Q1.
A block of mass \(m\) attached to spring executes SHM. If total energy is doubled and spring constant unchanged, amplitude becomes
Q2.
A particle of mass \(m\) moves under a conservative force with potential energy \(U(x)=ax^2+bx^4\), where \(a,b>0\). Frequency of small oscillation about equilibrium position is
Q3.
A spring of force constant \(k\) is cut into two equal parts. Equivalent spring constant when connected in series is
Q4.
A block of mass \(m\) connected to spring constant \(k\) on smooth horizontal surface is compressed by \(A\). Maximum speed attained by block is
Q5.
A body of mass \(m\) moving with speed \(u\) collides elastically with another body of mass \(m\) at rest. Fraction of initial kinetic energy retained by first body after collision is
Q6.
A particle moves in one dimension under potential energy \(U=ax^2-bx\). Position of stable equilibrium is
Q7.
A particle of mass \(m\) under central force \(F=-kr\) moves in circular orbit radius \(r\). Total energy is
Q8.
A particle moving under force \(F=ax\) starts from rest at origin. Time dependence of kinetic energy is
Q9.
A force on particle is \(F=\frac{k}{x^2}-\frac{k}{4a^2}\). Equilibrium position is
Q10.
A particle moves with speed \(v\) under force \(F\). If power is constant, acceleration varies as