The force exerted on a 10-kg mass is given by
F = 10 + 2t
Where the units are SI. If the mass starts from rest, its velocity after 2 s is
A) 14 m/s
B) 2.0 m/s
C) 2.4 m/s
D) 0.20 m/s
E) 0.24 km/s

Question

Quizplus · Accepted Answer

Using Newton's second law, F = ma, we can find the acceleration of the mass at any time t by dividing both sides of the equation by the mass:

a = F/m = (10 + 2t)/10

To find the velocity after 2 seconds, we need to integrate the acceleration function over the time interval [0, 2]:

v = ∫ a dt = ∫ (10 + 2t)/10 dt

v = [10t/10 + t^2/10] from 0 to 2

v = (20/10 + 4/10) - (0 + 0)/10

v = 2.4 m/s

Therefore, the best choice is (C).

The Force Exerted on a 10-Kg Mass Is Given by