An object weighs 39.36 newtons What is its mass if a gravitometer indicates that g 9.83 msec2?

Answer 1

The "weight" of the object is expressed as a force 39.36 N where a Newton has units of kg .m. s-2 As the gravitometer is registering that the acceleration due to gravity is 9.83 m s-2 we can work out the mass of the object M as fllows

M.g =39.36

M= 39.36/9.83 = 4.004kgs

Looked at another way:

A 1kg mass would exert a force of :

1X 9.83 measuered in Newtons

The force observedcaused by the object (its weight) is 39.36 Newtons so we can work out the mass as

39.36/9.83 = 4.004 kgs

Note that the units are kgs because Newtons are defined in terms of a kg.

Answer 2

Force = Mass * g

In this case,

39.36 N or kg m per sec2 = Mass (kg) * 9.83 m per sec2

39.36 / 9.83 kg = Mass

4.00406 kg = Mass

You can round off Mass to 4 kg

Answer 3

A weight is a force. Newton's second law says F=ma. You want m, and a little elementary algebra shows that m = F/a. You know F (39.36 N, which is 39.36 kilogram-meters per second per second) You know a (9.83 meters per second per second).

The actual arithmetic is left as an exercise for the reader (well, probably for the reader's calculator, but the reader will have to press a few buttons).

Answer 4

Weight = mass x gravity

39.2 = mass x 9.8

Mass = 39.2 / 9.8 = 4 kilograms.

Answer 5

4kg

Answer 6

386.9 kg