Please help- Determine the relationship between potential and kinetic energy in a system.
1 answer:
Answer:
See the explanation below.
Explanation:
At the highest point is where potential energy is maximum and kinetic energy is zero.
Because potential energy is defined as the product of mass by gravitational acceleration by height, this is expressed within the following equation:
where:
Epot = potential energy [J]
m = mass [kg]
g = gravity acceleration [m/s²]
h = elevation [m]
As we can see, if the body is located at the highest point with respect to the ground, potential energy has the maximum value. Meanwhile, the kinetic energy is zero because there is no movement.
At the lowest point is where the kinetic energy is maximum and the potential energy es zero.
When the body is in the lowest location, the height is zero, therefore potential energy is zero (h = 0). But the body is moving with a certain velocity that is we have kinetic energy.
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Answer:
ft
Explanation:
First we will determine the acceleration of the bus while it is moving upward
The equilibrium equation would be
Let the displacement be
As per newton's third law of motion
Answer:
dR/dt = 10.2 ft / s
Explanation:
Let's work this problem by finding the distance between the balloon and the motorcycle and then drift for the speed change of the distance
Balloon
y = y₀ + t
Motorcycle
x = v₀ₓ t
Distance, let's use Pythagoras' theorem
R² = x² + y²
R² = (v₀ₓ t)² + (y₀ + t)²
v₀ₓ = 88 ft / s
= 8 ft / s
y₀ = 150 ft
R² = (8 t)² + (150 + 8 t )²
R² = 64 t² + (150 + 8t )²
This is the expression for the distance between the two bodies, the rate of change is the derivative with respect to time (d / dt)
2RdR / dt = 64 2 t + 2 (150 + 8t) 8
dR / dt = [64 t + (1200 + 64t )] / R
dR/dt = (1200 +128 t)/R
Let's calculate for the time of 10 s
dR / dt = (1200 + 128 10) / R = 2480 /R
R = √ [64 10² + (150 + 8 10)²
R = √ [6400 + 52900]
R = 243.5 ft
dR / dt = (2480) / 243.5
dR / dt = 10.2 ft / s
Answer:
Lilly's speed is two times John's speed.
Explanation:
m = Mass
a = Acceleration
t = Time taken
u = Initial velocity
v = Final velocity
The force they apply on each other will be equal
Hence, Lilly's speed is two times John's speed.