Numerical - Mass of moving body along straight line

Q.  Force of 150 N moves a body in 5 sec along a straight line according to x = t3 - 60t. What is the mass of the moving body?
- Published on 21 Sep 15

a. 17.23 kg
b. 15.23 kg
c. 15 kg
d. 5 kg

ANSWER: 5 kg

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    Discussion

  • Sravanthi   -Posted on 15 Dec 15
    Given: Force applied = 150 N, x = t3 - 60t

    Solution:

    x = t3 – 60t

    (dx / dt) = v = 3 t2 - 60

    (dv / dt) = a = 6 t

    when t = 5, a = 30 m/s2

    Force = mass x acceleration

    150 = mass x 30

    Mass of the moving body = 5 kg

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