A 500 g ball swings in a vertical circle at the end of a 1.4-m-long string. when the ball is at the bottom of the circle, the tension in the string is 18 n.
C) Total Energy = Potential Energy + Kinetic Energy
Explanation:
The total energy of a system (also called mechanical energy) is given by:

where
PE is the potential energy
KE is the kinetic energy
The two types of energy have a different origin:
- Potential energy (PE) is the energy possessed by an object due to its position. It is commonly in the form of gravitational potential energy, which is the energy due to the position of the object in the gravitational field, defined as:

where m is the mass of the system, g the acceleration of gravity, h the heigth of the object relative to the ground
- Kinetic energy (KE), which is the energy possessed by an object due to its motion. It is calculated as

where m is the mass of the system and v is its speed.
Learn more about kinetic and potential energy:
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Answer:
W = 9533.09 Watt
Explanation:
given,
diameter of pipe inlet, d₁ = 10 cm
r₁ = 5 cm
diameter of pipe outlet, d₂ = 15 cm
r₂= 7.5 cm
head upto water level is to rise = 60 + 5
= 65 m
flow rate = 0.015 m³/s
we know
A₁ v₁ = A₂ v₂ = Q
π r₁² v₁ = π r₂² v₂ = 0.015


v₂ = 0.848 m/s
v₁ = 1.908 m/s
Applying Bernoulli's equation
P_p is the pump pressure
Power of the pump
W = P_p x Q
W = 635539.32 x 0.015
W = 9533.09 Watt
Explanation:
It is given that,
Wavelength of red light, 
Power of the laser, 
(a) The energy carried by each photon is given by :


(b) Let n is the number of photons emitted by the laser per second. It can be calculated as :


Hence, this is the required solution.