Physics, 02.08.2019 08:00, tcjet

You are climbing in the high sierra when you suddenly find yourself at the edge of a fog-shrouded cliff. to find the height of this cliff, you drop a rock from the top; 10.0 s later you hear the sound of the rock hitting the ground at the foot of the cliff.

Answers: 1

Show answers

Answers

The total time it takes the sound to reach our on top of the cliff (10.0 s) is actually sum of two times:
- the time it takes the rock to hit the ground starting from the top of the cliff, t1
- the time it takes the sound to reach the top of the cliff starting from the ground, t2
1) The rock moves by uniformly accelerated motion, with constant acceleration g=9.81 m/s^2

. Its law of motion is given by $y(t)=h-v_0t-\frac{1}{2}gt^2$ , where v_0=0

is the initial velocity of the rock, and h is the height of the cliff. The time t1 is the time at which the rock reaches the ground, so that y(t1)=0, and the equation becomes
$0=h-\frac{1}{2}gt_1^2$
2) The sound moves from the ground to the top of the cliff by uniform motion, with constant speed v=343 m/s. Therefore, the sound covers the distance h (the height of the cliff) in a time t2 given by
h=vt_2

3) If we rewrite h in both equations, we can write:
$=\frac{1}{2}gt_1^2=vt_2$ (1)
4) We also know that the sum of t1 and t2 is equal to 10 seconds:
t_1+t_2=10

from which we find
t_2=10-t_1

if we substitute this into eq.(1), we get
$\frac{1}{2}gt_1^2+vt_1-10v=0$
Numerically:
4.9t_1^2 + 343 t_1 - 3430=0

Solving the equation, we find the solution t_1=8.87 s

(the other solution is negative, so it does not have physical meaning). As a consequence,
t_2 = 10-t_1 = 1.13 s

and the height of the cliff is given by
h=vt_2=(343 m/s)(1.13 s)=388 m

answered: jadawada223

height of the cliff would be

H = 385.25 m

Explanation:

here when we drop the stone from the cliff then first stone will hit the rock and then the sound of hitting the rock will come to us.

So here this total time is given as t = 10 s

now we know here that time to fall the stone is given by kinematics

$y = \frac{1}{2}gt^2$

$t = \sqrt{\frac{2H}{g}}$

now the time to travel the sound from bottom to us is given as

$t' = \frac{H}{340}$

here we assume that speed of sound is 340 m/s

now we have

t + t' = 10 s

$\sqrt{\frac{2H}{g}} + \frac{H}{340} = 10$

by solving above equation we have

H = 385.25 m

answered: Guest

here are some information of the future of geothermal energy:

-the future of geothermal energy can pretty much be summed up with a single word: more

-scientists plan in going deeper than 120 meters

-we are hoping that one day, we will get all of our energy from renewable energy sources such as geothermal energy

hope this !

answered: Guest

Depending on how the continental plates move it can cause a continental scale shift.

Other questions on the subject: Physics

Physics, 22.06.2019 06:30, robertrkumar1

At very high pressures, gases become and will eventually a) more dense; become hotter b) more dense; change to a liquid or solid c) less dense; combust d) less dense; turn into a liquid

Answers: 2

continue

Physics, 22.06.2019 07:00, 123abc321cbaabc

What type of relationship exists between the length of a wire and the resistance, if all other factors remain the same? o a. resistance is directly related to length. ob. resistance is directly related to the square of the length. c. resistance is inversely related to the length. d. resistance is inversely related to the square of the length. reset next

Answers: 1

continue

Physics, 22.06.2019 09:10, ehehvevsbg

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island

Answers: 1

continue

Physics, 22.06.2019 09:40, dakshshberry

Asatellite component is in the shape of a cube with 10cm edges, has an evenly distributed mass of 2 kg and one bolt hole at each of four corners. if the maximum predicted random vibration environment is 10 grms, what bolt size would be a good choice for restraint? what other factors might drive bolt size besides force/stress?

Answers: 2

continue

Do you know the correct answer?

You are climbing in the high sierra when you suddenly find yourself at the edge of a fog-shrouded cl...