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sergiy2304 [10]
3 years ago
12

A vector has an x-component of length 10 and a y-component of length 3. What is the angle of the vector? (Hint: Use the inverse

tangent.)
Physics
1 answer:
Sonja [21]3 years ago
5 0
The vector, the x-component and the y-component form a rectangle triangle where the vector is the hypothenuse and the x and y components are the two sides.
Calling \alpha the angle between the vector and the horizontal direction (x), the two sides are related to \alpha by
\tan \alpha  =  \frac{v_y}{v_x}
where vy and vx are the two components on the y- and x-axis. Using vx=10 and vy=3 we find
\tan \alpha  =  \frac{3}{10} =0.3
And so the angle is
\alpha = \arctan (0.3)=16.7^{\circ}
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Find the net rate of heat transfer by radiation in watts from a skier standing in the shade, given the following. She is complet
fomenos

Answer:

-34.5 W

Explanation:

rate of heat transfer = Stefan-Boltzmann constant x emissivity x surface area x temperature^4

P = \alpha eA(T_{f} ^{4}- T_{i} ^{4}) = 5.67*10^{-8} *0.205*1.5(256^{4} - 284.4^{4} ) = -34.5 W

6 0
3 years ago
A child on a 2.4 kg scooter at rest throws a 2.2 kg ball. The ball is given a speed of 3.1 m/s and the child and scooter move in
kykrilka [37]

Answer:

The child's mass is 14.133 kg

Explanation:

From the principle of conservation of linear momentum, we have;

(m₁ + m₂) × v₁ + m₃ × v₂ = (m₁ + m₂)  × v₃ - m₃ × v₄

We include the negative sign as the velocities were given as moving in the opposite directions

Since the child and the ball are at rest, we have;

v₁ = 0 m/s and v₂= 0 m/s

Hence;

0 = m₁ × v₃ - m₂ × v₄

(m₁ + m₂)× v₃ = m₃ × v₄

Where:

m₁ = Mass of the child

m₂ = Mass of the scooter = 2.4 kg

v₃ = Final velocity of the child and scooter = 0.45 m/s

m₃ = Mass of the ball = 2.4 kg

v₄ = Final velocity of the ball = 3.1 m/s

Plugging the values gives;

(m₁ + 2.4)× 0.45 = 2.4 × 3.1

(m₁ + 2.4) = 16.533

∴ m₁ + 2.4 = 16.533

m₁ = 16.533 - 2.4 = 14.133 kg

The child's mass = 14.133 kg.

3 0
3 years ago
A typical current in a lightning bolt is 103 a. estimate the magnetic field 9 m from the bolt (in t). (enter the magnitude.)
kifflom [539]

The magnetic field is

2.288 \times 10 {}^{ - 6} T

what is magnetic field?

Magnetic field is defined as the relationship between the permittivity of free space,the magnitude of electric current,and distance.

Here is the formula,

B =  \frac{µ0l }{2π R}

here,

B= magnitude of the magnetic field

l= magnitude of electric current

R=distance

µ0=permittivity of free space

Now,using above formula we can calculate the magnetic field

B =  \frac{µ0l }{2π R}

\frac{4\pi \times 10 {}^{ - 7}. \frac{m}{a}  \times 103 }{2\pi \times (9m)}

= 2.288 \times 10 {}^{ - 6} T

Thus,the magnetic field is

= 2.288 \times 10 {}^{ - 6} T

learn more about magnetic field from here: brainly.com/question/28326849

#SPJ4

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Answer:

maybe a strainer possibly but once mixed its rather hard

Explanation:

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