Speeding Up: The Power of Work and Energy

How can we calculate the speed of a motorbike after work is performed on it?

Given that an engine performs 6400 J of work on a motorbike with a combined mass of 200 kg starting at rest.

Answer:

8 m/s

In order to determine the speed of the motorbike after work is performed on it, we can utilize the Kinetic Energy (KE) formula: KE = 1/2mv^2. This formula relates the kinetic energy of an object to its mass and velocity.

Given that the engine performs 6400 J of work on the motorbike and rider with a combined mass of 200 kg, we can substitute the values into the formula: 6400 = 1/2 * 200 * V^2.

Solving for velocity (V), we get: 6400 = 100 * V^2. Dividing by 100 on both sides gives us 64 = V^2. Taking the square root of both sides, we find that the speed of the motorbike is 8 m/s.

Therefore, after the work is performed on the motorbike, it will be moving at a speed of 8 meters per second, showcasing the transformative power of work and energy in motion.