We know that the Pythagorean theorem applies only to right triangles, therefore the original vectors must be parallel to the legs of a right triangle.
In other words, they must be orthogonal (i.e. perpendicular to each other) in order that the Pythagorean theorem applies.
Answer:
See the explanation below.
Explanation:
Work in physics is defined as the product of force by the distance that the body travels in the direction of the force.
It can be represented by means of the following equation.

where:
W = work [J]
F = force [N]
d = distance [m]
In the given example the work is zero since the tree does not move, therefore the bear exerts a force on the tree. But there is no talk of movement of the tree, therefore the work is zero.
Answer:
The distance moved is 82 m.
The displacement is 18 m to the south.
Explanation:
The distance is a measure of the total length traveled along the path, while the displacement only takes into account the length between the starting position (departure) and final position (arrival). That is, distance refers to how much space an object travels during its movement, being the amount moved, while displacement refers to the distance and direction of the final position with respect to the initial position of an object.
So, the distance being the sum of the distances traveled, you get:
18 m + 22 m + 14 m + 28 m= 82 m
<u><em>The distance moved is 82 m.</em></u>
You know that the tennis ball moves 18 meters to the north, then 22 meters to the south, then 14 meters to the north, and finally 28 meters to the south. Then the tennis ball moves:
- northward: 18 m + 14 m= 32 m
- to the south: 22 m + 28 m= 50 m
Calculating the displacement as the difference between the final position and the initial position, you get:
displacement= 50 m - 32 m= 18 m
<u><em>
The displacement is 18 m to the south.</em></u>
Answer:
The lever is a movable bar that pivots on a fulcrum attached to a fixed point. The lever operates by applying forces at different distances from the fulcrum, or a pivot. As the lever rotates around the fulcrum, points farther from this pivot move faster than points closer to the pivot.
IF HELPED MARK AS BRAINLIEST
Chemical equations can be written down in 3 steps:
As example I’ll using the rusting of iron (as given)
1) Write down the products that react on the left side of the arrow.
2) Write the products after the reaction on the right side of the arrow. If there are one or more of a different atom that isn’t on the other side of the equation, the reaction is missing something on either sides.
Fe -> Fe2O3
But as you can see there are no O on the left side. The right formula is:
Fe + O2 -> Fe2O3
Review to make sure you wrote down everything.
3) Count all the atoms of each elements on each side. Balance out the amount of atoms on both sides by adding coefficients to your compounds
Take note that you need to multiply all the elements in the compound times the number
Fe + O2 -> Fe2O3
We need at least 2 iron atoms to balance out on the iron.
2Fe + O2 -> Fe2O3
Now we see that we have 2 O atoms on the left and 3 on the right. The smallest number that is divisable by both 2 and 3 is 6. Add coefficients in front of O2 and Fe2O3.
2Fe + 3O2 -> 2Fe2O3
Now we see that on the right there are 4 iron atoms. Balance out by multiplying iron on the left by 2.
4Fe + 3O2 -> 2Fe2O3
This is the final equation.