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nevsk [136]
3 years ago
9

prove that if the sum and diffrence of two vectors are perpendicular then the vectors have equal magnitude?​

Physics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

true.

Explanation:

Using the fact that the dot product of two perpendicular vectors is equal to zero:

(\overrightarrow{a}+\overrightarrow{b})\cdot (\overrightarrow{a}-\overrightarrow{b}) = 0\\\overrightarrow{a}\cdot\overrightarrow{a}-\overrightarrow{b}\cdot\overrightarrow{b}=0\\\overrightarrow{a}\cdot\overrightarrow{a}=\overrightarrow{b}\cdot\overrightarrow{b}\\|a|^2=|b|^2\\|a|=|b|

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A boy pulls with a 20 N force, at a 20 degree incline. What part of the force moves the wagon?
nalin [4]

Answer:

horizontal direction force move wagon at  18.79 N

Explanation:

given data

force F = 20 N

angle = 20 degree

to find out

What part of the force moves the wagon

solution

we know here as per attach figure

boy pull a wagon at force 20 N at angle 20 degree

so there are 2 component

x in horizontal direction i.e  F cos20

and y in vertical direction i.e F sin20

so we can say

horizontal direction force is move the wagon that is

horizontal direction force = F cos 20

horizontal direction force = 20× cos20

horizontal direction force = 18.79 N

so horizontal direction force move wagon at  18.79 N

4 0
4 years ago
Acceleration of a Car A car traveling along a straight road at accelerated to a speed of over a distance of ft. What was the acc
kicyunya [14]

Answer:

how many feet?

Explanation:

6 0
3 years ago
Bromine is a liquid at room temperature. The volume of a sample of bromine is measured in a 50 beaker and a 100 ml beaker. How w
Stells [14]

Answer:

The comparisons are;

The height of the bromine in the 50 ml beaker will be twice that of the 100 ml beaker

The measurement of the volume with the 50 ml beaker will be more accurate than the measurement taken with the 100 ml beaker, because the differences in the height of the bromine in the 50 ml beaker is more obvious than the differences measured with the 100 ml beaker.

The actual volume of bromine in both beakers will be equivalent

Explanation:

The properties of a liquid are;

1) The volume of a liquid is relatively fixed at conditions that are suitable for it to remain in the liquid state compared to the volume occupied by a gas

2) A liquid will assume the shape of a container in which it is placed

3) The surface of a liquid in a container is flat due in order that the attractive forces between the molecules of the liquid at the surface and inside the body of the liquid should be in equilibrium

Therefore, given that the volume of the Bromine is measured in 50 ml beaker and a 100 ml beaker, there will be differences in the measured height of the same volume of bromine in each beaker.

5 0
3 years ago
On what factor does heat depend?​
Naily [24]
Isı hangi faktöre bağlıdır?
8 0
3 years ago
Read 2 more answers
Two forces act on a 6.00-kg object. One of the forces is 10.0 N. If the object accelerates at 2.00 m/s2
liubo4ka [24]

Given :

Two forces act on a 6.00-kg object. One of the forces is 10.0 N.

Acceleration of object 2 m/s².

To Find :

The greatest possible magnitude of the other force.\

Solution :

Let, other force is f.

So, net force, F = 10 + f.

Now, acceleration is given by :

a=\dfrac{F}{mass}\\\\a= \dfrac{10+f}{6}\\\\\dfrac{10+f}{6}=2\\\\f = 12 - 10\\\\f = 2 \ N

Therefore, the greatest possible magnitude of the other force is 2 N.

Hence, this is the required solution.

7 0
3 years ago
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