Show that $K = \dfrac{\overrightarrow p \cdot \overrightarrow p}{2m}$. What is the change in momentum of a 3.0-kg ball moving at 3.0 m/s perpendicular to a wall rebounding from the wall at 1.75 m/s? What is the momentum (as a function of time) of a 5.0-kg particle moving with a velocity $v(t)=(3\hat{i}+\dfrac{4t}{s}\hat{j})m/s$? What is the net force acting on this particle? A man is marooned at rest on level frictionless ice. In desperation, he hurls his shoe to the right at 20 m/s. If the man weighs 740 N and the shoe weighs 6.0 N, what is the speed with which the mans leaves to the left? A 5-kg object can move along the x axis. It is subjected to a force F⃗ in the positive x direction; a graph of F as a function of time t is shown below. Over the time the force is applied, what is the change in the velocity of the object?