An object has an acceleration of 8.0 m/s2 when a single force of magnitude F0 ac

Question

An object has an acceleration of 8.0 m/s2 when a single force of magnitude F0 acts on it.
(a) What is the magnitude of its acceleration when the magnitude of this force is doubled?
m/s2

(b) A second object experiences an acceleration of magnitude 9.0 m/s2 under the influence of a single force of magnitude F0. What is the ratio of the mass of the second object to that of the first object?
(mass of second /mass of first) =

(c) If the two objects are glued together to form a composite object, what acceleration magnitude will a single force of magnitude F0 produce?
m/s2

Explanation / Answer

An object has an acceleration of 8.0 m/s2 when a single force of magnitude F0 acts on it.
(a) What is the magnitude of its acceleration when the magnitude of this force is doubled?
m/s2

16m/sec2

(b) A second object experiences an acceleration of magnitude 9.0 m/s2 under the influence of a single force of magnitude F0. What is the ratio of the mass of the second object to that of the first object?
(mass of second /mass of first) =8/9

as per the problem F0/m1=8m/sec2     F0=8m1--1

F0/m2=9m/sec2         F0=9m2-----2

from 1 and 2

8m1=9m2

so m2/m1=8/9

(c) If the two objects are glued together to form a composite object, what acceleration magnitude will a single force of magnitude F0 produce?
m/s2

from the above relations we have m1=9m2/8

so F0/[9m2/m1 +m2]=9m2/17m2/8=4.235m/sec2

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