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MrRa [10]
3 years ago
10

Find the length of the line PA.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

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5 0
3 years ago
WILL GIVE BRAINLIEST!
Zielflug [23.3K]

Answer:

Collisions

Follow Newton’s Third Law which tells us that

the force exerted by body A on body B in a

collision is equal and opposite to the force

exerted on body B by body A.

During a collision, external forces are ignored.

The time frame of the collision is very short.

The forces are impulsive forces (high force, short

duration).

Collision Types

Elastic: P is conserved, K is conserved

Inelastic: P is conserved, K is NOT conserved

Perfectly Inelastic means the bodies stick together

Problem: Collisions (1993)

10. Which of the following is true when an object of

mass m moving on a horizontal frictionless surface

hits and sticks to an object of mass M > m, which is

initially at rest on the surface?

(A) The collision is elastic.

(B) All of the initial kinetic energy of the less-massive

object is lost.

(C) The momentum of the objects that are stuck together

has a smaller magnitude than the initial momentum of

the less-massive object.

(D) The speed of the objects that are stuck together

will be less than the initial speed of the less-massive

object.

(E) The direction of motion of the objects that are stuck

together depends on whether the hit is a head-on

collision.

Explain your reasoning:

Ans. Again, by conservation of momentum, if the

mass increases, the velocity must decrease. pin = pout

Problem: Collisions (1993)

11. Two objects having the same mass travel

toward each other on a flat surface, each with a

speed of 10 meter per second relative to the

surface. The objects collide head-on and are

reported to rebound after the collision, each

with a speed of 20 meters per second relative

to the surface. Which of the following

assessments of this report is most accurate?

(A) Momentum was not conserved, therefore the report is false.

(B) If potential energy was released to the objects

during the collision, the report could be true.

(C) If the objects had different masses, the report could be true.

(D) If the surface was inclined, the report could be true.

(E) If there was no friction between the objects and the

surface, the report could be true.

Explain your reasoning:

Ans. Momentum is conserved provided that an

external force not be applied. If the objects have

potential energy stored, this could provide the force.

PLEASE MARK AS BRAINLIEST!!!!!!

7 0
3 years ago
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