Question

If the velocity of a body increases by three
times the ate for previous change in kinetic energy
a) 1500% b) 800% c) 15% d)900% %​

Answer 1

AnsWer :-

• Initial velocity = v
• Final velocity = v + 3v = 4v
• Mass = m

Kinetic Energy :-

• It's always non negative.
• It's a scalar quantity.
• It depends on frame of reference.
• It doesn't depend on direction of velocity.

Formula for calculating the Kinetic energy :-

• K.E = ½mv²

According to the Question :-

=> ∆K.E % = [(K.Ef - K.Eᵢ)/K.Eᵢ] × 100

=> ∆K.E % = [(½m(4v)² - ½m(v)²)/½m(v)²] × 100

=> ∆K.E % = [(16v² - v²)/v²] × 100

=> ∆K.E % = (15v²/v²) × 100

=> ∆K.E % = 15 × 100

=> ∆K.E % = 1500 %

• Hence,the option A) 1500% is the correct answer.