A go-cart and rider have a mass of 100 kg. If the cart accelerates at 5 m/s2 during a 25 m sprint, how much work did the cart do?
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AnsWer :-
- We're given that, A go-cart and rider have a mass (m) of 100 kg. The cart Accelerates (a) at 5 m/s² during a 25 m sprint i.e displacement (s) is 25 m
- We need to find the work done by the go-cart.
Work done by the constant force is calculated by the given below formula :-
- Work done = Fs cosθ
But here we need to find the force first, Let's calculate the Force (F) :
→ Force (F) = mass (m) × Acceleration (a)
→ Force (F) = 100 × 5
→ Force (F) = 500 N
∴ Force applied by the go-cart is 500 N.
Now, let's find work done by the go-cart :-
↠Work done (W) = Fs cosθ
↠Work done (W) = 500 × 25 × cos(0°)
↠Work done (W) = 500 × 25 × 1
↠Work done (W) = 12,500 J
∴ Work done by the go-cart is 500 N.
Answered by
21
Question :
- A go-cart and rider have a mass of 100 kg. If the cart accelerates at 5 m/s2 during a 25 m sprint, how much work did the cart do?
Let's start :
- Force = mass × acceleration
- Force = 100 × 5
- Force = 500 N
Calculation of 500 N :
- Work done = Fs cos
- Work done = 500 × 25 × cos
- Work done = 500 × 25 × 1
- Work done = 12,500J
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