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
OlgaM077 [116]
3 years ago
15

The maximum speed with which you can throw a stone is about 20 m/s. Can you hit a window 45 m away horizontally and 10 m up from

the point where the stone leaves your hand? What is the maximum height of a window you can hit at this distance?
Physics
1 answer:
Allushta [10]3 years ago
6 0

Answer:

 y = 17 m

Explanation:

For this projectile launch exercise, let's write the equation of position

          x = v₀ₓ t

          y = v_{oy} t - ½ g t²

let's substitute

          45 = v₀ cos θ t

          10 = v₀ sin θ t - ½ 9.8 t²

the maximum height the ball can reach where the vertical velocity is zero

 

           v_{y} = v_{oy} - gt

           0 = v₀ sin θ - gt

           0 = v₀ sin θ - 9.8 t

Let's write our system of equations

         45 = v₀ cos θ  t

         10 = v₀ sin θ t - ½ 9.8 t²

         0 = v₀ sin θ - 9.8 t

We have a system of three equations with three unknowns for which it can be solved.

Let's use the last two

        v₀ sin θ = 9.8 t

we substitute

        10 = (9.8 t) t - ½ 9.8 t2

        10 = ½ 9.8 t2

        10 = 4.9 t2

        t = √ (10 / 4.9)

        t = 1,429 s

Now let's use the first equation and the last one

         45 = v₀ cos θ t

         0  = v₀ sin θ - 9.8 t

         9.8 t = v₀  sin θ

         45 / t = v₀ cos θ

we divide

         9.8t / (45 / t) = tan θ

          tan θ = 9.8 t² / 45

          θ = tan⁻¹ ( 9.8 t² / 45 )

          θ = tan⁻¹ (0.4447)

          θ = 24º

Now we can calculate the maximum height

         v_y² = v_{oy}^2 - 2 g y

         vy = 0

          y = v_{oy}^2 / 2g

          y = (20 sin 24)²/2 9.8

          y = 3,376 m

the other angle that gives the same result is

       θ‘= 90 - θ

       θ' = 90 -24

       θ'= 66'

for this angle the maximum height is

 

          y = v_{oy}^2 / 2g

          y = (20 sin 66)²/2 9.8

           y = 17 m

thisis the correct

You might be interested in
Which changes do not involve forming or breaking chemical bonds? rusting and cutting burning and melting burning and digesting b
r-ruslan [8.4K]

Answer:

boiling and melting!

Explanation:

These do not make any changes chemically to the substance.

Hope this helps!

6 0
3 years ago
A laser beam is incident at an angle of 30.2° to the vertical onto a solution of corn syrup in water. (a) If the beam is refract
mote1985 [20]

Answer:

a) n2 = 1.55

b) 408.25 nm

c) 4.74*10^14 Hz

d) 1.93*10^8 m/s

Explanation:

a) To find the index of refraction of the syrup solution you use the Snell's law:

n_1sin\theta_1=n_2sin\theta_2   (1)

n1: index of refraction of air

n2: index of syrup solution

angle1: incidence angle

angle2: refraction angle

You replace the values of the parameter in (1) and calculate n2:

n_2=\frac{n_1sin\theta_1}{sin\theta_2}=\frac{(1)(sin30.2\°)}{sin18.82\°}=1.55

b) To fond the wavelength in the solution you use:

\frac{\lambda_2}{\lambda_1}=\frac{n_1}{n_2}\\\\\lambda_2=\lambda_1\frac{n_1}{n_2}=(632.8nm)\frac{1.00}{1.55}=408.25nm

c) The frequency of the wave in the solution is:

v=\lambda_2 f_2\\\\f_2=\frac{v}{\lambda_2}=\frac{c}{n_2\lambda_2}=\frac{3*10^8m/s}{(1.55)(408.25*10^{-9}m)}=4.74*10^{14}\ Hz

d) The speed in the solution is given by:

v=\frac{c}{n_2}=\frac{3*10^8m/s}{1.55}=1.93*10^8m/s

8 0
3 years ago
WhT is marasmus my followers and following pls give answer in detail ​
Taya2010 [7]

<u>Marasmus disease is caused due to vitamin deficiency. It usually occurs when a person's diet does not contain all the vitamins and nutrients that the body needs to function. It involves wasting of body tissues, mainly muscles, and subcutaneous fat and it resulted in severe restrictions in energy intake.</u><u>.</u><u>.</u><u>.</u>

<u>happy</u><u> </u><u>learning</u><u>.</u><u>.</u>

7 0
2 years ago
Read 2 more answers
What are the units for momentum?<br><br> Kg<br><br> Newtons<br><br> m/s<br><br> kg·m/s
mariarad [96]

Answer:

kg·m/s

Explanation:

6 0
3 years ago
Read 2 more answers
Just about everyone at one time or another has been burned by hot water or steam. This problem compares the heat input to your s
tatyana61 [14]

Answer:

Q_T=63313.5\ J

Explanation:

Given:

  • temperature of skin, T_s=34^{\circ}C
  • initial temperature of steam vapour, T_v=100^{\circ}C
  • latent heat of steam, L=2256\ J.g^{-1}
  • mass of steam, m=25\ g
  • specific heat of water, c=4190\ J.kg^{-1}.K^{-1}=4.19\ J.g^{-1}.K^{-1}
  • final temperature, T_f=34^{\circ}C

<em>Assuming that no heat is lost in the surrounding.</em>

<u>We know:</u>

Q=m.c.\Delta T

<u>Now the total heat given by the steam to form water at the given conditions:</u>

Q_T=Q_{Lv}+Q_w ..............................(1)

where:

Q_{Lv}= latent heat given out by vapour to form water of 100°C

Q_w= heat given by water of 100°C to come at 34°C.

putting respective values in eq. (1)

Q_T=m(L+c.\Delta T)

Q_T=25(2256+4.19\times 66)

Q_T=63313.5\ J

is the heat transferred to the skin.

4 0
3 years ago
Other questions:
  • Use this technique to find a formula for the intensity I of a sound, in terms of the sound level β and the reference intensity I
    15·1 answer
  • You are standing 2.5 m directly in front of one of the two loudspeakers shown in the figure. they are 3.0 m apart and both are p
    10·1 answer
  • Walking converts what type of energy into mechanical energy
    14·2 answers
  • A 0.20-kg particle moves along the x axis under the influence of a conservative force. The potential energy is given by
    7·1 answer
  • Which of the following is a risk of obesity?
    9·2 answers
  • Tenemos un muelle sobre el que se ejerce una fuerza de 20 N produciéndose una deformación de 5 cm. Determinar: a) la constante r
    13·1 answer
  • NEED HELP!!!!!! CAN SOMEBODY HELP ME?
    15·1 answer
  • A boat having a length 3m and breadth 2m is floating on a
    12·1 answer
  • Within which type of system is the total energy conserved?
    14·1 answer
  • Cold water flows to the solar panels at 15°C. During the day, the panels supply 3.8 kg of hot water
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!