Rank these automobiles based on the magnitude of the impulse needed to stop them, from largest to smallest.
2000 kg car going 5m/s
500 kg car going 20 m/s
1000 kg car going20m/s
500 kg car going10m/s
1000 kg car going10/s
4000 kg car going 5m/s
figure mv for each car.
To rank these automobiles based on the magnitude of the impulse needed to stop them, we need to calculate the impulse for each car and compare the values. The impulse is the product of the mass and the change in velocity. Here's how you can calculate it:
1. 2000 kg car going 5 m/s:
Impulse = Mass × Change in velocity = 2000 kg × (0 - 5 m/s) = -10,000 kg⋅m/s
2. 500 kg car going 20 m/s:
Impulse = Mass × Change in velocity = 500 kg × (0 - 20 m/s) = -10,000 kg⋅m/s
3. 1000 kg car going 20 m/s:
Impulse = Mass × Change in velocity = 1000 kg × (0 - 20 m/s) = -20,000 kg⋅m/s
4. 500 kg car going 10 m/s:
Impulse = Mass × Change in velocity = 500 kg × (0 - 10 m/s) = -5,000 kg⋅m/s
5. 1000 kg car going 10 m/s:
Impulse = Mass × Change in velocity = 1000 kg × (0 - 10 m/s) = -10,000 kg⋅m/s
6. 4000 kg car going 5 m/s:
Impulse = Mass × Change in velocity = 4000 kg × (0 - 5 m/s) = -20,000 kg⋅m/s
Now, let's rank them based on the magnitude of the impulse needed to stop them:
1. 4000 kg car going 5 m/s
2. 1000 kg car going 20 m/s
3. 1000 kg car going 10 m/s
4. 500 kg car going 20 m/s
5. 2000 kg car going 5 m/s
6. 500 kg car going 10 m/s
Note that the negative sign in front of the impulse values represents the opposite direction of the initial velocity. We can ignore it while comparing magnitudes.