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
monitta
3 years ago
15

A person standing on the edge of a high cliff throws a rock straight up with an initial velocity of 1.09 m/s. The rock misses th

e edge of the cliff as it falls back to earth. Assume the rock lands at the bottom of the valley which is 7.34 m below the cliff, what is the speed(neglect the sign of the velocity) of the rock when it lands
Physics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

Vf = 12.04 m/s

Explanation:

First, we consider the upward motion of the ball and use third equation of motion to find the height attained by the rock:

2gh' = Vf² - Vi²

where,

g = - 9.8 m/s² (negative sign for upward motion)

h' = height covered during upward motion = ?

Vf = Final Velocity = 0 m/s (since, rock stops at highest point)

Vi = Initial Velocity = 1.09 m/s

Therefore,

2(-9.8 m/s²)(h') = (0 m/s)² - (1.09 m/s)²

h' = (- 1.1881 m²/s²)/(- 19.6 m/s²)

h' = 0.06 m

Now, we analyze the downward motion of the rock. We use third equation of motion again:

2gh = Vf² - Vi²

where,

g = 9.8 m/s²

h = height covered during downward motion = 0.06 m + 7.34 m = 7.4 m

Vf = Final Velocity = ?

Vi = Initial Velocity = 0 m/s

Therefore,

2(9.8 m/s²)(7.4 m) = Vf² - (0 m/s)²

Vf = √(145.04 m²/s²)

<u>Vf = 12.04 m/s</u>

You might be interested in
A 0.520-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of
matrenka [14]

Answer:

Explanation:

mass, m = 0.520 kg

K = 8 N/m

Amplitude, A = 10.8 cm

(a)

Angular speed, \omega =\sqrt{\frac{K}{m}}

\omega =\sqrt{\frac{8}{0.520}}=3.92

maximum speed = ωA = 3.92 x 10.8 = 42.34 cm/s

(b) maximum acceleration, a = ω²A = 3.92 x 3.92 x 10.8 = 166 cm/s^2

(c) Speed of the particle is given by

v=\omega \sqrt{A^{2}-y^{2}}

v=3.92 \sqrt{10.8^{2}-6.80^{2}}

v = 33 cm/s

(d) acceleration

a = ω²y = 3.92 x 3.92 x 6.80 = 104.5 cm/s^2

(e) x = A Sinωt

2.80 = 10.8 Sin 3.92 t

Sin 3.92 t = 0.259

3.92 t = 0.262

t = 0.0668 second

4 0
4 years ago
A beam contains 2.0 $ 108 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 1.0 $
Sladkaya [172]

Answer:

a) Magnitude of the current density = 6.4 * 10⁻⁶ A/m²

b) The direction of the current density will be along the direction of the current and opposite to the movement of the positive charge

c) The cross sectional area of the ion beam is required

Explanation:

q = 1.6 * 10⁻¹⁹

Since it is doubly charged, 2q = 3.2 *  10⁻¹⁹

Speed, v = 1.0 * 10⁵ m/s

charge density, n = 2.0 * 10⁸

Current density, J = nqv

J =  2.0 * 10⁸ * 3.2 *  10⁻¹⁹ * 1.0 * 10⁵

J = 6.4 * 10⁻⁶ A/m²

J = 6.4 * 10⁻⁴ A/cm²

b) The direction of the current density will be along the direction of the current and opposite to the movement of the positive charge

c) Additional quantity needed to calculate the total current in the beam is the Cross Sectional Area of the beam since J = IA

Where I = current and A = Cross Sectional Area

7 0
3 years ago
Which type of wave has the longest wavelength?
professor190 [17]
The one with the lowest radio frequencies are the longest and the ones with the highest wave frequencies are the shortest. I think the answer is D
6 0
3 years ago
Read 2 more answers
If your speedometer has an uncertainty of 2.5 km/h at a speed of 92 km/h, what is the percent uncertainty
Elis [28]

Answer:

2.7%

Explanation:

Given:

Uncertainty of the speedometer (u)= 2.5km/h

Speed measured at that uncertainty (v) = 92km/h

Percent uncertainty (p) is given as the ratio of the uncertainty to the speed measured then multiplied by 100%. i.e

p = \frac{u}{v} * 100%

p = \frac{2.5}{92} * 100%

p = 2.7%

Therefore, the percent uncertainty is 2.7%

6 0
3 years ago
Experiment to find ways to make rainbows.
algol [13]

Answer:

Explanation:

a) To get a rainbow from a prism arrangement, we will need

  1. A triangular prism
  2. A black cardboard box
  3. A source of white light (light from the window will suffice)
  4. A pocket knife

First, you cut a slit in one end of the cardboard with the pen knife.

Next you open up a space on top of the cardboard through which you can observe the experiment and its result.

Next, you place the triangular prism with its slant face facing the the cut slit.

Finally, position the slit to face the light from the open window, and adjust the prism till the projected bands of colored light (rainbow) is very much obvious on the other end of the box, opposite the slit.

b) For a light to yield rainbow, it most be composed of different component colors of light. The colors of light is due to the difference in wavelength, and dispersion is due to the different in the wavelengths of the component light. So to get rainbow from a light source, the light must not be monochromatic. This means that only light composed of component light of different colors can produce rainbow. Light from the sun for example is composed of 7 distinct colors of light, and white light can be created with just three colors; blue, green, and red light.

4 0
3 years ago
Other questions:
  • The temperature &amp; pressure at which a solid becomes a liquid is called the
    12·1 answer
  • Why does the originally neutral hair and balloon become charged
    15·1 answer
  • What is the total displacement of a dog that runs north 80 meters to chase a ball, returns to its master, and then runs south 20
    14·2 answers
  • Label the three forms of energy represented in this image
    6·2 answers
  • a baseball is traveling (=20m/s) and us hit by a bat. it leaves the bat traveling (-30 m/s). What is the change in the velocity?
    8·1 answer
  • Whichiscorrect?(A)anopaqueobjectdoesnotallowlighttopassthroughit.(B)an
    7·2 answers
  • Answer in brief:<br>a) Explain atmospheric pressure with examples.​
    5·1 answer
  • 7. Copper can be coated on the surface of iron but not on silver? why​
    5·1 answer
  • Please show your workmkmmkekdmnesnndndndndn
    9·1 answer
  • The heating system in Jeff and Tony's new home takes cool air and passes it through the heat source using a fan or blower. What
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!