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Art [367]
2 years ago
6

Help me please, i need it fast

Physics
1 answer:
s2008m [1.1K]2 years ago
8 0

Answer:

2)  C.  (x - 3)² + (y + 2)² = 25

5)   x² +  y² - 8x - 16y + 54 = 0

6)   x² + y²  - 10x - 12y + 36  = 0

Explanation:

2)

center of circle = 3, -2

                            x1, y1

end point of circle = 7, 1

                                 x2, y2

 

the equation of a circle is Pythagorean theorem

x² + y² = r²    (where r is the radius of a circle)

distance between points  

(x2 - x1)² + (y2 - y1)² = r²

(7 - 3)² + (1 - (-2))² = r²

r² = 25

therefore the equation to the circle is

(x - 3)² + (y + 2)² = 25

=========================================

5)

write the general form of a circle with the center (4,8)

and containing the point (-1, 7)

distance between points  

(x2 - x1)² + (y2 - y1)² = r²

(-1 - 4)² + (7 - 8)² = r²

r² = 26

(x - 4)² + (y - 8)² = 26

(x - 4)(x - 4) +  (y - 8)(y - 8) = 26

x² - 8x + 16 + y² - 16y + 64 -26 = 0

x² +  y² - 8x - 16y + 54 = 0

=========================================

6)

find the general form of a circle with center (5,6)

and tangent to the y-axis.

           

center (5,6)

           h, k

radius = r²

r = 5

(x - h)² + (y - k)² = r²

(x - r)² + (y - k)² = r²

(x - 5)(x - 5) + (y - 6)(y - 6) = r²

x² - 10x + 25 + y² - 12y + 36 = 25

x² + y²  - 10x - 12y + 36  = 0

=========================================

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Is F=1/l√T/m dimentionally correct?​
kotegsom [21]

Answer:

no it is not correct dimensionally

Explanation:

f=1/l√T/m

taking square on both side in order to remove square root

f²=T/l²m

f=ma =kgm/sec²

therefore

kg.m/sec²=sec/m².kg

kg.m=sec*sec²/m².kg

kg.m=sec³/m².kg

kg=sec³/m³.kg

so the equation is incorrect dimensionally

3 0
3 years ago
A block of mass m = 2.0 kg slides head on into a spring of spring constant k = 260 N/m. When the block stops, it has compressed
nasty-shy [4]

Answer:

a) Ws = 2.548 J

b) Wf = 1.153 J

c) v = 1.923 m / s

Explanation:

a) The work done by the spring force  

Ws =  ½ * k * x²

Ws =  ½ * 260 N/m *0.14² m  

Ws =  2.548J

b) The increase in thermal energy can by find using  

Et = Wf

Wf = µ * m *g * x  

Wf = 0.42 * 2.0 kg *9.8 m/s² * 0.14m

Wf = 1.153 J

c) The speed just as the block reaches can by fin using

EK = Ws + Et

Ek = ( 2.548 + 1.153 ) J = 3.7 J

Ek = ½ * m * v²

v² = 2* Ek / m

v = √[2 * 3.7 J / 2.0 kg]

v = 1.923 m / s

8 0
3 years ago
Objects A and B are separated by 2m and the force of attraction between them is 8 x 10^-10 N . If the mass of A is 8kg what is t
Jobisdone [24]

Answer:

Only object a and b???????

5 0
2 years ago
An electric drill operating at 120 volts draws a current of 3 Amperes. What is the total amount of electrical energy used by the
Liono4ka [1.6K]
<h3><u>Answer;</u></h3>

= 21600 Joules or 21.6 Kilo joules

<h3><u>Explanation;</u></h3>

Electrical energy is given by the formula  = VIt ;

where V is the voltage in volts, I is the current in Amperes, and t is time in seconds.

Voltage = 120 volts

Current = 3 amperes

Time = 60 seconds or 1 minute

Therefore;

Electrical energy = 120 × 3 × 60

                            <u> = 21600 Joules or 21.6 Kilo joules</u>

4 0
3 years ago
3. The driver of a blue car is moving at a speed of 35 mph. A red car passes him at a speed of
faust18 [17]
The blue car is moving with a velocity of -14 m/s using the red car as a reference frame.
8 0
3 years ago
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