1. Given:
Kinetic Energy (KE) = 5 J
Mass (m) = 1.25 kg
velocity^2 = (2 * KE) / mass
velocity^2 = (2 * 5 J) / 1.25 kg
velocity^2 = 10 J / 1.25 kg
velocity^2 = 8 m^2/s^2
velocity = √(8 m^2/s^2)
velocity ≈ 2.83 m/s
2. Given:
Mass (m) = 17 kg
Velocity (v) = 2 m/s
KE = 0.5 * 17 kg * (2 m/s)^2
KE = 0.5 * 17 kg * 4 m^2/s^2
KE = 34 J
3. Given:
Mass (m) = 3.5 kg
(PE) = 86 J
Gravity (g) = 9.8 m/s^2
height = PE / (mass * gravity)
height = 86 J / (3.5 kg * 9.8 m/s^2)
height ≈ 2.42 meters
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Answers & Comments
1. Given:
Kinetic Energy (KE) = 5 J
Mass (m) = 1.25 kg
velocity^2 = (2 * KE) / mass
velocity^2 = (2 * 5 J) / 1.25 kg
velocity^2 = 10 J / 1.25 kg
velocity^2 = 8 m^2/s^2
velocity = √(8 m^2/s^2)
velocity ≈ 2.83 m/s
2. Given:
Mass (m) = 17 kg
Velocity (v) = 2 m/s
KE = 0.5 * 17 kg * (2 m/s)^2
KE = 0.5 * 17 kg * 4 m^2/s^2
KE = 34 J
3. Given:
Mass (m) = 3.5 kg
(PE) = 86 J
Gravity (g) = 9.8 m/s^2
height = PE / (mass * gravity)
height = 86 J / (3.5 kg * 9.8 m/s^2)
height ≈ 2.42 meters