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
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Charles' Law: The Temperature-Volume Law. This law states that the volume of a given amount of gas held at constant pressure is directly proportional to the Kelvin temperature. As the volume goes up, the temperature also goes up, and vice-versa.
We have that the electric field at the center of the metal ball due only to the charges on the surface of the metal ball is
From the question we are told that
A solid metal ball of radius 1.5 cm
bearing a charge of -15 nC is located near a hollow plastic ball of radius 1.9 cm bearing
uniformly distributed charge of -7 nC
The distance between the centers of the balls is 9 cm
Generally the equation for the electric field is mathematically given as
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The acceleration due to gravity (g) on this planet is 39.44 m/s²
<h3>What is solar system?</h3>
Solar system consists of all the planets and the most importantly the center of the solar system is Sun.
Given is an unknown planet in the outer-reaches of the solar system, a pendulum with a 12 g bob and a string length of 4 m oscillates with a period of 2 seconds.
The time period of the pendulum is
T = 2π √l/g
Squaring both sides, we get
l/g = T² / 4π²
g = 4π²l/ T²
Substitute Time period T = 2s and length l = 4m, we get
g = 4π²x 4/ 2²
g =39.44 m/s²
Thus, the acceleration due to gravity on this planet is 39.44 m/s²
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