Question

An object with a mass of 9.0kg has an acceleration of 3m/s the force acting on it is 3n

True or false?

Answer 1

False

Step-by-step explanation:

This can be proved through the simple force formula,
`\displaystyle{\sum \vec F = m\vec a }`.
`\displaystyle{\sum \vec F}` stands for net force, m is mass and
`\displaystyle{\vec a}` is acceleration.

As you see, force is equal to mass times acceleration. If we substitute mass = 9.0 kg and acceleration = 3 m/s² then we will have:

`\displaystyle{\sum \vec F = 9.0 \, \text{kg} \, * \, 3 \, \text{m/s}^2}`

This will result:

`\displaystyle{\sum \vec F = 27 \, \text{kg}\cdot \text{m/s}^2}\\\\\displaystyle{\sum \vec F = 27\, N}`

Therefore, the force acting on the object should equal 27 N, not 3 N.