The displacement of an object of mass 3 kg is given by the relation S = 1 3 t 2 , where t is time in seconds. If the work done by the net force on the object in 2 s is p q joule , where p and q are smallest integer values, then what is the

Question

The displacement of an object of mass 3 kg is given by the relation S = 1 3 t 2 , where t is time in seconds. If the work done by the net force on the object in 2 s is p q joule , where p and q are smallest integer values, then what is the value of p + q ?

Quantrex Academy · Accepted Answer

Correct answer: 11

S = t 2 3 v = d S d t d S d t = 2 3 t = v ; W = ∆ K = K t = 2 - K t=0 W= 1 2 m v t = 2 2 - v t = 0 2 = 1 2 ⋅ 3 16 9 - 0 = 8 / 3 J ⇒ p + q = 11

The displacement of an object of mass 3 kg is given by the relation S = 1 3 t 2 , where t is time in seconds. If the work done by the net force on the object in 2 s is p q joule , where p and q are smallest integer values, then what is the value of p + q ?

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