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madreJ [45]
3 years ago
5

A tray is moved horizontally back and forth in simple harmonic motion at a frequency of f = 2.20 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 5.50 10-2 m.
Physics
1 answer:
Kruka [31]3 years ago
6 0

Answer:

Coefficient of friction will be 0.9738

Explanation:

We have given frequency of the motion f = 2.20 Hz

So angular frequency \omega =2\pi f=2\times 3.14\times 2.20=13.816rad/sec

Amplitude of the motion A=5.50\times 10^{-2}m

Maximum acceleration is given by a=\omega ^2A=13.816^2\times 5.50\times 10^{-2}=9.544rad/sec^2

Acceleration due to gravity g=9.8m/sec^2

We know that acceleration is given by a=\mu g

\mu =\frac{a}{g}=\frac{9.544}{9.8}=0.9738

So coefficient of friction will be 0.9738

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A pure jet engine propels an aircraft at 240 m/s through air at 45 kPa and −13°C. The inlet diameter of this engine is 1.6 m, th
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Which of the following mathematical operations are and are not not allowed on two quantities with different unit dimensions?
Katyanochek1 [597]

The following mathematical operations are and are not allowed on two quantities with different unit dimensions are C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality

To answer the question, we have to know what mathematical operations are.

<h3>What are Mathematical operations?</h3>

Mathematical operations are operations which are performed to change the value of a variable. The arithmetic mathematical operations we have are

  • addition,
  • subtraction,
  • multiplication,
  • subtraction and
  • equality which shows the relationship between two quantities.

Now, for two quantities with different unit dimensions, addition, subtraction and equality are not allowed because these mathematical operations require the quantities to be in the same unit dimensions

Also, for two different quantities with differnt unit dimensions, multiplication and division are allowed because these mathematical operations do not require the quantities to be in the same unit dimensions.

So, the mathematical operations that are allowed are multiplication and division while the mathematical operations that are not allowed are addition, subtraction and equality.

So, the following mathematical operations are and are not allowed on two quantities with different unit dimensions are C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality

Learn more about mathematical operations here:

brainly.com/question/26112472

4 0
2 years ago
The four giant gas planets that are made primarily of lightweight elements are
Hoochie [10]
D) although recent research (1990's) has shown Uranus and Neptune to be ice giants and have heavier substances.
8 0
3 years ago
Two long, straight wires are separated by a distance of 9.15 cm . One wire carries a current of 2.79 A , the other carries a cur
Dafna1 [17]

Answer:

The force is the same

Explanation:

The force per meter exerted between two wires carrying a current is given by the formula

\frac{F}{L}=\frac{\mu_0 I_1 I_2}{2\pi r}

where

\mu_0 is the vacuum permeability

I_1 is the current in the 1st wire

I_2 is the current in the 2nd wire

r is the separation between the wires

In this problem

I_1=2.79 A\\I_2=4.36 A\\r = 9.15 cm = 0.0915 m

Substituting, we find the force per unit length on the two wires:

\frac{F}{L}=\frac{(4\pi \cdot 10^{-7})(2.79)(4.36)}{2\pi (0.0915)}=2.66\cdot 10^{-5}N

However, the formula is the same for the two wires: this means that the force per meter exerted on the two wires is the same.

The same conclusion comes out  from Newton's third law of motion, which states that when an object A exerts a force on an object B, then object B exerts an equal and opposite force on object A (action-reaction). If we apply the law to this situation, we see that the force exerted by wire 1 on wire 2 is the same as the force exerted by wire 2 on wire 1 (however the direction is opposite).

3 0
3 years ago
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