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Dovator [93]
4 years ago
6

Find a vector w with the same direction of u but twice as long as v. u = {0 4 2} v = {2 1 0}.

Physics
1 answer:
marta [7]4 years ago
4 0
Find magnitude of v and then double itFind unit vector of u Multiply the above two

Let's do it step by step:

Magnitude of v and then double itmagnitude||v||=√2^2+1^2+0^2=√5 double it become  =2√5
Find unit vector of u magnitude||u||=√0^2+4^2+2^2=2√5 
so  unit.vector={0,2/√5,1/√5}

Multiply the above two:

when u multiply u get ( 0, 4/5, 2/5)



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What is mean by the value of universal gravitional constant is 6.67×10^-11​
aev [14]

Answer:

According to the gravitational law of Isaac Newton, "the gravitational force between any two objects is proportional to the product of the objects’ masses and inversely proportional to the square of the separation between their centers".

Therefore gravitational constant is the proportionality constant used in Newton’s Law of Universal Gravitation, and is commonly denoted by G. It is expressed as:

                                                 F= Gm1m2/r2

Another scientist Cavendish was able to measure the gravitational force and the value of the proportionality constant. It is expressed as G = 6.673×10-11 N m2 kg-2.

8 0
3 years ago
What fraction of the space within the atom is occupied by the nucleus?
ValentinkaMS [17]

Answer:

Approximately 6.8 x 10⁻¹⁵

Explanation:

To be able to get this fraction, there are some things we need to know.

1. The radius of nucleus = 1.0 x 10⁻¹³ cm

2. The radius of hydrogen atom = 52.9 pm

3. Volume of sphere = V1/V2 = (R1/R2)^3

4. 1 picometer (pm) = 10^-10 cm

CHECK ATTACHMENT FOR Step by step solution to the answer

3 0
3 years ago
The 60-mm-diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of τallow = 80 MPa. Determine the maximum
grin007 [14]
The maximum allowable torque must correspond to the allowable shear stress for maximization. To solve this, we use the torsion formula:

Max. Allowable Shear Stress = Maximum Torque ÷ Cross-Sectional Area
8 x 10^6 Pa = Maximum Torque ÷ pi*(d/2)²
Maximum Torque = 8 x 10^6 Pa * pi*(0.06/2)² m²
Maximum Torque = 22,619.47 J or
Maximum Torque = 22.62 kJ

As for the second question, I have no reference figure so I am unable to answer it. I hope I was still able to help you, though.
5 0
4 years ago
Why does Mercury have so little gas in its atmosphere? Choose one or more: A. Its escape velocity is low. B. It has a high tempe
Slav-nsk [51]

Answer:

Option A, B, C and D

Explanation:

First to all, we need to remember something. Mercury is the first planet to our solar system, therefore, it's the closest planet to the sun. Because of this, temperatures of that planet are way too high.

Mercury has a very thin atmosphere so it barely exists. It also has a low gravity and receives large gusts of solar winds from the Sun, that's why it has high temperature, and therefore, it's escape velocity is very low too.

Of course, it's one of the smallest planets in our solar system, so,the atmosphere of Mercury is unstable and constantly shifting. As the atmosphere’s materials are being made, they are also being taken away at the uppermost layers due to solar winds. The composition of the atmosphere can also change as you move across the planet.

3 0
3 years ago
Three identical springs each have the same spring constant k. if these three springs are attached end to end forming a spring th
wlad13 [49]
If the springs are connected together from end to end, they are arranged in series. For springs in series, the forces are additive. 

Spring 1: F1 = k1(Δx1)
Spring 2: F2 = k2(Δx2)
Spring 1: F3 = k3(Δx3)

Total Force = k1(Δx1)+k2(Δx2)+k3(Δx3)
Total Force = (k1+k2+k3)(Δx,total)

The spring constants are added together and multiplied with the total length of elongation to find the total force acting on it.
6 0
4 years ago
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