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2 years ago

What units are associated with unit vectors i , j and k

1 answer:

4 0

First of all, not to get confused with terminology, unit vectors are called unit vectors because they have a unit length. This has absolutely nothing to do with physical units.

Now, if you are talking about physical units like m, m/s or N. Then it depends on what physical vector quantity you’re talking about. If it’s the displacement vector then the i,j,k will have units of length i.e. meters (m). If it’s the force vector then the i,j,k will have units of force i.e. newtons (N).

But if you are talking about vectors in math, then they are unitless. So, we just pretend the physical unit is 1.

Again stressing that this has nothing to do with their name “unit vectors”. They are called that because the unit, AKA the number “1”, is the value of their magnitude/length.

They have magnitude 1, bearing the unit of physical quantity they represent.

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Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average o

Setler79 [48]

Answer:

0.07 m

Explanation:

$L_0$ = Initial length = 1 km = 1000 m

$\Delta T$ = Change in temperature = 1.00°C

$\alpha$ = Coefficient of linear thermal expansion

Volumetric coefficient of expansion of water

$\beta=210\times 10^{-6}^{\circ}C\\\Rightarrow \beta=3\alpha\\\Rightarrow \alpha=\dfrac{\beta}{3}\\\Rightarrow \alpha=\dfrac{210\times 10^{-6}}{3}\\\Rightarrow \alpha=70\times 10^{-6}\ ^{\circ}C$

Change in length is given by

$\Delta L=L_0\alpha \Delta T\\\Rightarrow \Delta L=1000\times 1\times 70\times 10^{-6}\\\Rightarrow \Delta L=0.07\ m$

The change in length is 0.07 m

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3 years ago

4.7 cm. The tube is sealed at one end and loaded with lead shot to give it a total mass of M = 130 g. The tube floats in water (

babunello [35]

Answer:

Depth is 7.49cm

Explanation:

Given that;

The diameter of tube is (D)=4.7cm

Area of the tube is =πD^2/4

Area is 3.142*4.7*4.7/4=17.35cm2

Mass(M)=130g

Density =1g/cm^3

Recall that Density =mass /volume

Hence volume =130/1=130cm^3

Also note

Volume=area*depth

130=17.35*depth

Depth=130/17.35=7.49cm

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3 years ago

As you lift a book into the air, what kind of energy are you increasing in the book?

frez [133]

Gravitational potential energy.

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3 years ago

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4 years ago

How does surface texture affect friction

Nadya [2.5K]

Answer:

The rougher a surface is, the more friction it can create.

Explanation:

The rougher a surface is, the more "holes" are on the edge which means things can get caught on in because multiple holes can catch each other.

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3 years ago