An object has an acceleration of 3 m/s2 when a single force of magnitude F 0 act

Question

An object has an acceleration of 3 m/s2 when a single force of magnitude F 0 acts on it.

(a) What is the magnitude of its acceleration when the magnitude of this force is doubled?

(b) A second object experiences an acceleration of magnitude 9 m/s2 under the influence of a single force of magnitude F 0 . 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 F 0 produce?

Explanation / Answer

a) as f =ma

a0/a1=f0/f1

a0=3 m/s2

given

f1=2f0

ai=2a0=6 m/s2

b)

now f0=m0a0=m1a1

m1/m0=3/9=0.333

c)

a=f0/(m0+m1)=m0a0/(m0+3/9m0)

solving a=2.25m/s2

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