Question

A man and his bike are 95 kg. His instantaneous speed at one point is 14m/s. The next time his speed is

checked he is going 28m/s. If the second speed was taken 7 seconds later, what force must the man have given
his bike to change the speed? What was the bicyclist's final momentum?

Answer 1

The force required to change the speed of the man and his bike is 190 N. The final momentum of the man and his bike is 2660 kg×m/s.

Step-by-step explanation:

To calculate the force required to change the speed of the man and his bike, we can use the formula:

Force = Mass × Acceleration

Acceleration is the change in velocity divided by the time it takes, so we can calculate it using the given information:

Acceleration = (Final Speed - Initial Speed) / Time

Plugging in the values and solving, we find:

Acceleration = (28 m/s - 14 m/s) / 7 s = 2 m/s²

Now we can calculate the force:

Force = 95 kg × 2 m/s² = 190 N

To find the final momentum of the man and his bike, we can use the formula:

Momentum = Mass × Velocity

Plugging in the values, we get:

Momentum = 95 kg × 28 m/s = 2660 kg×m/s