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3 years ago

5. PLEASE HELP

Mathematics

1 answer:

lana66690 [7]3 years ago

5 0

Answer:

The potential energy of the ball having 2kg mass would be $392$ J

Step-by-step explanation:

I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.

Considering the formula for calculating the gravitational potential energy

$G.P.E\:=\:m.g.h$

$m = 2$ kg

Acceleration of gravity = g = 9.8 $ms^{-2}$

As the ball is on the height = h = 20 meters

So,

$G.P.E\:=\:(2)(9.8)(20)$

$G.P.E\:=392$ J

Therefore, the potential energy of the ball = $392$ J

Keywords: potential energy, Gravitation potential energy

Learn more potential energy from brainly.com/question/14022793

#learnwithBrainly

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Given AB is tangent to circle C at point B, what is the circumference of circle C?

faltersainse [42]

Given:

Given that AB is a tangent to circle C.

The length of AB is (2r -1)

The length of AC is (r + 1) + r

The length of BC is r.

We need to determine the circumference of the circle C.

Value of r:

The value of r can be determined using the Pythagorean theorem.

Thus, we have;

$AC^2=AB^2+BC^2$

Substituting the values, we have;

$[(r+1)+r]^2=(2r-1)^2+r^2$

Simplifying, we have;

$(2r+1)^2=(2r-1)^2+r^2$

Expanding the terms, we get;

$4r^2+4r+1=4r^2-4r+1+r^2$

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Simplifying the values, we have;

$4r=-4r+r^2$

Adding both sides of the equation by 4r, we get;

$8r=r^2$

$0=r^2-8r$

$0=r(r-8)$

Thus, $r=0 \ or \ r=8$

Since, the radius of the circle cannot be 0.

Hence, the radius of the circle is 8.

Circumference of the circle:

The circumference of the circle can be determined using the formula,

$C=2 \pi r$

Substituting r = 8, we get;

$C=2 \pi (8)$

$C=16 \pi$

Thus, the circumference of the circle is 16π

Hence, Option A is the correct answer.

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3 years ago