A girl on a bicycle (total mass is 70 kg) is traveling at a speed of 8 m/s. What is the kinetic energy of the girl and the bicycle? *Show all work and include units!
Question
A girl on a bicycle (total mass is 70 kg) is traveling at a speed of 8 m/s. What is the kinetic energy of the girl and the bicycle? *Show all work and include units!
Solution
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * v^2
where: m is the mass of the object (in this case, the girl and the bicycle), and v is the velocity (or speed) of the object.
Given: m = 70 kg (mass of the girl and the bicycle) v = 8 m/s (speed of the girl and the bicycle)
Substituting these values into the formula, we get:
KE = 1/2 * 70 kg * (8 m/s)^2 = 1/2 * 70 kg * 64 m^2/s^2 = 2240 kg*m^2/s^2
Therefore, the kinetic energy of the girl and the bicycle is 2240 Joules (since 1 Joule = 1 kg*m^2/s^2).
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