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
Ber [7]
3 years ago
8

A 0.300 kg block is pressed against a spring with a spring constant of 8050 N/m until the spring is compressed by 6.00 cm. When

released, the block slides along a horizontal surface that is frictionless except for a 7.00 m long rough section.
a) The block comes to a stop exactly at the end of the rough section. What is the coefficient of kinetic friction between the block and the rough section?

b) The rough section is now polished, so that the entire track is frictionless. The block slides along the surface and into the circular loop at the end. If the normal force between the loop and the block is 90.0 N when the block reaches point P (the exact top of the loop), what is the radius R of the circular loop?
Physics
1 answer:
natita [175]3 years ago
5 0

Answer:

a) \mu_{k} = 0.704, b) R = 0.312\,m

Explanation:

a) The minimum coeffcient of friction is computed by the following expression derived from the Principle of Energy Conservation:

\frac{1}{2}\cdot k \cdot x^{2} = \mu_{k}\cdot m\cdot g \cdot \Delta s

\mu_{k} = \frac{k\cdot x^{2}}{2\cdot m\cdot g \cdot \Delta s}

\mu_{k} = \frac{\left(8050\,\frac{N}{m} \right)\cdot (0.06\,m)^{2}}{2\cdot (0.3\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot (7\,m)}

\mu_{k} = 0.704

b) The speed of the block is determined by using the Principle of Energy Conservation:

\frac{1}{2}\cdot k \cdot x^{2} = \frac{1}{2}\cdot m \cdot v^{2}

v = x\cdot \sqrt{\frac{k}{m} }

v = (0.06\,m)\cdot \sqrt{\frac{8050\,\frac{N}{m} }{0.3\,kg} }

v \approx 9.829\,\frac{m}{s}

The radius of the circular loop is:

\Sigma F_{r} = -90\,N -(0.3\,kg)\cdot (9.807\,\frac{m}{s^{2}} ) = -(0.3\,kg)\cdot \frac{v^{2}}{R}

\frac{\left(9.829\,\frac{m}{s}\right)^{2}}{R} = 309.807\,\frac{m}{s^{2}}

R = 0.312\,m

You might be interested in
In a football game, running back is at the 10 yard line and running up the field towards the 50 yard line, and runs for 3 second
lakkis [162]
If he keeps that pace he will be at the 34 yard line
7 0
3 years ago
Why is a protective apron or lab coat important to use when working with acids?
Kipish [7]

Answer:

Acids break down fabrics and can cause burns if the acids are strong.

Explanation:

A protective apron or lab coat is important when working with acids because acids break down fabrics and can cause burns if the acids are strong.

  • An acid is a substance that interacts with water to produce excess hydroxonium ions in an aqueous solution.
  • A strong acid ionizes completely in solution.
  • When they come in contact with a fabric, they break them down violently.
  • So, if they come in contact with the skin, it causes a violent break down of body tissues.
  • The apron acts a protective layer.
4 0
3 years ago
Read 2 more answers
Suppose astronomers find an earthlike planet that is twice the size of Earth (that is, its radius is twice the radius of Earth).
JulijaS [17]

Answer:

4 times the mass of Earth

Explanation:

M_1 = Mass of Earth

M_2 = Mass of the other planet

r = Radius of Earth

2r = Radius of the other planet

m = Mass of object

The force of gravity on an object on Earth is

F=\frac{GM_1m}{r^2}

The force of gravity on an object on the other planet is

F=\frac{GM_2m}{(2r)^2}

As the forces are equal

\frac{GM_1m}{r^2}=\frac{GM_2m}{(2r)^2}\\\Rightarrow M_1=\frac{M_2}{4}\\\Rightarrow M_2=4M_1

So, the other planet would have 4 times the mass of Earth

6 0
3 years ago
When the notebook is sitting on the table, what force prevents it from falling into the space below the table? If you don’t know
Xelga [282]

Answer:

reaction force/normal force (its when the tables kinda pushing from under so it doesnt fall)

and the notebook wont float bc of gravity

Explanation:

theres a quizlet on this if you wanna check it out lol

4 0
2 years ago
What is the main way that scientists determine which conditions can support life
liraira [26]
Bacteria they use bacteria there’s a microscope thing in the area and I see a lot of things and if the bacteria is some type away then they would find a medicine to treat direct her than hope everybody else
3 0
3 years ago
Other questions:
  • From your understanding of the relationship between temperature and pressure, what temperature would boiling water attain in the
    14·2 answers
  • Why is cell called structual unit of life​
    13·1 answer
  • Describe two examples of activities that you do where you depend on friction, and would not be able to do them without friction.
    8·1 answer
  • A cooling fan is turned off when it is running at 850 rev/min. It turns 1500 revolutions before it comes to a stop. (a) What was
    6·1 answer
  • A mass of 267 g is attached to a spring and set into simple harmonic motion with a period of 0.176 s. If the total energy of the
    9·1 answer
  • 2
    7·1 answer
  • A 1.30 kg ball is attached to a ceiling by a
    8·1 answer
  • You kick a soccer ball with a speed of 31 m/s at an angle of 50 degrees. How long does it take the ball to reach the top of its
    10·1 answer
  • Brainliest if correct Question 2 of 10
    12·1 answer
  • vector ????⃗ has a magnitude of 17.9 and its direction is 80∘ counter‑clockwise from the x- axis. what are the x- and y- compone
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!