1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arisa [49]
3 years ago
9

A person is 1.9 m tall. Where should he place the top of a mirror on the wall so he can see the top of his head? Assume his eyes

are 5.4 cm below the top of his head. Find a minimal vertical distance from the level of the person’s eyes to the top of the mirror.
Physics
2 answers:
professor190 [17]3 years ago
8 0

Answer: a) 1.846m

b) 0.923m

Explanation: given that height h = 1.9m

Assume his eyes are 5.4 cm below the top of his head

5.4 cm = 5.4 / 100 = 0.054 m

1.9 – 0.054 = 1.846 meter

The top of the mirror should be placed at 1.846m

That is the vertical distance from his eyes to top of his head.

Light must travel from the top of his head to the mirror in order for him to see the head. Then travel from this position to his eyes. To do this, the mirror must be placed at a position that is halfway between his eyes and the top of his head. 

The minimal vertical distance from the level of the person’s eyes to the top of the mirror will be:

d = ½ ×1.846 = 0.923 meters

Marysya12 [62]3 years ago
7 0

Answer:

A) Height he should place the top of a mirror on the wall so he can see the top of his head is = 2.7cm above his eyes.

B) Minimal vertical distance from the level of the person’s eyes to the top of the mirror = 2.7cm

Explanation:

Height of eye below top of head = 5.4cm or 0.054m

Height of person = 1.9m

A) If we assume that the top of his head is (approximately) the same distance from the mirror as his eyes considering that the mirror/wall are vertical, then the top of the mirror for him to see the top of his head must be 0.054/2 = 0.027m or 2.7cm above the top of his eye.

B) The mirror must be at least half as tall as the person standing in front of it.

Since the person is 1.9m or 190 cm tall, the vertical dimension of the mirror must be at least 190/2 = 95 cm. Now, the lower edge of the mirror must be at a height that is half the distance between his feet and eyes. Since the eyes are located 5.4 cm from the top of his head, it means the eyes are at a height of 190 - 5.4cm = 184.6 cm from his feet.

Thus, the lower edge of the mirror must be = 184.6/2 = 92.3 cm from the ground.

The point of incidence of the ray from the 'top of her head' must lie at the midpoint between her eyes and the top of her head. Since the eyes are 5.4 cm below the top of her head, the point of incidence of the ray must be 190 cm - (5.4/2) cm = 187.3 cm from the ground. This marks the upper edge of the mirror.

Eyes are 184.6 cm from the ground, thus, minimal distance from eyes to top of mirror = 187.3 - 184.6 = 2.7 cm

You might be interested in
What does it mean when we say "the acceleration due to gravity "
Orlov [11]

Answer: The acceleration due to gravity is the constant pull towards the core of the earth due to gravity on earth. It is abbreviated by the letter g and is equal to -9.81 m/s².

Explanation:

6 0
3 years ago
A 50n brick is suspended by a light string from a 30kg pulley which may be considered a solid disk with radius 2.0m. the brick i
igomit [66]

Brick is held at a position which is at height 2 m from the floor

Now it is released from rest and hit the floor after t = 4 s

Now the acceleration of the brick is given by

y = v_i* t + 0.5 at^2

2 = 0 + 0.5 * a * 4^2

a = 0.25 m/s^2

a)

Now in order to find the tension in the string

we can use Newton's law

F_{net} = ma

mg - T = ma

50 - T = \frac{50}{9.8}*0.25

T = 48.72 N

part b)

Now for the pulley

moment of inertia= \frac{1}{2}mr^2

m = 30 kg

R = 2 m

I = \frac{1}{2}*30*2^2

I = 60 kg m^2

Now the angular speed just before brick collide with the floor

w = \frac{v}{r}[\tex]here we have[tex]v = v_i + a* t

v = 0 + 0.25 * 4

v = 1 m/s

Now we will have

L = angular momentum = I w = I*\frac{v}{R}

L = 60 *\frac{1}{2}

L = 30 kg m^2/s

8 0
3 years ago
On top of a cliff of height h, a spring is compressed 5m and launches a projectile perfectly horizontally with a speed of 75 m s
omeli [17]

Answer:

The height of the cliff is 121.276 m

Explanation:

Given;

initial velocity of the projectile, v₁ = 75 m/s

final velocity of the projectile, v₂ = 90 m/s

spring compression = 5 m

Apply the law of conservation of energy;

mgh₀ + ¹/₂mv₁² = mgh₂ + ¹/₂mv₂²

gh₀ + ¹/₂v₁² = gh₂ + ¹/₂v²

gh₁  - gh₂ = ¹/₂v₂² - ¹/₂v₁²

g(h₀  - h₂) = ¹/₂ (v₂² - v₁²)

h₀  - h₂ = ¹/₂g (v₂² - v₁²)

h₀ = h(cliff) + 5m

when the projectile hits the ground, Final height, h₂ = 0

h_o - 0 = \frac{1}{2g}(v_2^2-v_1^2)\\\\h_{cliff} + 5= \frac{1}{2g}(v_2^2-v_1^2)\\\\h_{cliff}  = \frac{1}{2g}(v_2^2-v_1^2) - 5\\\\h_{cliff}  = \frac{1}{2*9.8}(90^2-75^2) - 5\\\\h_{cliff} = 121.276 \ m

Therefore, the height of the cliff is 121.276 m

7 0
3 years ago
Clothes dryer uses about 3:00 amps of current from a 240-volt line how much power does it use
kirill115 [55]

Electrical power is defined as

P = I * V

I = 3 amperes

V = 240 volts

Power = 3 * 240

Power = 720 Watts. Answer

4 0
3 years ago
In the lab, You have a highly reactive metal like sodium. It is so reactive that water sets it off. How would you store it?
kenny6666 [7]

Answer:

Sodium is stored under paraffin oil

Explanation:

Group 1 metals are known to be very highly reactive. The chemical reactivity of the members of the group decreases down the group.

Sodium reacts violently with water and upon exposure to the atmosphere. As a result of this, it must be stored under paraffin oil.

8 0
3 years ago
Other questions:
  • Franz Mesmer’s theory of medicine was that illnesses, especially hysteria, were caused by which of the following?
    6·2 answers
  • Sceiene question please show work for brainliest :)
    5·1 answer
  • The table re[resents the forces on four objects, with directions.
    12·2 answers
  • How much energy is required to heat an iron nail with a mass of 25.5 grams from 65°C until it becomes red hot at 720°C?
    12·1 answer
  • Displacement is to velocity as_____is to acceleration
    13·2 answers
  • Two speakers produce waves of the same wavelength that are in phase. 1) At a point midway between the speakers, you would expect
    13·1 answer
  • A ball is pushed from a stop and rolls 6 m in 2 s. Student A says the average speed of the ball is 3 m/s. Student B says the ave
    9·1 answer
  • What is the angle between a wire carrying an 8.40 A current and the 1.20 T field it is in, if 50.0 cm of the wire experiences a
    12·1 answer
  • 90% of stars are ______________.
    11·2 answers
  • Is it true or wrong that if anyone say that, can something that is “speeding up” it means it is also have a negative acceleratio
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!