To calculate the velocity of the cyclist, we need to use the equation for kinetic energy:
Kinetic energy (KE) = 1/2 * mass * velocity^2
Given that the cyclist has 4,100J of energy and weighs 82 kg, we can rearrange the equation to solve for velocity:
4,100J = 1/2 * 82kg * velocity^2
Let's solve for velocity:
Divide both sides by 1/2 * 82kg:
8,200J / (1/2 * 82kg) = velocity^2
100J/kg = velocity^2
Take the square root of both sides:
√(100J/kg) = √(velocity^2)
√100J/kg = velocity
10 m/s ≈ velocity
Therefore, the velocity of the cyclist is approximately 10 m/s.
A cyclist on a bike has 4,100J of energy. if the bicycle and cyclist weight 82 kg the velocity of cyclist is
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