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
sleet_krkn [62]
3 years ago
5

You need to move a 132 kg sofa to a different location in the room. It takes a force

Physics
1 answer:
nataly862011 [7]3 years ago
6 0

Let <em>w</em> denote the weight of the sofa, <em>n</em> the magnitude of the normal force, and <em>f</em> the magnitude of the friction force. The sofa is in equilibrium, so by Newton's second law,

<em>n</em> - <em>w</em> = 0

125 N - <em>f</em> = 0

The sofa has a weight of

<em>w</em> = (132 kg) <em>g</em> = 1293.6 N

where <em>g</em> = 9.80 m/s² is the magnitude of the acceleration due to gravity. Since <em>n</em> = <em>w</em>, the normal force has the same magnitude.

The friction force is proportional to the normal force by a factor of the coefficient of static friction <em>µ</em>, such that

<em>f</em> = <em>µ</em> <em>n</em>

Our second equation tells us <em>f</em> = 125 N, so solve for <em>µ</em> :

125 N = <em>µ</em> (1293.6 N)

<em>µ</em> ≈ 0.0966

You might be interested in
A wire carrying a 29.0 A current passes between the poles of a strong magnet such that the wire is perpendicular to the magnet's
Dmitrij [34]

Answer:

2.59 T

Explanation:

Parameters given:

Current flowing through the wire, I = 29 A

Angle between the magnetic field and wire, θ = 90°

Magnetic force, F = 2.25 N

Length of wire, L = 3 cm = 0.03 m

The magnetic force, F, is related to the magnetic field, B, by the equation below:

F = I * L * B * sinθ

Inputting the given parameters:

2.25 = 29 * 0.03 * B * sin90

2.25 = 0.87 * B

=> B = 2.25/0.87

B = 2.59 T

The magnetic field strength between the poles is 2.59 T

4 0
3 years ago
Calculate net force <br> 532N 215N
lorasvet [3.4K]

Answer:

FN is the forces acting on a body. When the body is at rest, the net force formula is given by, FNet = Fa + Fg.

Im in 7th and thats all I know so I hope it's enough

8 0
3 years ago
you give a shopping cart a job down the aisle the cart is full of groceries and has a mass of 18 kilograms the cart accelerates
mezya [45]

                 Force = (mass) x (acceleration)

                 Force = (18 kg) x (3 m/s²) = 54 newtons

As long as you continue pushing the cart with 54 newtons of force,
it will accelerate at 3 m/s². 

At the instant you release it, or keep your hands on it but stop pushing,
it will stop accelerating.  It'll continue forward at the speed it had when
the 54 newtons of force stopped.
6 0
2 years ago
Read 2 more answers
How does the electric force between two charged participles change if one particle’s charge is reduced by a factor of 3?
Eva8 [605]

Answer:

ick

Explanation:

Me down daddy

3 0
3 years ago
A 175-kg roller coaster car starts from rest at the top of an 18.0-m hill and rolls down the hill, then up a second hill that ha
Anni [7]

Answer:

The work done by non-conservative forces on the car from the top of the first hill to the top of the second hill is 6574.75 joules.

Explanation:

By Principle of Energy Conservation and Work-Energy Theorem we present the equations that describe the situation of the roller coaster car on each top of the hill. Let consider that bottom has a height of zero meters.

From top of the first hill to the bottom

m\cdot g \cdot h_{1} = \frac{1}{2}\cdot m\cdot v_{1}^{2} +W_{1, loss} (1)

From the bottom to the top of the second hill

\frac{1}{2}\cdot m\cdot v_{1}^{2} = m\cdot g \cdot h_{2} + \frac{1}{2}\cdot m \cdot v_{2}^{2}+W_{2,loss} (2)

Where:

m - Mass of the roller coaster car, in kilograms.

v_{1} - Speed of the roller coaster car at the bottom between the two hills, in meters per second.

g - Gravitational acceleration, in meters per square second.

h_{1} - Height of the first top of the hill with respect to the bottom, in meters.

W_{1, loss} - Work done by non-conservative forces on the car between the top of the first hill and the bottom, in joules.

v_{2} - Speed of the roller coaster car at the top of the second hill, in meters per seconds.

h_{2} - Height of the second top of the hill with respect to the bottom, in meters.

W_{2, loss} - Work done by non-conservative forces on the car bewteen the bottom between the two hills and the top of the second hill, in joules.

By using (1) and (2), we reduce the system of equation into a sole expression:

m\cdot g\cdot h_{1} = m\cdot g\cdot h_{2} + \frac{1}{2}\cdot m \cdot v_{2}^{2} + W_{loss} (3)

Where W_{loss} is the work done by non-conservative forces on the car from the top of the first hill to the top of the second hill, in joules.

If we know that m = 175\,kg, g = 9.807\,\frac{m}{s^{2}}, h_{1} = 18\,m, h_{2} = 8\,m and v_{2} = 11\,\frac{m}{s}, then the work done by non-conservative force is:

W_{loss} = m\cdot\left[ g\cdot \left(h_{1}-h_{2}\right)-\frac{1}{2}\cdot v_{2}^{2} \right]

W_{loss} = 6574.75\,J

The work done by non-conservative forces on the car from the top of the first hill to the top of the second hill is 6574.75 joules.

8 0
2 years ago
Other questions:
  • Lasers utilize concentrated light waves, focused precisely and used for certain applications. What are some common uses of laser
    8·2 answers
  • A bicycle wheel rotates at a constant 25 rev/min. What is true about its angular acceleration?
    6·1 answer
  • How much would you weigh on an imaginary planet that has no gravitational force?<br><br>​
    7·1 answer
  • Any material that allows thermal energy to pass through easily is a?
    5·1 answer
  • An elderly sailor is shipwrecked on a desert island but manages to save his eyeglasses. The lens for one eye has a power of 1.16
    6·1 answer
  • Please need help on this thank you
    11·1 answer
  • A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.4 ft/s,
    9·1 answer
  • Transverse thrusters are used to make large ships fully maneuverable at low speeds without tugboat assistance. A transverse thru
    9·1 answer
  • What important example, shown in the picture, is given regarding a real-life
    5·1 answer
  • Please help ASAP- A book has a mass of 5 kg, a baby has a mass of 5 kg. Which one weighs more?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!