Question

During a car crash, you feel a force of about 100,000 N during a time of 0.01 seconds. Seat belts and airbags increase the time of a collision to spread out the force. If you increase the time to 0.1 seconds, what would the new force be?

Answer 1

To calculate the new force when the time is increased in a car crash, you can use the formula F = m * Δv / Δt, where F is the force, m is the mass, Δv is the change in velocity, and Δt is the change in time. By rearranging the formula and substituting the given values, you can calculate the mass and then find the new force.

Step-by-step explanation:

The force experienced during a car crash can be calculated using the formula F = m * Δv / Δt, where F is the force, m is the mass of the car, Δv is the change in velocity, and Δt is the change in time. In this case, the force is given as 100,000 N and the time is given as 0.01 seconds. We can rearrange the formula to solve for the mass: m = F * Δt / Δv. The mass of the car can then be used to calculate the new force when the time is increased to 0.1 seconds.

1. Calculating the mass:
   m = 100,000 N * 0.01 s / Δv
2. Calculating the new force:
   F = m * Δv / 0.1 s

By substituting the mass calculated in step 1 into the equation in step 2, we can find the new force when the time is increased to 0.1 seconds.