AP EAMCET202316 May 2023Evening ShiftPhysicsWork, Power and EnergyActual
The kinetic energy of a car is doubled when its velocity is increased by 1 ~ms ⁻¹ . Then the initial velocity of the car is
Options
- A(2+ 2 ) ms ⁻¹
- B(1- 2 ) ms ⁻¹
- C(2- 2 ) ms ⁻¹
- D(1+ 2 ) ms ⁻¹
Correct answer
D. (1+ 2 ) ms ⁻¹
Step-by-step solution
Let initial velocity = v When velocity is increases by 1 ~m / s v ^ = v +1 then KE =2 E 2 E E = 1 2 ~m ( v +1)^2 1 2 mv ^2 2 v ^2=( v +1)^22 v^2=v^2+1+2 v aligned & v^2-2 v-1=0 v= 2 4+4 2 & = 2 2 2 2 =1+ 2 ~m / s aligned