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

Question

A constant force is applied to an object, causing the object toaccelerate at 10 m/s2. a.What will theacceleration be if the force is halved? b.What will theacceleration be if the object's mass is halved? c.What will theacceleration be if the force and the object's mass are bothhalved? d.What will theacceleration be if the force is halved and the object's mass isdoubled? a.What will theacceleration be if the force is halved? b.What will theacceleration be if the object's mass is halved? c.What will theacceleration be if the force and the object's mass are bothhalved? d.What will theacceleration be if the force is halved and the object's mass isdoubled?

Explanation / Answer

     The relation involved is F =ma    a = F/m = 10m/s2...............1 a) Here m = constant      F/2 = m x a' which gives a'= F/2m.........................................2         comparing 1 &2;       a' = a/2 = 5m/s2 b) Here F = constant           F =m/2 x a' which gives a' =2F/m.....................................3         comparing 1 &3;       a' = 2a = 20m/s2 c)    F/2 = m/2 x a' which gives a' =F/m.....................................4         comparing 1 &4;       a' = a = 10m/s2         d)    F/2 = 2m x a' which gives a' =F/4m.....................................5         comparing 1 &5;       a' = a/4 = 2.5m/s2

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