Two objects are moving in the x, y plane as shown. If a net torque of 44 N∙m acts on them for 5.0 seconds, what is the change in their angular momentum?

Explanation:

Torque can be defined as the rate of change of angular momentum

Step one:

We need to solve for the total angular momentum acting on them

the expression for the angular momentum is given as      

L=mrv1    

where

L=angular momentum

m=mass

v=velocity

r=radius

Step two:

For the first object

m=6kg

r=1m

v=2m/s

L1=6*1*2= 12kg*m^2/s

For the second object

m=3kg

r=2m

v=3m/s

L2=3*2*3= 18kg*m^2/s  

Step three:

Total angular momentum= L1+L2= 12+18= 30kg*m^2/s        

τ=44Nm

time= 5 secs

ΔL=τ*time  

ΔL=44*5=220N-ms

hence the angular impulse=220Nms

Change in their angular momentum= Angular impulse-angular momentum

Change in their angular momentum= 220-30

Change in their angular momentum=190kg*m^2/s  

they should be similar or the same

it's a b and