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Advocard [28]
4 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]4 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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When a warm air mass collides with a cold air mass, the warm air mass rises above the cold air mass leading too:
nikdorinn [45]

Answer: It leads to a front. A front is.., I don't know how to explain it, so I'll add a picture. Fronts are made out of clouds and usually bring rain. So the answer is C: The formation of clouds and rain.

Explanation:

7 0
3 years ago
A cube of mass m1=9.6 kgm1=9.6 kg is sitting on top of a second cube of the same size and mass m2=0.8 kgm2=0.8 kg while both are
GalinKa [24]

Answer:N=0

Explanation:

Given

m_1=9.6 kg

m_2=0.8 kg

both blocks experiencing free fall so net weight of block during free fall is zero thus there is no normal reaction between them.

N=0

8 0
3 years ago
A batch of 500 containers for frozen orange juice contain 5 that are defective. 2 are selected at random without replacement.
KonstantinChe [14]
Given:
500 containers ; 5 of these are defective.

A = event that 1st is defective = 5/500
B = event that 2nd is defective = 4/499
C = event that 3rd is defective = 3/498

a) 4/499
b) 5/500 * 4/499 = 20/249,500 = 1/12,475
c) 495/500 * 494/500 = 244,530 / 250,000 = 24,453/25,000
d) 5/500 * 4/499 * 3/498 = 60/124,251,000 = 1/2,070,850
6 0
4 years ago
What are the three important safety factors for surgical technologists to consider when exposed to ionizing radiation?
Gemiola [76]

Answer:

Exposure time limitation, shielding and distance.

Explanation:

  • Limitation of exposure time, since the dose received is directly proportional to the exposure time, so that, at a shorter time, lower dose. For this reason, planning is suggested, to reduce time.
  • Use of shields. This allows a reduction in the dose received by the technician when filtered by the barrier (screen). There are two types of shields or screens, the primary barriers (attenuate the radiation of the primary beam) and the secondary barriers (avoid diffuse radiation).
  • Distance to the radioactive source. The dose received is inversely proportional to the square of the distance to the radioactive source. Therefore, if the distance is doubled, the dose received will decrease by a quarter. Reason for this, it is advisable to use devices or remote controls whenever possible.
7 0
3 years ago
A train has a mass of 100000 kilograms.if its kinetic energy is 3mj what velocity is it travelling at​
Elza [17]

Answer:

V = 7.75 meters per seconds.

Explanation:

Given the following data;

Mass = 100000 Kilograms

Kinetic energy = 3 Megajoules = 3 * 10⁶ Joules

To find the velocity of the train;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

K.E = \frac{1}{2}MV^{2}

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Substituting into the formula, we have;

3000000 = \frac{1}{2}*100000*V^{2}

Cross-multiplying, we have;

6000000 = 100000V^{2}

V^{2} = \frac{6000000}{100000}

V^{2} = 60

Taking the square root of both sides, we have;

V = \sqrt {60}

V = 7.75 m/s

7 0
3 years ago
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