Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
a raindrop of initial mass M0 starts falling from restunder the influence of gravity.the drop gains mass from the cloud at a rate proportional to the protect of its instantaneous mass and vrlocity,show that the drop eventually attains a terminal speed,determining it.
dF = dP/dTwhere F = mg, and P = mvMg = d(MV)/ dT = M dV/ d t + V dM/ d tsince dM/ d t = kMVkV2 + dV/d t = gThen we can see, as the drop falls, it’s velocity increases due to gravity. However, thereis a limit for this velocity because as the drop speeds up, its acceleration decreases rapidlyand will become negligible as the time goes to infinity. So the speed of the drop willeventually become constant.To compute the terminal constant speed, we could set dV/d t = 0 then we have k Vt2 = gVt = (g/k)
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -