The percentage of mechanical energy of the oscillator lost in each cycle is 5.91 %.
The formula for mechanical energy in an oscillator is given by
E = 1/2 kA²
It is the sum of elastic potential energy and kinetic energy.
Amplitude is nothing but the maximum displacement moved by a point on vibrating body.
It is given that the amplitude A decreases by 3%, then
(E₂ - E₁) / E₁ = [1/2 k (A₂²- A₁²)] /(1/2 k A₁²) = (A₂²- A₁²)/ A₁² = (97² - 100²)/ 100²
⇒ 5.91% of the mechanical energy is lost in each cycle.
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Answer:
It cannot reach us by conduction or convection as there is no medium such as air in most part of the space between the earth and the sun. From the sun the heat comes to us by another process known as radiation. The transfer of heat by radiation does not require any medium.
The gases are like a mini air that helps them grow healthier
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Answer:
800 kg/m³
Explanation:
I assume you want to find the density of the sphere?
Start with a free body diagram. There are three forces acting on the sphere: gravity pulling the sphere down, buoyancy pushing the sphere up, and tension pulling the sphere down.
Applying Newton's second law:
∑F = ma
B - W - T = ma
Since the sphere isn't accelerating, a = 0.
B - W - T = 0
B = W + T
We know that the tension is one-fourth the weight:
B = W + W/4
B = 5/4 W
B = 5/4 mg
Buoyant force is defined as:
B = ρVg,
where ρ is the density of the fluid, V is the displaced volume, and g is acceleration of gravity.
ρVg = 5/4 mg
ρV = 5/4 m
The mass of the sphere is equal to its density times its volume. Since the sphere is fully submerged, it's volume is the same as the volume of the displaced water.
ρV = 5/4 ρₓV
ρ = 5/4 ρₓ
ρₓ = 4/5 ρ
So the density of the sphere is 4/5 the density of the water. Water's density is 1000 kg/m³, so:
ρₓ = 4/5 (1000 kg/m³)
ρₓ = 800 kg/m³