Question

From rest, we step on the gas of our Ferrari, providing a force F for 40 m, speeding it up to a final speed 50 km/hr. If the same force would be applied for 80 m, what final speed would the car reach?

Answer 1

By applying the work-energy principle and doubling the distance in the original equation, we can solve for the new final velocity when the same force is applied over 80 m instead of 40 m, assuming the force remains constant.

Step-by-step explanation:

The student's question involves finding the final speed of a Ferrari after applying the same force over a different distance. To solve this, we utilized the work-energy principle, which states that the work done by the forces on an object equals the change in kinetic energy of that object.

The original problem gave us an initial velocity (rest) and a final velocity (50 km/hr) with a force applied over 40 m. To find the final velocity when the force is applied over 80 m, we would double the distance in the work-energy equation and solve for the new final velocity.

The mechanics behind this problem lie in classical mechanics, a fundamental part of physics. The solution necessitates an understanding of kinetic energy and work, as well as the ability to convert units and apply algebraic manipulation.