We're adding two vectors here. The first is 300 Newtons to the right, which we can write as (300, 0), meaning 300 to the right, 0 up.
The second is 300 at let's say a 45 degree angle down. For the components we have an isosceles right triangle with hypotenuse 300, so the components are both magnitude 300/√2 = 150√2. So we can write this vector (150√2, -150√2), the negative sign because it points down in the y direction.
Adding is componentwise. The resulting force is (300+150√2, -150√2).
That has square magnitude
r² = (300+150√2)² + (-150√2)² = 150² ( (2+√2)² + (√2)² )
= 150²( (6 + 4√2) + 2)
= 300²(2+√2)
so
r = 300 √(2+√2) Newtons
That's the answer; I'm not sure if your class expects a calculator approximation, which is 554.3 Newtons.
An animal might use more than one type of clue to find its way due to change in the way one mechanism used to work.
Different animals have different senses heightened, that lets them use different mechanisms to navigate. Some of the mechanism include remembering landmarks, solar navigation, star navigation, magnetoreception, olfaction, gravity receptors etc.
For example, a bird using landmark to navigate will find it hard to navigate in the same way again if the landmark has been changed. So it has to depend on other senses such as olfaction or magnetoreception to navigate.
Therefore, an animal might use more than one type of clue to find its way due to change in the way one mechanism used to work.
To know more about Animal navigation
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(i)1.5cm
(ii)4.5cm
(iii)10cm
Answer:
Instantaneous Speed - The speed of an object at a given moment.
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A mixed cost contains a variable element and a fixed element.
Option a
<u>Explanation:</u>
Mixed costs are those costs that has both variable and fixed component. Example: operating cost of a machinery includes fixed costs that cannot be changed with other variable costs like fuel, insurance, depreciation, etc.
It is also named as semi-variable costs. And the formula to calculate mixed cost is as follows,
where,
- y is the "total cost
"
- a is the "fixed cost per period"
- b is the "variable rate per unit of activity"
- x is the "number of units of activity"
