Answer:
The Rock
Explanation:
The paper is very thin and light so it has more air reisistance which will cause it to fall slower than the rock that has a larger density.
Answer:
0.001225 kg/L × 720 000 000 L = 882000 kg
Explanation:
Given:
The equation to solve is given as:
0.001225 kg/L × 720 000 000 L = ?
Let us write each term of the product in terms of power of 10.
As 0.001225 has 6 digits after the decimal place, therefore, we use the exponent 6 for 10 and the sign is negative. This gives,

Now, for 720000000 L there are 6 zeros after 720. So, we use exponent 6 but with a positive sign. This gives,

Now, finding the product, we get:

Therefore, the product is equal to:
0.001225 kg/L × 720 000 000 L = 882000 kg
Answer:
Please see below as the answer is self- explanatory.
Explanation:
- Any time that an object changes direction (from leftward to rightwward, or from upward to downward) the velocity must be zero just for one instant, when is on the verge of changing the direction.
- This is needed because velocity changes as a continuous function of time, so it needs to cross the t-axis when passing from positive to negative or vice versa.
- However, the claim that in the moment that velocity is zero, the acceleration is also zero, is false.
- Due to acceleration is the rate of change of velocity, and velocity is a vector, this means at any time there is a change of direction, there is an acceleration that is non-zero.
- For example, when an object that has been thrown upward, reaches to its maximum height, just one instant before starting to fall, the velocity becomes zero, but the acceleration (which causes the object to fall) is non-zero, due to it's the acceleration due to gravity.
Answer: The electrostatic force will be the same
Explanation:
According to Coulomb's Law, when two electrically charged bodies come closer, appears a force that attracts or repels them, depending on the sign of the charges of this two bodies or particles.
In this sense, this law states the following:
"The electrostatic force
between two point charges
and
is proportional to the product of the charges and inversely proportional to the square of the distance
that separates them, and has the direction of the line that joins them"
(1)
Being
is a proportionality constant.
Now, if each
and
are increased by 6, and the distance between them as well, we will have the following:
(2)
(3)
Simplifying:
(4)
Comparing (1) with (4) we can see the electrostatic force is the same.
Answer:28.8 knots
Explanation:
The ships are moving as the sides of a right triangle. Thus, Pyhogorean theorem will be useful in the following steps. Next, we have to know that the rate of change in distance, which is called velocity, can be described in terms of derivatives.
First, we have to calculate the distances covered by the ships from noon to 6 PM. In 6 hours, ship A moved 22*6=132 nautical mile. However, their first distance was 10 nautical miles, so 132+10=142 miles is the equivalent of A's displacement. For B, the distance travelled is 19*6=114 miles. From now on, A=142 miles and B=114 miles.
The distance between them is described with Pythogorean theorem, which is
and when we replace the values A and D, we find Distance (D) to be 182 miles.
Now, let's make the notations clear. The velocity of A and B is notated as
and
. The rate of change of distance is also notated as
. Now, we have to find
from the Pythogorean theorem. If we derive the Pythogorean expression
, we would have:

The derivation here includes chain rule and derives the interior parts of the parenthesis. When we insert distances for A and B and velocities for derivation notations, the formula becomes:
and the answer is 28.6 knots.