Question

The table below shows the same force acting on various masses and the resulting acceleration. Review the table.

Mass/Acceleration

100 kg 2 m/s2
75 kg 2.6 m/s2
60 kg 3.3 m/s2
40 kg 5 m/s2
20 kg 10 m/s2
5 kg 40 m/s2



What is the relationship between mass and acceleration as supported by the data table when acted on by a constant force?

A.) Mass is inversely proportional to acceleration
B.) Mass is directly proportional to acceleration
C.) Acceleration decreases when mass decreases
D.) Mass is unrelated to acceleration and motion

Answer 1

Answer:

A.) Mass is inversely proportional to acceleration

Explanation:

As the mass decreases the acceleration increases.

Answer 2

The relationship between mass and acceleration as supported by the data table when acted on by a constant force is : mass is inversely proportional to acceleration. The correct option is A.

What is acceleration?

Acceleration is defined as the rate change of velocity with time. acceleration a = (Δv) / (Δt)

The table below shows the same force acting on various masses and the resulting acceleration. Review the table.

Mass         Acceleration

100 kg        2 m/s2

75 kg         2.6 m/s2

60 kg         3.3 m/s2

40 kg         5 m/s2

20 kg         10 m/s2

5 kg           40 m/s2

Using Newton's second law, the net force will be

F = mass x acceleration

F = ma

or m = F/a

For a constant value of force, mass is inversely proportional to the acceleration.  So, the mass decreases,  the acceleration increases.

Thus, the correct option is A.

Learn more about acceleration.

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