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
AlekseyPX
3 years ago
15

A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 24.3 m/s . A 1.0-kg stone is thrown

from the basket with an initial velocity of 12.9 m/s perpendicular to the path of the descending balloon, as measured relative to a person at rest in the basket. That person sees the stone hit the ground 11.8 s after it was thrown. Assume that the balloon continues its downward descent with the same constant speed of 24.3 m/s .
Required:
a. How high was the balloon when the rock was thrown out?
b. How high is the balloon when the rock hits the ground?
c. At the instant the rock hits the ground, how far is it from the basket?
d. Just before the rock hits the ground, find its horizontal and vertical velocity components as measured by an observer at rest in the basket.
e. Just before the rock hits the ground, find its horizontal and vertical velocity components as measured by an observer at rest on the ground.
Physics
1 answer:
defon3 years ago
8 0

Answer:

-969.06

-286.74

698.7

-115.6, 12.9

-139.9, 12.9

Explanation:

Given that

Speed v, wrt y = -24.3 m/s

Speed v, wrt x = 12.9 m/s

time t, = 11.8 s

a

Using the formula

H(t) = ut - 1/2gt², where u = v wrt y

H(t) = -24.3 * 11.8 - 1/2 * 9.8 * 11.8²

H(t) = -286.74 - 682.28

H(t) = -969.06 m

b

H = ut, where u = v wrt y

H = -24.3 * 11.8

H = -286.74 m

H(1) = -969.06 - -286.74 = -682 m

c

Horizontal displacement, x = vt. Where v = v wrt x

x = 12.9 * 11.8

x = 152.22 m

d = √(H1² + x²)

d = √682² + 152²

d = 465124 + 23104

d = √488228

d = 698.7 m

d

Vertical component =

-gt - 0 =

-9.8 * 11.8 = -115.6

Horizontal component =

v wrt x - 0

12.9 - 0 = 12.9

e

Vertical component =

-gt - v wrt y =

-9.8 * 11.8 - 24.3 = -139.9

Horizontal component =

v wrt x - 0 =

12.9 - 0 = 0

You might be interested in
determine the metacentric height of a cylinder of 4 m diameter and height of 4m floating in water with its axis vertical, if per
krok68 [10]

Answer:

-0.383 m

Explanation:

Diameter of cylinder = 4m  therefore  r = 2

height of cylinder ( H ) = 4 m

specific gravity = 0.6 ( assumed )

depth of immersion = 'h'

<u>Determine the metacentric height </u>

weight of cylinder in water = water displaced

= 0.6 * 1000 * πr^2* H = 1000 * πr^2* h

= 0.6 * 4 = h

∴ h = 2.4 m

hence the depth of center of buoyancy from free space = h /2 = 1.2 m

The metacentric height can be calculated using the formula below

Gm = Io / Vsubmerged  - BG

attached below is the remaining solution

6 0
3 years ago
) The magnitude of scalar product of two unit vectors perpendicular to each other is ​
fenix001 [56]

This question involves the concept of the scalar product.

The magnitude of the scalar product will be "0".

<h3>SCALAR PRODUCT</h3>

The scalar product, also known as the dot product of the two vectors is given by the following formula:

A.B = |A||B|Cos\theta

where,

  • A.B = Scalar product = ?
  • |A| = Mangnitude of vector A = 1 unit
  • |B| = Magnitude of Vector B = 1 unit
  • θ = Angle between vectors = 90°

Therefore,

A.B = (1)(1)Cos90^o = (1)(1)(0)

A.B = 0

Learn more about scalar product here:

brainly.com/question/6849226

5 0
3 years ago
PLEASE HELP ASAP :|
barxatty [35]
Rub a balloon on a woolen fabric to pick up some electrons, to make the balloon negatively charged, and stick them to a wall, which would be positively charged to make them stick. 

Opposites attract and when you stick a negatively charged objects to positively charged objects, they tend to stick together. When you pick up electrons, it increases the number of electrons which will make the object negatively charged. 

Note: The first part of the answer is a single sentence. The problem says in a complete sentence, so just in case that you need only one sentence you can take the first part. If you can add in more than a sentence, you can put in more from the second paragraph. 
5 0
3 years ago
What role does gravity play in the weight of an object?
earnstyle [38]
In physics, weight is a measure of the force exerted by gravity on a mass.

You probably know that you weigh less on the Moon than on Earth. For instance, if you weigh 100. pounds on Earth, you will weigh 16.6 pounds on the Moon. But, if your mass on Earth is 100 kg, your mass on the Moon is... also 100 kg. Because the amount of matter you have does not change from the Earth to the Moon, but the gravitational force on the Earth is stronger than on the Moon, so you weigh more on Earth.

You can think of gravity pulling a mass toward the center of an object like the Earth. It pulls a lot harder for more massive objects like the Earth than for the Moon. That's why there's a difference in weight.

As a caveat, adding energy or mass to an object will affect its mass. Additionally, general relativity informs us that when something as traveling very near the speed of light, the whole idea of mass equivalency is not exactly true...
6 0
4 years ago
What is the frequency of radiation whose wavelength is 0.80 nm ? express the frequency in inverse seconds to three significant d
Mashcka [7]
The relationship between the frequency (f) of an electromagnetic wave, the speed of the wave (which is the speed of light, c) and its wavelength \lambda is given by
f= \frac{c}{\lambda}

Since the wavelength of the radiation in the problem is \lambda= 0.80 nm = 0.80 \cdot 10^{-9} m, by substituting numbers in the formula we  can get the frequency:
f= \frac{3 \cdot 10^8 m/s}{0.80 \cdot 10^{-9} m} =3.75 \cdot 10^{17} s^{-1}
5 0
3 years ago
Other questions:
  • Matt forgot to put the fabric softener in the wash. As his socks tumbled in the dryer, they became charged. If a small piece of
    13·2 answers
  • Which of the following is not true about a good streching routines
    9·1 answer
  • Calculate the index of refraction for a medium in which the speed of light is 1.239 ✕ 108 m/s. (The speed of light in vacuum is
    7·1 answer
  • During resistance exercise, muscles are __________. A. working against a force B. repeatedly contracted C. concerted in movement
    15·1 answer
  • Which of the following are metalloid elements?
    11·2 answers
  • Help me with this question please
    13·1 answer
  • An object is placed 25 cm from a convex lens whose focal length is 10 cm. The image distance is ________ cm.
    7·1 answer
  • 2. Find the electrostatic force between two protons that are 2.0 m apart. The elementary charge of
    5·1 answer
  • How does the time of flight differ between an object launched from a height parallel to ground and an object launched from the g
    6·1 answer
  • a 1 kg ball is confined to move on a. vertical circle of a radius 2 meters. There is no friciton between the bead and the circul
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!