of the car (m) = 20,000 g = 20 kg
Distance covered (d) = 60 km
Time taken (t) = 2 hours
First, we need to convert the distance from kilometers to meters, as the mass is given in kg. Since 1 km = 1000 m, we have:
60 km = 60,000 m
Next, we need to convert the time from hours to seconds, as the formula for momentum requires time in seconds. Since 1 hour = 3600 seconds, we have:
2 hours = 2 x 3600 = 7200 s
Now, we have all the required information to calculate the average momentum of the car:
Average Momentum (p) = Mass (m) x Velocity (v)
Velocity (v) = Distance (d) / Time (t)
Substituting the given values:
Velocity (v) = 60,000 m / 7200 s
Velocity (v) ≈ 8.33 m/s
Average Momentum (p) = 20 kg x 8.33 m/s
Average Momentum (p) ≈ 166.67 kg·m/s
So, the average momentum of the car is approximately 166.67 kg·m/s.
To determine the impulse, we need to use the formula:
Impulse (J) = Change in Momentum (Δp)
Since the average momentum represents the entire momentum during the 2-hour interval, the change in momentum is equal to the average momentum itself. Therefore:
Impulse (J) ≈ 166.67 kg·m/s
So, the impulse of the car is approximately 166.67 kg·m/s.