An object has an acceleration of 3.0 m/s 2 when a single force of magnitude F 0

Question

An object has an acceleration of 3.0 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?

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?

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

An object has an acceleration of 3.0 m/s when a single force of magnitude Fo acts on it. (a) What is the magnitude of its acceleration when the magnitude of this force is doubled? 6 m/s2 (b) A second object experiences an acceleration of magnitude 9.0 m/s- under the influence of a single force of magnitude Fo. What is the ratio of the mass of the second object to that of the first object? (mass of second /mass of first)-13 (c) If the two objects are glued together to form a composite object, what acceleration magnitude will a single force of magnitude Fo produce? 1.2 X m/s2 The acceleration of an object is related to its mass and the resultant force acting on it by Newton's second law

Explanation / Answer

Part C -
Mass of Object 1 =
m1 = F/a
m1 = Fo/3 Kg

Mass of Object 2 =
m2 = F/a
m2 = Fo/9 Kg

Now The two objects are Glued Together,
M = m1 + m2
M = Fo/3 + F0/9
M = 4Fo/9

Force = Fo
Acceleration = F/M
Acceleration = Fo/(4Fo/9)
Acceleration = 9/4 m/s^2
Acceleration = 2.25 m/s^2
Magnitude of Acceleration will a single force of magnitude F0 produce , a = 2.25 m/s^2

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