Question

An object weigh 55.54 Newtons what is it's mass if a gravitometer indicates that G = 9.83 m/s²

A 0.18 KG

B 5 .67 kg

C 545.95 kg

Answer 1

Step-by-step explanation:

Weight = Mass * Gravitational force

55.54N = m * 9.83N/kg

Hence m = 55.54 / 9.83 = 5.67kg.

Answer 2

`\boxed{\boxed{\sf B. \ 5.67 \ kg}}`

Step-by-step explanation:

Weight is found by multiplying the mass by the gravitational acceleration.

`W=m*g`

The weight of the object is 55.54 Newtons and the gravitational acceleration is 9.83 m/s².

• Let's convert Newtons to make the problem simpler later.
• 1 Newton is equal to 1 kg*m/s²
• 55.54 Newtons is equal to 55.54 kg*m/s²

Therefore,

`W= 55.54 \ kg*m/s^2 \\g= 9.83 \ m/s^2`

Substitute the values into the formula.

`55.54 \ kg*m/s^2=m* 9.83 \ m/s^2`

Solve for the mass (m) by isolating the variable on one side of the equation. m is being multiplied by 9.83 m/s². The inverse of multiplication is division. Divide both sides of the equation by 9.83 m/s²

`(55.54 \ kg*m/s^2)/(9.83 \ m/s^2) =(m*9.83 \ m/s^2)/(9.83 \ m/s^2)`

`(55.54 \ kg*m/s^2)/(9.83 \ m/s^2) =m`

The m/s² will cancel each other out, hence the prior unit conversion.

`(55.54 \ kg)/(9.83)=m`

`5.650050865 \ kg=m`

This is about 5.67 kg, so B must be the correct answer.