A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate where v(t) is its instantaneous velocity. The instantaneous acceleration of the satellite is:
A particle moving in the plane experiences a velocity-dependent force
where
are the x and y components of its velocity
If
is the acceleration of the particle, then which of the following statements is true for the particle?
A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length l. The other end is fixed. The system is given an angular speed $\omega$ about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is :