Answer:
3.64 m
Explanation:
m = Mass of object = 70 kg
Kinetic energy of the object = 2500 J
g = Acceleration due to gravity = 
h = Height from which the object is dropped
Kinetic energy is given by

From conservation of energy we get kinetic energy equal to potential energy.

The object was released from a height of 3.64 m.
Answer:
The average velocity from 5 to 6 seconds is -27 m/s
Answer:
Vi = 24.14 m/s
Explanation:
If we apply Law of Conservation of Energy or Work-Energy Principle here, we get: (neglecting friction)
Loss in K.E of the Rock = Gain in P.E of the Rock
(1/2)(m)(Vi² - Vf²) = mgh
Vi² - Vf² = 2gh
Vi² = Vf² + 2gh
Vi = √(Vf² + 2gh)
where,
Vi = Rock's Speed as it left the ground = ?
Vf = Final Speed = 17 m/s
g = 9.8 m/s²
h = height of rock = 15 m
Therefore,
Vi = √[(17 m/s)² + 2(9.8 m/s²)(15 m)]
Vi = √583 m²/s²
<u>Vi = 24.14 m/s</u>
Answer:
1. Mass of the Earth is 5.97219 × 10^24 kg
2. Radius of the Earth is 6,371 km
3. Acceleration due to gravity on the surface of the Earth is 9.81 m/s^2
4. Acceleration due to gravity on the surface of the moon is 1.625 m/s^2
Explanation:
The mass and radius of Earth are <u>5.97219 × 10^24 kg</u> ME and <u>6,371 km</u> RE, respectively. The mass and radius of the Moon are approximately 186ME and 27RE, respectively. The acceleration due to gravity on the surface of Earth is <u>9.81 m/s^2</u> . The acceleration due to gravity on the surface of the Moon is most nearly <u>1.625 m/s^2</u>