Mass is indirectly proportional to acceleration, so, lighter the object greater would be it's acceleration...
A) 0.10 kg is lightest among them, so it's your answer
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:
Answer:
Any motion of a body in which gravity is the sole force acting on it is known as free fall. A body in free fall has no force acting on it under general relativity, where gravity is reduced to space-time curvature.
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Answer:
The new kinetic energy would be 16 times greater than before.
Explanation:
Kinetic energy is found using this formula:
- KE = 1/2mv²
- where KE = kinetic energy (J), m = mass (kg), and v = velocity (m/s)
We can see that kinetic energy is directly proportional to the square of the velocity, meaning that if the speed was increased by 4 times, then the kinetic energy would get increased by a factor of 16.
The velocity just before the ball hits the ground can be found by the equation:
Let's substitute h = 10 m and h = 40 m into this formula.
We can see that the velocity increases by a factor of 4 (10 m → 40 m).
Therefore, this means that the kinetic energy would also be increased by a factor of (4)² = 16. Thus, the answer is D) The new kinetic energy would be 16 times greater than before.