First slide

Motion of centre of mass

Question

The velocity of the CM of a system changes from $\vec{v_{1}} = 4 \overset{⏞}{i} m / s$ to $\vec{v_{2}} = 3 \overset{⏞}{j} m / s$ during time $∆ t$ = 2s. If the mass of the system is m: l0 kg, the constant force acting on the system is:

Moderate

A

25 N
B

20 N
C

50 N
D

5 N

Solution

$\vec{F} = m \frac{∆ \vec{v_{cm}}}{∆ t}$ = $\frac{10 (3 \overset{⏞}{j} - 4 \overset{⏞}{i})}{2} = 5 (3 \overset{⏞}{j} - 4 \overset{⏞}{i})$
$| \vec{F} | = 5 \sqrt{3^{2} + 4^{2}} = 25 N$

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