Answer:
Moment of inertia and angular velocity.
Explanation:
The translational kinetic energy of an object is possessed when the object is showing rotational motion. It can be given by the formula as :
Here,
I is the moment of inertia of the object
is the angular velocity of the object
So, the translational kinetic energy of an object is given by moment of inertia and angular velocity of the object. Hence, this is the required solution.
E = ½KA^2 is the mechanical energy of any oscillator. It is the sum of elastic potential energy and
kinetic energy. When amplitude A
decreases by 3%, then
(E2-E1)/E1 = {½K(A2^2/A1^2) }/ ½K(A1^2)
= {(A2^2 – A1^2) / (A1^2)}
= 97^2 – 100^2/100^2
= 5.91% of the mechanical energy is lost each cycle.
Answer:
4.41 × 10¹² J, 2.72 × 10³ m³, 0.907 × 10 ⁻³ m
Explanation:
Gravitational potential energy = mgh
where m is mass in kg, g is acceleration due to gravity in m/s², and h is the distance from the base of the dam.
mass of the surface water = density of water × volume of water × 1 m = 1000 kg / m³ × 3.0 × 10⁶ m² × 1 m = 3 × 10⁹ kg
Gravitational potential energy = 3 × 10⁹ kg × 9.81 m/s² × 150 m = 4.41 × 10¹² J
b)what volume of water must pass through the dam to produce 1000 kw-hrs
1 000 kw-hr = 3.6 × 10 ⁹ J
the dam has mechanical energy conversion of 90% to electrical energy
Gravitational potential energy needed = 3.6 × 10 ⁹ J / 0.9 = 4 × 10⁹ J
mass of water needed = Energy required / g h = 4 × 10⁹ J / (9.81 m/s² × 150 m) = 2.718 × 10 ⁶ kg
density = mass / volume
volume = mass / density = 2.718 × 10 ⁶ kg / (1000 kg/ m³) = 2.72 × 10³ m³
the distance the level of the water in the lake fell = volume / area = 2.72 × 10³ m³ / (3.0×10⁶ m²) = 0.907 × 10 ⁻³ m
Answer:
option (b)
Explanation:
According to the Pascal's law
F / A = f / a
Where, F is the force on ram, A be the area of ram, f be the force on plunger and a be the area of plunger.
Diameter of ram, D = 20 cm, R = 20 / 2 = 10 cm
A = π R^2 = π x 100 cm^2
F = 3 tons = 3000 kgf
diameter of plunger, d = 3 cm, r = 1.5 cm
a = π x 2.25 cm^2
Use Pascal's law
3000 / π x 100 = f / π x 2.25
f = 67.5 Kgf
Answer:
The correct option is;
The graduate cylinder with more water has more thermal energy because it is holding more water molecules
Explanation:
Given that the thermal energy of the system is the energy possessed by the system by virtue of the increased motion of the particles by virtue of a transfer of heat, when the content of the system is heated
The thermal energy, Q is given by the following equation;
Q = Mass, m × The specific heat capacity, C × The change in temperature, ΔT
Given that the graduated cylinder with more water has more mass and therefore, more water molecules, than the cylinder with less water, the cylinder with more water has more thermal energy.
