please solve this dimension related question
Answers
Answer:
20 %. Ans.
Explanation:
I think it helps you a lot
Question:
A momentum of an object is increased by 10%. Then it's K.E will increase by?
Answer:
Explanation:
- Momentum of an object increased by 10%
- Increase in K.E
➸ Kinetic energy is given by the equation
K.E = p²/2m -------equation 1
where p is the momentum and m is the mass of the body.
➸ Initial momentum = p
➸ Final momentum = p + (10/100)×p
Final momentum = p + 0.1 p
Final momentum (p₁) = 1.1 p
➸ Put this in the equation for kinetic energy
➸ K.E = (p₁)²/2m
K.E₁ = (1.1p²)/2m
K.E₁ = 1.21 (p²/2m)
➸ From the first equation this part is given by the initial K.E
K.E₁ = 1.21 K.E
➸ Percentage change in K.E is given by
ΔK.E = K.E₁ - K.E/K.E × 100
➸ Substituting the given datas we get,
ΔK.E = 1.21 K.E - K.E/K.E × 100
ΔK.E = 0.21 × 100
ΔK.E = 21%
➺ K.E is defined as the energy possessed by a body due to its virtue of motion
➺ K.E = 1/2 × m × v²
➺ K.E = p²/2m