Work = force x distance.
force = mass x acceleration
work = mass x acceleration x diastance
use acceleration of gravity in this problem
W (J) = m (kg) x a (m/s/s) x d (m)
W = 78 x 9.8 x 6
W = 4586.4
Answer:
a) 3.0×10⁸ m
b) 0 m
Explanation:
Displacement is the distance from the starting position to the final position.
a) In half a year, the Earth travels from one point on the circle to the point on the exact opposite side of the circle (from 0° to 180°). The distance between the points is the diameter of the circle.
x = 2r
x = 2 (1.5×10⁸ m)
x = 3.0×10⁸ m
b) In a full year, the Earth travels one full revolution, so it ends up back where it started. The displacement is therefore 0 m.
<h2>
Weight of astronaut 2450 miles above the Earth is 80.38 pounds</h2>
Explanation:
Given that gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object and the center of the Earth.

Where F is gravitational force between an object and the Earth, r is the distance from the object and the center of the Earth and k is a constant.
Radius of Earth = 4000 miles
In case 1 an astronaut weighs 209 pounds on the surface of the Earth,

Now we need to find weight of astronaut 2450 miles above the Earth
r = 4000 + 2450 = 6450 miles

Weight of astronaut 2450 miles above the Earth is 80.38 pounds
<em>F</em> = 153 N

Explanation:
Let us define first our directional convention. Anything pointing up or to the right is considered positive and anything pointing down or to the left is considered negative. Now let's look at the components
and
:
= 350 N - 200 N = 150 N
= 180 N - 150 N = 30 N
The magnitude of the resultant force <em>F</em> is given by



To find the direction
, we use

or
