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Advocard [28]
3 years ago
10

A vector of components (−3, −2) is multiplied by the scalar value of -6. What is the magnitude and direction of the resultant ve

ctor?
Physics
1 answer:
mixer [17]3 years ago
4 0
The components of the resultant will be: (18, 12)

In order to find the magnitude you have to apply the Pythagorean theorem:
√(18² + 12²) = √468 = 21.6
Therefore, the magnitude of the resultant vector is 21.6

The direction is given by the formula:
α = tan⁻¹(v_y / v_x)
   = <span>tan⁻¹(12/18)
   = 33.7°
Therefore, the direction will be 33.7° from the x-axis.</span>
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A pressure cylinder has a diameter of 150-mm and has a 6-mm wall thickness. What pressure can this vessel carry if the maximum s
myrzilka [38]

Answer:

p = 8N/mm2

Explanation:

given data ;

diameter of cylinder =  150 mm

thickness of cylinder = 6 mm

maximum shear stress =  25 MPa

we know that

hoop stress is given as =\frac{pd}{2t}

axial stress is given as =\frac{pd}{4t}

maximum shear stress = (hoop stress - axial stress)/2

putting both stress value to get required pressure

25 = \frac{ \frac{pd}{2t} -\frac{pd}{4t}}{2}

25 = \frac{pd}{8t}

t = 6 mm

d = 150 mm

therefore we have pressure

p = 8N/mm2

7 0
3 years ago
We cannot see a new moon in our sky because ________. We cannot see a new moon in our sky because ________. a new moon is quite
olasank [31]

Answer:

a new moon is quite near the Sun in the sky

Explanation:

7 0
3 years ago
Which of the following is NOT a characteristic of noble gases? *
statuscvo [17]

Answer:

solid at room temperature

Explanation:

they are unreactive

3 0
2 years ago
A steel marble with 0.05 kg of mass starts from rest and rolls down a ramp. It travels 0.25 m in 1.2 seconds. Find the force act
emmasim [6.3K]

After finding acceleration, it is found that 0.02 N of force is acting on the marble

<h3>What is Force ?</h3>

Force can simply be defined as a pull or push. It is the product of mass and acceleration of the object. It is a vector quantity and it is measured in Newton.

Given that a steel marble with 0.05 kg of mass starts from rest and rolls down a ramp. It travels 0.25 m in 1.2 seconds.

The parameters to consider are;

  • m = 0.05 Kg
  • u = 0
  • s = 0.25 m
  • t = 1.2 s
  • a = ?
  • F = ?

Before we find the force acting on the marble, let us first find the acceleration by using the formula: s = ut + 1/2at²

Substitute all the parameters into the formula

0.25 = 0 + 1/2 × a × 1.2²

0.25 = 1/2 × a × 1.44

0.25 = 0.72a

a = 0.25/0.72

a = 0.35 m/s²

The force acting on the marble will be ;

F = ma

F = 0.05 × 0.35

F = 0.017

F = 0.02 N

Therefore, the force acting on the marble is 0.02 N

Learn more about Force here: brainly.com/question/388851

#SPJ1

3 0
1 year ago
A 23.8 kg space rock is pushed with a force and accelerates at 8.97 m/s/s. How much force was applied?
kotegsom [21]

m=23.8kg a=8.97m/s^2 Fnet=? Fnet=ma=(23.8kg)(8.97m/s^2)=213.486N

5 0
3 years ago
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