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HACTEHA [7]
3 years ago
13

If vector A = 6i - 2j + 3k, determine

Physics
1 answer:
Mrac [35]3 years ago
5 0

Answer:

(a) 2\vec A=12\hat i-4\hat j+6\hat k

(b) \displaystyle \vec{U_A}=12/7\hat i-4/7\hat j+6/7\hat k

(c) -4\vec{U_A}=-48/7\hat i+16/7\hat j-24/7\hat k

Explanation:

<u>Vectors</u>

Given a vector

\vec A=6\hat i-2\hat j+3\hat k

We must determine the following:

a) A vector in the same direction as A with double magnitude 2A.

If the vector goes in the same direction but has a different magnitude, we only need to multiply each component by a common factor, in this case, by 2. Thus, the required vector is:

2\vec A=12\hat i-4\hat j+6\hat k

b) A unit vector in the same direction of A.

The unit vector needs to compute the magnitude of the vector:

\mid A\mid=\sqrt{6^2+2^2+3^2}

\mid A\mid=\sqrt{36+4+9}=\sqrt{49}=7

\mid A\mid=7

The unit vector is:

\displaystyle \vec{U_A}=\frac{\vec A}{\mid \vec A\mid}

\displaystyle \vec{U_A}=\frac{12\hat i-4\hat j+6\hat k}{7}

\displaystyle \vec{U_A}=12/7\hat i-4/7\hat j+6/7\hat k

c) A vector opposite to A with magnitude 4 m. We assume the original vector is also expressed in m.

The opposite vector to A is obtained simply by multiplying the unit vector by -1. To make its magnitude equal to 4, also multiply by 4. In all, we multiply the unit vector by -4:

-4\vec{U_A}=-4(12/7\hat i-4/7\hat j+6/7\hat k)

-4\vec{U_A}=-48/7\hat i+16/7\hat j-24/7\hat k

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The temperature of a 2.0kg block increases by 5C when 2000 J of thermal energy are added to the block. What is the specific heat
vitfil [10]

Explanation:

Q=mc(T2-T1)

or

q = mcΔT ,

where m is the mass of the sample,

c is the specific heat,

and ΔT is the temperature change.

Q=2.0 × 2000 × 5

Q=20000J⋅kg −1 ⋅K −1

I hoped I helped pls rate as brainliest

7 0
2 years ago
When antimatter interacts with an equal mass of ordinary matter, both matter and antimatter are converted completely into energy
Ilya [14]

Answer:

  v = 5.88 10⁷ m / s

Explanation:

For this exercise we use the relation

          E = m c²

also indicate that all energy is converted into kinetic energy

          E = K = ½ (M-2m) v²

where m is the mass of antimatter and M is the mass of the ship's mass. Factor two is due to the fact that equal amounts of matter and antimatter must be combined

we substitute  

         m c² = ½ (M-2m) v²

        v² = 2 \frac{m}{M+2m} \ c^2

         

let's calculate

        v = \sqrt{2 \  \frac{4 \ 10^4 }{2 \ 10^6 + 2 \ 4 \ 10^4} \ (3 \ 10^8)^2}

         v = \sqrt{ 34.615 \ 10^{14}}

        v = 5.88 10⁷ m / s

8 0
3 years ago
All digits shown on the measuring device, plus one estimated digit are considered____
erastovalidia [21]
I think the answer is significant
4 0
3 years ago
RIGHT ANSWER I WILL GIVE BRAINLYSIT
pickupchik [31]

Answer:

The answer is...

D ( Plants use molecules of carbon dioxide to make sugar molecules.)

Explanation:

During photosynthesis, plants take in carbon dioxide (CO2) and water (H2O) from the air and soil. This transforms the water into oxygen and the carbon dioxide into glucose. The plant then releases the oxygen back into the air, and stores energy within the glucose molecules. During the process of photosynthesis, cells use carbon dioxide and energy from the Sun to make sugar molecules and oxygen. These sugar molecules are the basis for more complex molecules made by the photosynthetic cell, such as glucose.

Have an awesome day friend! <3

8 0
3 years ago
Write the ordered pair that represents vec yz .Then find the magnitude of vec yz Y(- 4, 12), (1, 19)
sladkih [1.3K]

Answer with Explanation:

We are given that

Y=(-4,12)

Z=(1,19)

We have to find the ordered pair which represents the vector YZ and magnitude of vector YZ.

Vector YZ=Z-Y=<1,19>-<-4,12>

Vector YZ=<5,7>

Magnitude of vector r

r=xi+yj

\mid r\mid=\sqrt{x^2+y^2}

Using the formula

\vec{YZ}=\sqrt{5^2+7^2}

\vec{YZ}=\sqrt{25+49}=\sqrt{74} units

7 0
3 years ago
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