Yup. They rounded ... apparently to two sig figmysticbms said:Homework Statement
What is the apparent weight of a 730-N astronaut when her spaceship has an acceleration of magnitude 2.0g in the following two situations. a) just above the surface of Earth, acceleration straight up; b) far from any stars of planets?
Homework Equations
Fnet=N-mg=ma
The Attempt at a Solution
W'=N=mg+ma=m(g+a)
=m(g + 2g)
m=730/g
W'=730*3=2190N
The answer in the book is 2200N, not sure if they just rounded and I'm not sure how to answer b.
In a sense you do have the wrong answer. You only know the acceleration to two places. It's 2.0 g, not 2.00g. Giving too much precision in an answer is a wrong answer.mysticbms said:This book is killing me. Not the first time it had me thinking I got the wrong answer.
D H said:In a sense you do have the wrong answer. You only know the acceleration to two places. It's 2.0 g, not 2.00g. Giving too much precision in an answer is a wrong answer.
The apparent weight of an astronaut in space is zero. This is because there is no gravity in space, so the astronaut is essentially weightless.
The apparent weight of an astronaut changes in space because of the absence of gravity. On Earth, gravity pulls down on our bodies, creating a feeling of weight. In space, there is no gravity pulling down on the astronaut's body, so they feel weightless.
The apparent weight of an astronaut is measured by using a scale. In space, astronauts can use a special type of scale that measures their mass through the force of their weight against a spring. The scale then converts this force into a reading of apparent weight.
Yes, the apparent weight of an astronaut will change on different planets because the amount of gravitational pull varies depending on the mass and size of the planet. For example, an astronaut would weigh less on the moon than on Earth due to the moon's weaker gravitational pull.
The apparent weight of an astronaut affects their movement in space because without the force of gravity, their movements are not restricted by their weight. This allows astronauts to move more freely and perform tasks that would be impossible on Earth due to the force of gravity.