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
Dmitriy789 [7]
3 years ago
15

A tray is moved horizontally back and forth in simple harmonic motion at a frequency of f = 2.07 Hz. On this tray is an empty cu

p. Obtain the coefficient of static friction between the tray and the cup, given that the cup begins slipping when the amplitude of the motion is 3.13 cm.
Physics
2 answers:
Anettt [7]3 years ago
6 0

Answer:

Explanation:

Given

Frequency of SHM is f=2.07\ Hz

Amplitude of SHM is A=3.13\ cm

Cup begins to slip when it overcomes the friction force

Friction force F_s=\mu mg

Applied force F=ma

ma=\mu mg

a=\mu g

and maximum acceleration during SHM is

a=A\omega ^2

a=A(2\pi f)^2

a=3.13\times 10^{-2}\times (2\pi 2.07)^2

a=5.296\ m/s^2

\mu =\frac{a}{g}

\mu =\frac{5.296}{9.8}=0.54

IceJOKER [234]3 years ago
6 0

Answer:

The coefficient of static friction between the tray and the cup is 0.53.

Explanation:

Given that,

Frequency f= 2.07 Hz

Amplitude x= 3.13 cm

We need to calculate the acceleration

Using formula of acceleration

a=\omega^2\times x

a=(2\pi\times f)^2\times x

Put the value into the formula

a=(2\pi\times2.07)^2\times3.13\times10^{-2}

a=5.29\ m/s^2

We need to calculate the coefficient of static friction between the tray and the cup

Using formula of normal force

F = ma

For slipping just start,

Using frictional force

F=F_{f}

ma=\mu mg

a=\mu g

\mu=\dfrac{a}{g}

Put the value into the formula

\mu=\dfrac{5.29}{9.8}

\mu=0.53

Hence, The coefficient of static friction between the tray and the cup is 0.53.

You might be interested in
Why is the motion of an athlete moving along the circular path with Constant speed considered to be an accelerated motion?
Strike441 [17]

The speed is changing its direction all the time. There is an acceleration which changes the direction of the speed – that is called centripetal acceleration. Only uniform linear motions are considered to have no acceleration.

This is the general formula for acceleration

a = dv/dt

When calculating dv, you should keep in mind the change in the velocity vector’s direction. You can easily see in a graph that with dt tending to 0 (so the length of the arc covered is also tending to 0), the difference between vectors Vf and V0 has a direction which is perpendicular to velocity (the shorter the arc, the closest the angle is to 90 degrees).

There is a formula (which can be deducted from the previous formula) which allows you to calculate the acceleration:

a = v^2/r

Let’s talk about the units:

v is in m/s

r is in m

so v^2/r

is in (m/s)^2/m = (m^2/s^2)/m = m/s^2

which is the same unit as dv/dt:

dv/dt = (m/s)/s= m/s^2

5 0
3 years ago
Which are the three types of mutations?
WITCHER [35]
Replication, Multiplication, and Substitution.
7 0
3 years ago
A. If an electron in a hydrogen atom has an energy of −6.06 × 10^−20 J, which Bohr orbit is it in?
Orlov [11]

Explanation:

yea because cheese and jdouchvehdjdjdbsjjs d d d d d d d d d d djxjxjx s djxbsbs zjxh d d d

3 0
3 years ago
A uniform magnetic field of magnitude 0.23 T is directed perpendicular to the plane of a rectangular loop having dimensions 7.8
Arlecino [84]

Answer:

0.0025116weber/m²

Explanation:

Magnetic field density (B) is the ratio of the magnetic flux (¶) through the loop to its cross sectional area (A).

Mathematically;

B = ¶/A

¶ = BA

Given B = 0.23Tesla which is the magnitude of the magnetic field

Dimension of the rectangular loop = 7.8 cm by 14 cm

Area of the rectangular loop perpendicular to the field B = 7.8cm×14cm

= 109.2cm²

Converting this value to m²

Area of the loop = 109.2 × 10^-4

Area of the loop = 0.01092m²

Magneto flux = 0.23×0.01092

Magnetic flux = 0.0025116weber/m²

3 0
3 years ago
Read 2 more answers
Write the electron configurations for titanium (Ti), vanadium (V), chromium (Cr), and manganese (Mn).
Tomtit [17]
See from periodic table the proton or atomic number of elements u want to know about then as u know first electron shell can hold 2 electrons 2nd can hold eight as well as all others........protons are equal to electrons so divide proton number into shells but remember to use amounts which it can hold

CHEERS !!
8 0
3 years ago
Other questions:
  • What is the difference in quark model of a meson and a baryon? ​
    8·1 answer
  • 6. how do the number of electrons flowing into a light bulb compare to the number of electrons flowing out of it?
    13·1 answer
  • Suppose two comets, comet A and comet B, were orbiting the sun, having the same average orbital radii. If comet A had a higher o
    7·1 answer
  • A student has a displacement of 304 m north in 180 s. What was the student's average velocity?
    15·1 answer
  • find the power needed in a circuit that has a toaster that uses 115 volts and 5 amperes and a hot plate that used 115 volts and
    6·1 answer
  • An object of mass 20g taken at a height of 2m above the ground. Which type of energy is possessed by the object at this height ?
    8·1 answer
  • A 1.2 kg basketball is thrown upwards. What is the potential energy of the basketball at the top of its path if it reaches a hei
    14·1 answer
  • Information about mars' moons.
    13·1 answer
  • A student holding a 324Hz tuning fork approaches a wall at a speed of 6ms^(-1). The speed of sound in air is 336ms^(-1). What fr
    9·1 answer
  • An energy source will supply a constant current into the load if its internal resistance is.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!