How fast is a 10 kg box going to be moving from rest after 3 seconds if a 200 N force is applied to the left and a 50 N force is applied to the right?
The resultant force applied to the box is:
The '-' sign is because the forces directed to the left and to the right are opposite. The resultant force is directed to the left, since "200N>50N".
According to the second Newton's law, the acceleration of the box is:
where "m = 10kg" is the mass of the box. According to the kinematic equation, the velocity of the box is given as follows:
where "v_0 = 0" is the initial velocity of the box (equal to 0 since it starts from rest), and "t = 3s" is the time. Thus, obtain:
Answer. 45 m/s.
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