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
ArbitrLikvidat [17]
3 years ago
5

A coffee filter of mass 1.4 grams dropped from a height of 4 m reaches the ground with a speed of 0.9 m/s. How much kinetic ener

gy Kair did the air molecules gain from the falling coffee filter? Start from the Energy Principle, and choose as the system the coffee filter, the Earth, and the air.
Physics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

The kinetic energy gained by the air molecules is 0.054313 J.                      

Explanation:

Given that,

Mass of a coffee filter, m = 1.4 g

Height from which it is dropped, h = 4 m

Speed at ground, v = 0.9 m/s

Initially, the coffee filter has potential energy. It is given by :

P=mgh\\\\P=1.4\times 10^{-3}\ kg\times 9.8\ m/s^2\times 4\ m\\\\P=0.05488\ J

Finally, it will have kinetic energy. It is given by :

E=\dfrac{1}{2}mv^2\\\\E=\dfrac{1}{2}\times 1.4\times 10^{-3}\times (0.9)^2\\\\E=0.000567\ J

The  kinetic energy Kair did the air molecules gain from the falling coffee filter is :

E=0.000567-0.05488=0.054313\ J

So, the kinetic energy Kair did the air molecules gain from the falling coffee filter is 0.054313 .

You might be interested in
A horizontal spring-mass system has low friction, spring stiffness 160 N/m, and mass 0.3 kg. The system is released with an init
anygoal [31]

Answer:

(a) 0.38 m

(b) 2.78 m/s

(c) 0.11 watt

Explanation:

mass, m = 0.3 kg

spring constant, K = 160 N/m

initial compression, d = 12 cm = 01.2 m

initial speed, u = 3 m/s

(a) Let the maximum stretch is y.

Use conservation of energy

Initial potential energy + initial kinetic energy = final potential energy

0.5 x K x d² + 0.5 x m x u² = 0.5 x K x y²

160 x 0.12 x 0.12 + 0.3 x 0.12 x 0.12 = 160 x y²

2.304 + 0.00432 = 160 y²

y = 0.38 m

y = 38 cm

(b) Let v is the maximum speed.

The speed is maximum when the stretch in the spring is zero, so by use of conservation of energy

Initial potential energy + initial kinetic energy = final kinetic energy

0.5 x K x d² + 0.5 x m x u² = 0.5 x m x v²

160 x 0.12 x 0.12 + 0.3 x 0.12 x 0.12 = 0.3 x v²

2.304 + 0.00432 = 0.3 v²

v = 2.78 m/s

(c) The time period of the spring mass system is given by

T=2\pi\sqrt{\frac{m}{K}}

T=2\pi\sqrt{\frac{0.3}{160}}

T = 0.272 second

Energy dissipated per cycle = 0.03 J

Power, P = 0.03 / 0.272 = 0.11 Watt

5 0
3 years ago
ID like to say thx everyone who is on brainly u guys helped me get through my quiz so thx
VARVARA [1.3K]

Answer:

I want to know how your experience has been on brainly. I hope it is good. I really like spending time helping others here. If you have any other questions please ask me :)

Explanation:

8 0
2 years ago
Read 2 more answers
Who predict the black hole​
kramer

Answer:

Albert Einstein

Explanation:

He first predicted the existence of black holes in 1916

8 0
2 years ago
Why are many adults and youth in the United states overweight?
Anna11 [10]

Answer:

I'd imagine fast food is a lot more popular than most countries over there and easier to get hold of.

Explanation:

america

6 0
2 years ago
Read 2 more answers
What is the average speed in the last 1s?<br><br> With Explanation Please
I am Lyosha [343]

this \: is \: my \: attachment \: answer \: hope \: its \: helpful \: to \: you

5 0
2 years ago
Other questions:
  • In order for rejuvenation to take place in a stream, what must occur first?
    14·1 answer
  • What determines the chemical properties of an element? A. the number and arrangement of the electrons in an atom B. the number o
    13·2 answers
  • A machine produces a larger force than you exert to operate the machine. How does this input distance of the machine compare to
    10·1 answer
  • A skateboarder with mass ms = 54 kg is standing at the top of a ramp which is hy = 3.3 m above the ground. The skateboarder then
    14·1 answer
  • Photosynthesis is an endothermic chemical reaction that forms sugars from carbon dioxide, water, and the sun's energy. Which of
    13·2 answers
  • Why do truckers use a ramp when loading a truck if the work required is the same with or without a ramp?
    9·1 answer
  • A holiday ornament in the shape of a hollow sphere with mass 0.015 kg and radius 0.055 m is hung from a tree limb by a small loo
    7·1 answer
  • When the Glen Canyon hydroelectric power plant in Arizona is running at capacity, 690 m3 of water flows through the dam each sec
    9·1 answer
  • How much energy does it take to raise the temperature of 2kg water from 10 Celsius to 26 Celsius? The specific heat capacity of
    10·1 answer
  • During takeoff, an airplane goes from 0 to 60 m/s in 10 s.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!