A particle moves along a path defined by the equation $r = 2t^2\hat{i} + (3t - 1)\hat{j}$, where $r$ is in meters and $t$ is in seconds. At $t = 2$ seconds, a force $F = (4t\hat{i} + 6\hat{j})$ Newtons acts on the particle. What is the instantaneous power delivered by the force at $t = 2$ seconds?

A block of mass $m$ is attached to a spring with spring constant $k$ and is oscillating on a frictionless horizontal surface. If the amplitude of oscillation is $A$, the magnitude of the restoring force when the block is at a distance $x$ from the equilibrium position is given by:

A particle of mass 0.3 kg is subjected to a force $F = - kx\,with\,K = 15\,\,N/m$ . What will be

its initial acceleration if it is releases from a point 20 cm away from the origin

A particle is subjected to a force $F = (3x^2 - 2x + 1)\hat{i}$ N, where $x$ is in meters. What is the work done by this force in moving the particle from $x = 0$ to $x = 2$ m?

Sand is being dropped on a conveyor belt at the rate of M kg/s . The force necessary to keep the belt moving with a constant velocity of V m/s will be [newton]

A force is a:

Two forces of 5 N and 12 N act at a point. Which of the following cannot be the magnitude of their resultant?

A body is moving with uniform velocity. Which of the following statements is correct?

A student attempts to pull himself up by tugging on his hair. He will not succeed

A book rests on a table. Which force balances the weight of the book?

Two blocks of masses $m_1$ and $m_2$ are connected by a massless string over a frictionless pulley. $m_1$ rests on a rough inclined plane with an angle of inclination $heta$. The coefficient of static friction between the block and the plane is $\mu_s$. If the system is in equilibrium, which of the following is the correct range for the ratio $\frac{m_2}{m_1}$?