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

A locomotive of mass m starts moving so that its velocity varies as v=αs2/3, where α is a constant and s is the distance traversed. The total work done by all the forces acting on the locomotive during the first t second after the start of motion is

A
18mα4t2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
mα6t4162
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
mα6t481
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
mα4t2162
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B mα6t4162
v=αs2/3
dsdt=αs2/3
s0dss2/3=t0αdt3s1/3=αt
s=α327t3ds=α39t2dt
v=α39t2
W=12mv2=12m(α3t29)2=mα6t4162

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Kinetic Energy and Work Energy Theorem
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon