A man has a mass of 110kg. What is his weight?

His weight depends on where he is, because

Weight = (mass) x (gravity in the place where the mass is) .

For example:

-- If this man is on Mars, his weight is (110 kg) x (3.7 m/s²) =  408 Newtons

-- If he is on the Moon, his weight is (110 kg) x (1.6 m/s²) =  176 Newtons

-- If he is on Earth, his weight is (110 kg) x (9.8 m/s²) =  1,078 Newtons

-- If he is in a spacecraft coasting from one to another, his weight is zero.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2