A ball of mass m travelling with velocity (3ˆi+4ˆj) m/s receives an impulse J=−(2mˆ)i N-s. The magnitude of velocity of the ball immediately after receiving impulse is
A
√17m/s
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
√41m/s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4m/s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5m/s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A√17m/s Given:
mass of ball; m
Initial velocity; vi=(3ˆi+4ˆj) m/s
Impulse, J=−(2m)ˆi N-s
Impulse, (J)=ΔP=m(vf)−m(vi)=m(vf−vi) −2mˆi=m(vf−(3ˆi+4ˆj)) vf=ˆi+4ˆj m/s ∣∣vf∣∣=√12+42=√17 m/s