An aircraft of mass 1500 kg lands on the deck of an aircraft carrier. Class 9

An aircraft of mass 1500 kg lands on the deck of an aircraft carrier. Class 9

Question 1.

An aircraft of mass 1500 kg lands on the deck of an aircraft carrier. It stopped within 100 m on application of constant backward force of 367500 N with strong wire. What was the velocity of the aircraft just before application of backward force to stop it? Class 9

Answer:

Let the initial velocity = v and final velocity when it stops = 0

Initial kinetic energy of the aircraft is

Fig: A jet aircraft landing on

K = 1/2 mv² = 1/2 × 15000 × v²

Final kinetic energy = 0

Change in kinetic energy = 0 - 1/2 × 15000 × v²

Work done on an object = change in its energy

Work done by the force is negative when displacement is in the opposite direction of the force.

W = F × s = 367500 × (-100)

367500 × (-100)= - 1/2 × 15000 × v² ; v = 70 m/s