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An object is accelerating at a rate of 8m/s^2 when it suddenly has a mass decreased by a factor of 4

User Martianwars
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1 Answer

19 votes
19 votes

Answer:

acceleration = 16 m/s²

Step-by-step explanation:

According to Newton's second law of motion, acceleration of an object is directly proportional to the net force acting on it keeping the mass of the object constant.

Mathematically,

F ∝ a

It means that When there is no net force acting on the body, there is no acceleration. A force is a push or a pull, and the net force ΣF is the total force, or sum of the forces exerted on an object in all directions. When the net force is increased or decreased by a factor of X, then acceleration also increased or decreased by a factor of X respectively according to Newton's 2nd law of motion. In our case, net force increased by a factor of 2, So acceleration must also increased by a factor of 2.

F = ma

F = 8m N

2F = 16m N

So,

acceleration = 16 m/s²

User Earon
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