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sertanlavr [38]

3 years ago

12

A particle of mass m is projected from point A with an initial velocity v0 perpendicular to line OA and moves under a central fo

rce F along a semicircular path of diameter OA. Observing that r = r0 cos θ and r 2 q = h, show that the speed of the particle is v = v0 /cos2 θ

1 answer:

Mademuasel [1]3 years ago

8 0

Answer:

Detailed solution is given :

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The circumference of a circle can be found using the formula C = 2r. Which is an equivalent equation solved for r? r = C r = C(2

vaieri [72.5K]

Answer:

r equals StartFraction C Over 2 pi EndFraction

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

where

r is the radius of the circle

Solve for r

That means -----> isolate the variable r

Divide by 2π both sides

$\frac{C}{2\pi}=\frac{2\pi r}{2\pi}$

Simplify right side

$\frac{C}{2\pi}=r$

Rewrite

$r=\frac{C}{2\pi}$

so

r equals StartFraction C Over 2 pi EndFraction

5 0

3 years ago

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Please someone help me!!!! SHOW ALL WORK! ive been stuck on this question for 2 days!! :((((((

Otrada [13]

Step-by-step explanation:

x² + y² − 8x + 10y − 8 = 0

Rearrange:

x² − 8x + y² + 10y = 8

To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.

(-8/2)² = 16

(10/2)² = 25

x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25

x² − 8x + 16 + y² + 10y + 25 = 49

Factor the squares:

(x − 4)² + (y + 5)² = 49

The center is (4, -5) and the radius is 7.

6 0

3 years ago

Find the equation line<br> (5,6), (4,7)

34kurt

Answer:

$x+y=11$

Step-by-step explanation:

Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.

$\frac{y-6}{x-5}=\frac{7-6}{4-5}$

$\frac{y-6}{x-5}=\frac{1}{-1}$

$(y-6)=-(x-5)$

$y-6=-x+5$

adding x and 6 on both sides we get

$x+y=11$

Hence this is our equation of the line passing through (5,6) & (4,7)

8 0

3 years ago

Reflection across x=-2

lara31 [8.8K]

Hello,

answer in the jointed picture

6 0

2 years ago

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How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?

My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of the prism= $Length*Width*Height$

$Length=2 cm\\\\ Width=1 cm\\ \\ Height=3/2 cm = 1.5 cm$

Volume of Prism = $2*1*1.5$

$=3.0 cm^3$

Volume of the Cube:

$Side*Side*Side\\\\=0.5*0.5*0.5$

$= 0.125 cm^3$

Number of cubes that fills the prism:

$3.0/0.125\\\\=24 cubes$

So, the number of cubes that can fill the prism is '24'

8 0

3 years ago