Answer: The sum of an object's potential and kinetic energies is called the object's mechanical energy. As an object falls its potential energy decreases, while its kinetic energy increases. The decrease in potential energy is exactly equal to the increase in kinetic energy.
Inertia is a property of all the objects. Galileo stated that inertia is proportional to mass. Therefore, the answer is D.
This is a beautiful problem to test whether a student actually understands
Newton's 2nd law of motion . . . Force = (mass) x (acceleration).
That simple law is all you need to solve this problem, but you need to
use it a few times.
m₁ alone:
Force = (mass) x (acceleration)
36 N = ( m₁ ) x (6 m/s²)
m₁ = (36 N) / (6 m/s²)
m₁ = 6 kilograms .
m₁ and m₂ glued together:
Force = (mass) x (acceleration)
36 N = (6 kg + m₂) x (2 m/s²)
6 kg + m₂ = (36 N) / (2 m/s²) = 18 kilograms
m₂ = 12 kilograms .
m₂ alone:
Force = (mass) x (acceleration)
36 N = (12 kg) x (acceleration)
Acceleration = (36 N) / (12 kg)
Acceleration = 3 m/s²
Answer:
Explanation:
let t be time since the second diamond is released
a) y = ½g(t + 1)²
b) y' = ½g(t)²
c)
25 = ½g(t + 1)² - ½gt²
25 = ½g(t² + 2t + 1) - ½gt²
25 = ½gt² + gt + ½g - ½gt²
25 = g(t + ½)
t + ½ = 25 / g
t = (25 / g) - ½
t = (25 / 9.8) - ½
t = 2.05102... ≈ 2.1 s
Your pendulum does a complete swing in 1.9 seconds. You want to SLOW IT DOWN so it takes 2.0 seconds.
Longer pendulums swing slower.
You need to <em>make your pendulum slightly longer</em>.
If your pendulum is hanging by a thread or a thin string, then its speed doesn't depend at all on the weight at the bottom. You can add weight or cut some off, and it won't change the speed a bit.
