A person weighs 167 lb. The acceleration of gravity is 9.8 m/s 2 . Determine her weight in newtons and her mass in kilograms

Considering the change of units and the definition of weightm the weight is 742.8494 N and the mass is 75.80kg

On one side, 1 lb equals 4.4482 Newtons. So, to determine the weight in Newtons you can apply the following rule of three: if 1 lb equals 4.4482 Newtons, 167 lb equals what amount in Newtons?

weight= 742.8494 N

On the other side, mass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.

The mass of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.

Weight is calculated as the product of the object's mass and the value of the gravitational acceleration:

W= m×g

In this case, you know:

Then:

742.8494 N= m× 9.8 m/s²

Solving:

m=742.8494 N÷ 9.8 m/s²

m= 75.80 kg

Finally, the weight is 742.8494 N and the mass is 75.80kg

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Explanation:

Weight (N) = Mass * Acceleration

75.74 kg = Mass * 9.8 m/sec^2

Mass = 7.72 kg

Weight = 75.74 N

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