The displacement 𝑥 in meter of a particle of mass 𝑚 kg moving in one dimension under the action of a force is related to the time 𝑡 in second by the equation 𝑡 = √𝑥 + 3, the work done by the force (in joule) in first six seconds is

May 11, 2022

by Ezee_Notes

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Physics Problems

Question: The displacement 𝑥 in meter of a particle of mass 𝑚 kg moving in one dimension under the action of a force is related to the time 𝑡 in second by the equation 𝑡 = √𝑥 + 3, the work done by the force (in joule) in first six seconds is

(A) 18 𝑚

(B) Zero

(D) 36 𝑚

Answer: Option (B)

Solution:

The displacement 𝑥 in meter of a particle of mass 𝑚 kg moving in one dimension under the action of a force is related to the time 𝑡 in second by the equation 𝑡 = √𝑥 + 3, the work done by the force (in joule) in first six seconds is