A constant force is applied to an object, causing the object to accelerate at 10

Question

A constant force is applied to an object, causing the object to accelerate at 10 m/s2. What would the acceleration be if the following things were to happen, each from this initial state? (a) the force is divided by five
1           m/s2

(b) the object's mass is divided by five
2           m/s2

(c) the force and the object's mass are both divided by five
3      m/s2

(d) the force is divided by five and the object's mass is quintupled (a) the force is divided by five
1           m/s2

(b) the object's mass is divided by five
2           m/s2

(c) the force and the object's mass are both divided by five
3      m/s2

(d) the force is divided by five and the object's mass is quintupled

Explanation / Answer

a = F/m =10 m/s^2

1) a 1 = (F/5) / m = a/5 = 2m/s^2

2) a2 = F/ (m/5) = 5(F/m) =5*a= 5*10=50m/s^2

3) a3 = (F/5)/ (m/5) =F/m =10m/s^2

4) a4 = (F/5) / (5*m) = a / 25 = 0.4 m/s^2

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