A) constant
B) proportional to \[v\]
C) proportional to \[{{v}^{2}}\]
D) inversely proportional to \[v\]
Correct Answer: A
Solution :
[a] \[KE\propto x\Rightarrow KE={{C}_{x}}\Rightarrow \frac{1}{2}m{{v}^{2}}\] \[~=Cx\frac{1}{2}m2v\frac{dv}{dt}=C\frac{dx}{dt}\Rightarrow mv\frac{dv}{dt}=Cv\] \[m\frac{dv}{dt}=C\Rightarrow ma=C\] \[\Rightarrow F=C\to \text{constant}\]
You need to login to perform this action.
You will be redirected in
3 sec
