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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The correct answer to the question is : D) 352.6 m/s.
CALCULATION :
As per the question, the temperature is increased from 30 degree celsius to 36 degree celsius.
We are asked to calculate the velocity of sound at 36 degree celsius.
Velocity of sound is dependent on temperature. More is the temperature, more is velocity of sound.
The velocity at this temperature is calculated as -
V = 331 + 0.6T m/s
= 331 + 0.6 × 36 m/s
= 331 + 21.6 m/s
= 352.6 m/s.
Here, T denotes the temperature of the surrounding.
Hence, velocity of the sound will be 352.6 m/s.
The acceleration is 12(m/s)/5.2s = 2.308m/s^2
F=ma, so
F=2200*2.308 = 5076.9N
Answer:
4.43 kW
Explanation:
Since Intensity I = P/A = E²/2cμ₀ where P = Power, A = Area = 4πr² where r = distance from source = 61 m and E = electric field amplitude = 8.45 V/m.
P = E²A/2cμ₀ = E²4πr²/2cμ₀ = 2πE²r²/cμ₀
= 2π(8.45 V/m)²(61 m)²/3 × 10⁸ m/s × 4π × 10⁻⁷ Tm/A
= 4428.1 W
= 4.4281 kW ≅ 4.43 kW
Answer:
The kinetic energy of the car at the top of the hill is 140280 Joules.
Explanation:
Mass of the car, m = 620 kg
Speed of the car, v = 24 m/s
Height of the hill, h = 30 m
The engine can produce up to 144,000 J of work during that time, W = 144,000 J
We need to find the kinetic energy of the car at the top of the hill. It can be calculated using conservation of mechanical energy as :
So, the kinetic energy of the car at the top of the hill is 140280 Joules. Hence, this is the required solution.
