Final answer:
To find out how much work the cart did, calculate the force exerted using the mass and acceleration, then multiply by the distance traveled. The cart does 12500 joules of work during the 25m sprint.
Step-by-step explanation:
The question asks to find out how much work did the cart do when a go-cart and rider with a mass of 100kg accelerates at 5 m/s² during a 25m sprint. Work can be calculated by the formula Work = Force × Distance. Here, force can be derived from the mass (100 kg) and the acceleration (5 m/s²) by using Newton's second law (Force = Mass × Acceleration). First, calculate the force as Force = 100 kg × 5 m/s² = 500 N. Then, calculate the work done using the distance the cart travels, which is Work = Force × Distance = 500 N × 25 m = 12500 J (joules). Therefore, the cart does 12500 joules of work during the sprint.