Question

1. which of the following have same unit (a) momentum (b) impulse (c) force (d) kinetic energy (e) angular momentum (f) none of the above

Explanation:

Step1: Recall the formula and unit of momentum

Momentum $p = mv$, its SI - unit is $kg\cdot m/s$.

Step2: Recall the formula and unit of impulse

Impulse $J = F\Delta t$, and from Newton's second - law $F = ma$, so $J=ma\Delta t$. Substituting $a=\frac{\Delta v}{\Delta t}$, we get $J = m\Delta v$, and its SI - unit is $kg\cdot m/s$.

Step3: Recall the formula and unit of force

Force $F = ma$, its SI - unit is $N=kg\cdot m/s^{2}$.

Step4: Recall the formula and unit of kinetic energy

Kinetic energy $K=\frac{1}{2}mv^{2}$, its SI - unit is $J = kg\cdot m^{2}/s^{2}$.

Step5: Recall the formula and unit of angular momentum

Angular momentum $L = r\times p$, its SI - unit is $kg\cdot m^{2}/s$.

Answer:

A. momentum, B. impulse