Have 2 identical cars each 1000kg at a speed of 20m/s. The yellow car is stopped by car's brakes in 25m while green car is stopped by concrete barrier in 1.2m. Drivers have same mass(70kg) Driver of yellow car is stopped by seatbelt in 0.150 sec.
Compare impulse they received in stopping. Would that be 70 * (0-20)for yellow car
Green car it would be 70 * (0-20)
How do I calculate average force exerted on each driver?
To calculate the average force exerted on each driver, you can use the formula for impulse:
Impulse = Force x Time
Impulse is equal to the change in momentum, which can be calculated as:
Impulse = Mass x (Final Velocity - Initial Velocity)
Since both cars have the same mass and initial velocity, we can simplify the equation to:
Impulse = Mass x Final Velocity
For the yellow car:
Impulse = 70 kg x (0 m/s - 20 m/s)
Impulse = -1400 kg·m/s
For the green car:
Impulse = 70 kg x (0 m/s - 20 m/s)
Impulse = -1400 kg·m/s
Therefore, the impulse received by each driver is the same for both the yellow car and the green car, which is -1400 kg·m/s.
Now, to calculate the average force exerted on each driver, you need to divide the impulse by the time it takes to stop.
For the yellow car:
Average Force = Impulse / Time = -1400 kg·m/s / 0.150 s
Average Force = -9333.33 N
For the green car:
Average Force = Impulse / Time = -1400 kg·m/s / 0.150 s
Average Force = -9333.33 N
Therefore, the average force exerted on each driver is calculated to be -9333.33 Newtons.
To calculate the average force exerted on each driver, you can use the formula:
Force = Change in momentum / Time
First, let's calculate the change in momentum for each car:
For the yellow car:
Mass of car = 1000 kg
Initial velocity = 20 m/s
Final velocity = 0 m/s (since it is stopped)
Change in momentum = Mass x (Final velocity - Initial velocity)
Change in momentum = 1000 kg x (0 m/s - 20 m/s) = -20,000 kg·m/s
For the green car:
Mass of car = 1000 kg
Initial velocity = 20 m/s
Final velocity = 0 m/s (since it is stopped)
Change in momentum = Mass x (Final velocity - Initial velocity)
Change in momentum = 1000 kg x (0 m/s - 20 m/s) = -20,000 kg·m/s
Now, let's calculate the average force for each driver:
For the yellow car driver:
Mass of driver = 70 kg
Time = 0.150 s
Force = Change in momentum / Time
Force = (-20,000 kg·m/s) / (0.150 s) = -133,333.33 N
For the green car driver:
Mass of driver = 70 kg
Time = Time taken to stop (not provided in the question)
Force = Change in momentum / Time
Since the time taken to stop for the green car driver is not given, we cannot calculate the average force without that information. Please provide the time taken to stop for the green car driver so that we can calculate the average force.