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
MakcuM [25]
3 years ago
11

My Notes The linear density rho in a rod 5 m long is 11/ x + 4 kg/m, where x is measured in meters from one end of the rod. Find

the average density rhoave of the rod.
Physics
2 answers:
Lostsunrise [7]3 years ago
5 0
<h2>Corrected Question:</h2>

The linear density ρ in a rod 5 m long is (11x+4) kg/m, where x is measured in meters from one end of the rod. Find the average density ρ(ave)

<h2>Answer:</h2>

157.5kg/m

<h2>Explanation:</h2>

The linear density, ρ, of a rod is given by;

ρ = \frac{m}{l}

Where;

m = mass of the rod

l = length of the rod

The average density ρ(ave) is then, the average of the linear density taken over the entire length of the rod. i.e

ρ(ave) = \int\limits^a_b {p} \, dx            -----------------(ii)

Where;

a and b are the limits of the length of the rod.

b = 0

a = 5m

p = (11x + 4) kg/m         [as given in the question]

Substitute these values into equation (ii) as follows;

ρ(ave) = \int\limits^5_0 {(11x + 4)} \, dx

ρ(ave) = [\frac{11x^2}{2} + 4x ]₀⁵

Substitute the integral limits into the equation;

ρ(ave) =  [ \frac{11(5)^2}{2} + 4(5) ] - [\frac{11(0)^2}{2} + 4(0)]

ρ(ave) =  [ \frac{11(5)^2}{2} + 4(5)]

ρ(ave) =  [ 137.5 + 20)]

ρ(ave) =  157.5

Therefore, the average density of the rod is 157.5kg/m

dedylja [7]3 years ago
3 0

Answer:

ρ(ave) = 29.1 kg/m

Explanation:

The average value of a function over an interval = definite integral computed with the boundaries of the interval divided by the extent of the integral

ρ(ave) = [∫⁵₀ (11x + 4) dx]/(5-0)

ρ(ave) = [(11x²/2) + 4x]⁵₀ ÷ (5)

ρ(ave) = [(11(5²)/2) + (4×2)]/5

ρ(ave) = (137.5 + 8)/5

ρ(ave) = 29.1 kg/m

You might be interested in
suppose the ball has the smallest possible frequency that allows it to go all the way around the circle. what tension in the str
tatyana61 [14]

The complete question is missing, so i have attached the complete question.

Answer:

A) FBD is attached.

B) The condition that must be satisfied is for ω_min = √(g/r)

C) The tension in the string would be zero. This is because at the smallest frequency, the only radially inward force at that point is the weight(force of gravity).

Explanation:

A) I've attached the image of the free body diagram.

B) The formula for the net force is given as;

F_net = mv²/r

We know that angular velocity;ω = v/r

Thus;

F_net = mω²r

Now, the minimum downward force is the weight and so;

mg = m(ω_min)²r

m will cancel out to give;

g = (ω_min)²r

(ω_min)² = g/r

ω_min = √(g/r)

The condition that must be satisfied is for ω_min = √(g/r)

C) The tension in the string would be zero. This is because at the smallest frequency, the only radially inward force at that point is the weight(force of gravity).

5 0
3 years ago
Explain why gases are more compressible than solid
Oduvanchick [21]

Answer:

If we put pressure on a solid or a liquid, there is essentially no change in volume. ... The kinetic-molecular theory explains why gases are more compressible than either liquids or solids. Gases are compressible because most of the volume of a gas is composed of the large amounts of empty space between the gas particles.

Explanation:

7 0
3 years ago
To move a heavy couch across a carpeted floor what could be used to decrease the frictional force
vitfil [10]

Use a piece of cardboard

7 0
3 years ago
Read 2 more answers
HELLO ONCE MORE FRIENDS . PLEASE HELP ME.
tatuchka [14]

Answer:

Do u want to talk?

Explanation:

5 0
3 years ago
Read 2 more answers
1. What are the units of : pressure, force , area
White raven [17]

Pressure- Pascal(N/m^2)

Force- Newton

Area-m^2(Square metre)

<u>Explanation:</u>

  • Pressure is force continuous force applied to an object. The applied force is always perpendicular to the surface of the object.
  • Force is a push or pulls on an object by an external body where it changes its state from rest to motion.
  • Force is said to have both magnitude and direction.
  • Area is the portion that shows the scale of a 2D form or configuration in the level. The covering area is its analog on the 2D surface of a 3D object.
6 0
3 years ago
Other questions:
  • A monatomic ideal gas in equilibrium at a pressure of 3 kPa and a temperature of 300 K is initially confined in a volume of 1.3
    13·1 answer
  • A man drops a rock into a well. (a) the man hears the sound of the splash 2.90 s after he releases the rock from rest. the speed
    7·1 answer
  • Which of the following is an appropriate receive filter bandwidth for minimizing noise and interference for CW reception?A. 500
    10·1 answer
  • What are the 2 forms of memory retrieval?
    15·1 answer
  • Carmen is heating some water and trying to measure the temperature of water using a Celsius thermometer. Which measurement can s
    7·2 answers
  • A high-mass star has more "fuel" than a low-mass star. which lives longer? why?
    11·1 answer
  • You notice that heat is released during a chemical reaction. This reaction is a(n) _______ reaction. endothermic heat hot exothe
    11·1 answer
  • PLS ANSWER FAST WILL GIVE BRAINLY!!!!!!!
    9·2 answers
  • Compare the number of electrons with the number of protons in a charged object.
    8·1 answer
  • When spray is applied to a car, the paint has a negative charge and the surface of the car has a positive charge. Some processes
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!