1. A 6 kg rock is thrown by Svien with a velocity of 10 m/s. What is the kinetic energy of the rock?2. Micheal has 475 J of energy while in motion. If Micheal is moving at 30.0 m/s, what is hismass?3. Miggy, a professional platform diver, had a kinetic energy of 15,000J just prior to hitting thebucket of water. If Miggy’s mass is 50kg, what was her velocity?
Question
- A 6 kg rock is thrown by Svien with a velocity of 10 m/s. What is the kinetic energy of the rock?2. Micheal has 475 J of energy while in motion. If Micheal is moving at 30.0 m/s, what is hismass?3. Miggy, a professional platform diver, had a kinetic energy of 15,000J just prior to hitting thebucket of water. If Miggy’s mass is 50kg, what was her velocity?
Solution
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The kinetic energy (KE) of an object can be calculated using the formula KE = 1/2 * m * v^2, where m is the mass and v is the velocity. In this case, the mass (m) is 6 kg and the velocity (v) is 10 m/s.
KE = 1/2 * 6 kg * (10 m/s)^2 KE = 1/2 * 6 kg * 100 m^2/s^2 KE = 300 Joules
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The kinetic energy (KE) of an object can also be rearranged to solve for mass (m) using the formula m = 2KE/v^2. In this case, the kinetic energy (KE) is 475 Joules and the velocity (v) is 30.0 m/s.
m = 2*475 J / (30.0 m/s)^2 m = 950 J / 900 m^2/s^2 m = 1.05 kg
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The kinetic energy (KE) of an object can also be rearranged to solve for velocity (v) using the formula v = sqrt(2KE/m). In this case, the kinetic energy (KE) is 15,000 Joules and the mass (m) is 50 kg.
v = sqrt(2*15000 J / 50 kg) v = sqrt(600 m^2/s^2) v = 24.49 m/s
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