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
adelina 88 [10]
2 years ago
7

A car accidently roll of a cliff. As it leaves the cliff it has horzontal velocity of 13 m/s it hits the ground 60m from the sho

reline. Calculate the hight of the cliff
Physics
1 answer:
grandymaker [24]2 years ago
7 0

Answer: The height of the cliff is 104.59 m

Explanation:

The horizontal speed of the car when it leaves the cliff is 13 m/s, and it hits the ground 60m from the shoreline.

Here we can use the relationship:

Time*Speed = Distance.

To find the time that the car is in the air, we know that:

speed = 13m/s

distance = 60m

time = T

13m/s*T = 60m

T = (60m)/13m/s = 4.62 s

This means that the car is falling for 4.62 seconds.

Now let's analyze the vertical problem.

As the car leaves the cliff, it only has horizontal velocity, this means that the vertical initial velocity will be zero

The only force acting in the vertical axis is the gravitational force, this means that the acceleration will be equal to the gravitational acceleration, which is:

g = 9.8m/s^2

then:

a = -9.8m/s^2

Where the negative sign is because the acceleration is pulling the car downwards.

To get the vertical velocity, we could integrate over time to get:

v(t) = (-9.8m/s^2)*t + v0

Where v0 is the constant of integration and the initial vertical velocity, that we already know that is equal to zero, then the vertical velocity as a function of time can be written as:

v(t) = (-9.8m/s^2)*t

To get the vertical position equation, we need to integrate again over the time:

P(t) = (1/2)*(-9.8m/s^2)*t^2 + H

Where H is the constant of integration and the initial vertical position, then H will be the height of the cliff.

We know that the car needs 4.62 seconds to hit the ground, this means that:

P(4.6s) = 0m

Then:

P(t) = (1/2)*(-9.8m/s^2)*(4.62s)^2 + H = 0

            (-4.9m/s^2)*(4.62s)^2 + H = 0

          H =  (4.9m/s^2)*(4.62s)^2 = 104.59 m

This means that the cliff is 104.59 meters high

You might be interested in
I NEED HELP PLZ I HAVE NO CLUE WHAT THE ANSWER IS AND I REALLY NEED TO GET AN A ON THIS TEST!
olya-2409 [2.1K]

Answer:

I'm pretty sure its c

Hope you get a good grade-

3 0
3 years ago
Help please i really want to pass this quiz
Lesechka [4]

Answer:

It is positive and smaller in magnitude than the initial acceleration.

Explanation:

We know that acceleration is defined as the change of velocity in a given time.

We see that the time interval is equal to 30 seconds (70 - 40). In this interval we also see that the velocity increases from 245 to 250 (m/s) approximately. Therefore the acceleration is positive.

With respect to the magnitude we can say that it is smaller than at the beginning since the change of velocities is smaller with respect to the change of velocities at the beginning.

5 0
2 years ago
Products must equal which in a chemical reaction?
Evgesh-ka [11]

I think it is reactants

3 0
2 years ago
During a rockslide, a 670 kg rock slides from rest down a hillside that is 740 m along the slope and 240 m high. The coefficient
ElenaW [278]

a) 1.58\cdot 10^6 J

b) 1.15\cdot 10^6 J

c) 0.43\cdot 10^6 J

d) 35.8 m/s

Explanation:

a)

The gravitational potential energy of an object is the energy possessed by the object due to its location with respect to the ground.

It is given by:

U=mgh

where

m is the mass of the object

g is the acceleration due to gravity

h is the height of the object, relative to a reference level

Here, the reference level is taken at the bottom of the hill (where the potential energy is zero).

So, we have:

m = 670 kg is the mass of the rock

g=9.8 m/s^2

h = 240 m is the initial height of the rock

So, the potential energy of the rock just before the slide is

U=(670)(9.8)(240)=1.58\cdot 10^6 J

b)

The energy transferred to thermal energy during the slide is equal to the work done by friction, which is:

W=F_f d

where

F_f is the force of friction

d = 740 m is the displacement of the rock along the ramp

The force of friction is given by:

F_f=-\mu mg cos \theta

where

\mu=0.25 is the coefficient of friction

m = 670 kg is the mass of the rock

\theta is the angle of the ramp

Since we know the lenght of the ramp (d = 740 m) and the height (h = 240 m), we can find the angle:

\theta=sin^{-1}(\frac{h}{d})=sin^{-1}(\frac{240}{740})=18.9^{\circ}

Therefore, the work done by friction is:

W=-\mu m g cos \theta d =-(0.25)(670)(9.8)(cos 18.9^{\circ})(740)=-1.15\cdot 10^6 J

So, the energy transferred to thermal energy is 1.15\cdot 10^6 J.

c)

According to the law of conservation of energy, the kinetic energy of the rock as it reaches the bottom of the hill will be equal to the initial potential energy (at the top) minus the energy transformed into thermal energy.

Therefore, we have:

K_f = U_i -E_t

where here we have:

U_i=1.58\cdot 10^6 J is the potential energy of the rock at the top of the hill

E_t=1.15\cdot 10^6 J is the energy converted into thermal energy

Substituting, we find

K_f=1.58\cdot 10^6-1.15\cdot 10^6=0.43\cdot 10^6 J

So, this is the kinetic energy of the rock at the bottom of the hill.

d)

The kinetic energy of the rock at the bottom of the hill can be rewritten as

K_f=\frac{1}{2}mv^2

where

m is the mass of the rock

v is its final speed

In this problem, we have:

K_f=0.43\cdot 10^6 J is the final kinetic energy of the hill

m = 670 kg is the mass of the rock

Therefore, the final speed of the rock is:

v=\sqrt{\frac{2K_f}{m}}=\sqrt{\frac{2(0.43\cdot 10^6)}{670}}=35.8 m/s

7 0
3 years ago
Help me please???!!!!
Mariulka [41]
I got you gurl so if your looking for speed kts speed =distance +time and when you do all your steps correctly its speed=320 m/s....... Hope this helped
6 0
3 years ago
Other questions:
  • A 330 μf capacitor is connected in series with a 120 ohm resistor. what is the time constant for the circuit?
    14·1 answer
  • Juggles the clown stands on one end of a teeter-totter at rest on the ground. Bangles the clown jumps off a platform 2.4 m above
    9·1 answer
  • What does the symbol for Monday mean???
    6·1 answer
  • Potential energy increases with the greater height mass of an object.True or False
    14·1 answer
  • INTRO PHYSICS: Two planets are 3 x 10^7 km apart. Planet A has a mass of 8 x 10^24 kg. Planet B has a mass of 1 x 10^25 kg. What
    8·1 answer
  • When choosing a protein it is best to choose one for high in saturated fats true or false​
    14·1 answer
  • WILL MARK BRAINLIEST
    6·1 answer
  • The ability to speak does not say you intelligent essay​
    14·1 answer
  • 2 Here are some numbers: 22 23 25 27 29 ܕ ST From the list, write down all of the prime numbers .
    7·1 answer
  • What angle (in degrees) is needed between the direction of polarized light and the axis of a polarizing filter to cut its intens
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!