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Grade 11Discuss with colleagues and IITians

Q.1 A body is moved along a str. line by a machine delivering a constant power . The distance travelled by the body in time t is proportional to
  1. t ^3/4
  2. t^3/2
  3. t^1/4
  4. t^1/2 Q2. The potential energy of a 1 kg particle free to move along the x – axis is given by ( X^4/4 – X^2/2) ,then the maximuim speed in m/s is a 3/ squareroot 2 b. 2^ ½ c. 2

Profile image of muktesh singh
11 Years agoGrade 11
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1 Answer

Profile image of Nirmal Singh.
11 Years ago
Dear Students Please post question one by one.

Ques.1 – -

Power Deliver is constant so P = constat

From work energgy theoru, we know that W = change in kinetic Energy = 0.5 m v2

So Power P = W / t

P = 0.5 m v2 / t

v= sqrt (2 Pt / m)

v = dx / dt =d / dt [sqrt (2 Pt / m)]

integral of dx = intergral ofsqrt (2 Pt / m) dt

so x = 2 /3 sqrt (2P/m) t3/2

Hence x is directly proprtaional to t3/2

Option (2) is correct

Regards,
Nirmal Singh
Askiitians Faculty