Question

Compare the work required to accelerate a car of mass 2000 kg from 30.0 to 40.0 km/h with that required for an acceleration from 50.0 to 60.0 km/h.

a) More work is required for the first acceleration.
b) More work is required for the second acceleration.
c) The work required is the same for both accelerations.
d) The comparison depends on the time taken for acceleration.

Answer 1

To compare the work required for different accelerations, we use the formula Work = 0.5 * mass * (final velocity² - initial velocity²). After calculating, we find that more work is required for the second acceleration.

Step-by-step explanation:

To compare the work required for different accelerations, we need to use the formula:

Work = 0.5 * mass * (final velocity² - initial velocity²)

For the first acceleration from 30.0 to 40.0 km/h, the initial velocity is 30.0 km/h and the final velocity is 40.0 km/h. For the second acceleration from 50.0 to 60.0 km/h, the initial velocity is 50.0 km/h and the final velocity is 60.0 km/h.

By substituting the values into the formula, we can calculate the work required for each acceleration and compare them.

After calculating, we find that more work is required for the second acceleration (b).