| The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is [NEET 2014] |
 |
A) 24 Ns
B) 20 Ns
C) 12 Ns
D) 6 Ns
Correct Answer: C
Solution :
| The area under \[F-t\] graph gives change in momentum. |
| For 0 to \[2\,s,\,\,\Delta {{p}_{1}}=\frac{1}{2}\times 2\times 6=6kg-m/s\] |
| For 2 to 4 s, \[\Delta {{p}_{2}}=2\times (-3)=-6\,kg-m/s\] |
| For 4 to 8 s, \[\Delta {{P}_{3}}=(4)\times 3=+12kg-m/s\] |
| So, total change in momentum for 0 to 8 s |
| \[\Delta {{p}_{net}}=\Delta {{p}_{1}}+\Delta {{p}_{2}}+\Delta {{p}_{3}}=(+6-6+12)\] |
| \[=12kg-m/s=12Ns\] |
You need to login to perform this action.
You will be redirected in
3 sec
