A) 0.189 N
The weight of the person on the asteroid is equal to the gravitational force exerted by the asteroid on the person, at a location on the surface of the asteroid:
where
G is the gravitational constant
8.7×10^13 kg is the mass of the asteroid
m = 130 kg is the mass of the man
R = 2.0 km = 2000 m is the radius of the asteroid
Substituting into the equation, we find
B) 2.41 m/s
In order to orbit just above the surface of the asteroid (r=R), the centripetal force that keeps the astronaut in orbit must be equal to the gravitational force acting on the astronaut:
where
v is the speed of the astronaut
Solving the formula for v, we find the minimum speed at which the astronaut should launch himself and then orbit the asteroid just above the surface:
For each pair Independent variable and the dependent variable is -
a. How much gas is left in the gas tank vs. how far the car has traveled.
- Independent variable = how far the car has traveled
- dependent variable = How much gas is left in the gas tank
b. How much money you've spent vs. how much money is in your wallet.
- Independent variable = How much money you've spent
- dependent variable = how much money is in your wallet.
c. How far a toy car traveled vs. how much time went by
- Independent variable = how much time went by
- dependent variable = How far a toy car traveled
An independent variable in any experiment or research is a variable that is manipulated or changed in the experiment, this change leads to a direct effect on the dependent variable.
A dependent variable is a variable that is directly affected by the independent variable and it is the variable that is measured or tested in an experiment.
Thus,
a. How much gas is left in the gas tank vs. how far the car has traveled.
- Independent variable = how far the car has traveled
- dependent variable = How much gas is left in the gas tank
b. How much money you've spent vs. how much money is in your wallet.
- Independent variable = How much money you've spent
- dependent variable = how much money is in your wallet.
c. How far a toy car traveled vs. how much time went by
- Independent variable = how much time went by
- dependent variable = How far a toy car traveled
Learn more about dependent variables:
brainly.com/question/1670595:
Potential energy U = mgh
Given h = 123 m,
mg = F = 780 N
Then
U = (123)(780)
= 95940
= 9.59 x 10^4
Answer:
Explanation: When a body covers unequal distances in equal intervals of time in a specified direction, the body is said to be moving with a variable velocity. Example: A rotating fan at a constant speed has variable velocity, because of continuous change in direction.
Hi there!
We can begin by solving for the linear acceleration as we are given sufficient values to do so.
We can use the following equation:
vf = vi + at
Plug in given values:
4 = 9.7 + 4.4a
Solve for a:
a = -1.295 m/s²
We can use the following equation to convert from linear to angular acceleration:
a = αr
a/r = α
Thus:
-1.295/0.61 = -2.124 rad/sec² ⇒ 2.124 rad/sec² since counterclockwise is positive.
Now, we can find the angular displacement using the following:
θ = ωit + 1/2αt²
We must convert the initial velocity of the tire (9.7 m/s) to angular velocity:
v = ωr
v/r = ω
9.7/0.61 = 15.9 rad/sec
Plug into the equation:
θ = 15.9(4.4) + 1/2(2.124)(4.4²) = 20.56 rad