Most Important Selected Qs for JEE AdvancedPhysicsWork, Power and Energy
In the position shown, the spring is at its natural length. The block of mass m is given a velocity v₀ towards the vertical support at t=0 . The coefficient of friction between the block and the surface is given by: = x , where is a positive constant and x is the position of the block from its starting position. The block comes to rest for the first time at x =
Options
- Av₀ m k+ m g
- Bv₀ m k
- Cv₀ m m g
- Dnone of the above.
Correct answer
A. v₀ m k+ m g
Step-by-step solution
aligned & -v d v d x = (k+ m g) x m & - _ v₀ ^0 v d v= ( k+ m g m ) ₀^ x₀ x d x & x₀=v₀ m (k+ m g) aligned