If the sum of the forces exerted on a 4.5-kg tool accelerates it at 40 m/s²,what acceleration would that same sum of the forces give to an 18-kg tool? A)180 m/s² B)10 m/s² C)160 m/s² D)9.8 m/s² E)32 m/s²

Question

Quizplus · Accepted Answer

According to Newton's second law F=ma, the acceleration is directly proportional to the force and inversely proportional to the mass. Therefore, if the force remains the same and the mass increases, the acceleration will decrease. Using the formula a=F/m, we can calculate the acceleration for the 18-kg tool:

a = F/m = (sum of forces)/m = (40 m/s^2)/(18 kg) = 2.22 m/s^2

Therefore, the correct answer is B) 10 m/s^2 (rounded to one significant figure).

If the Sum of the Forces Exerted on a 4