wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A block of mass 2 kg initially at rest moves under the influence of a time-dependent force F=4t N ^i. The power developed by the force at t=2 second is

A
16 W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
32 W
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
48 W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
30 W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 32 W
Given, F =4t ^i

From Newton's 2nd law of motion, for a constant mass
F=ma
a=Fm

a=4t2 ^i=2t m/s2^i

v=t0 a dt=2t0t dt=t2v=t2^i

we know that, Power P=F.v=(4t ^i).(t2 ^i)=4t3 W

At, t=2 second,P=4(2)3=32 W

Hence option B is the correct answer

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Power
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon