An object of $1 \, kg$ mass has a momentum of $10 \, kg \cdot m/s$. Then,the kinetic energy of the object will be .............. $J$.

$A$ toy car of mass $100 \,g$ is moving with a velocity of $(\hat{i}+2 \hat{j}-3 \hat{k}) \,m/s$. The kinetic energy of the car is: (in $\,J$)

$A$ $120\, g$ mass has a velocity $\vec v = 2\hat i + 5\hat j\, m/s$ at a certain instant. Its kinetic energy is .................. $J$.

The kinetic energy of a man is half that of a boy whose mass is half that of the man. If the man increases his speed by $1 \ m/s$,his kinetic energy becomes equal to that of the boy. What is the initial speed of the man?

Two bodies $A$ and $B$ having masses in the ratio of $3 : 1$ possess the same kinetic energy. The ratio of their linear momenta is then

The kinetic energy of a body moving along a straight line varies with time as shown in the figure. The force acting on the body is: