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
Firlakuza [10]
3 years ago
8

A mass is attached to the end of a spring and set into simple harmonic motion with an amplitude A on a horizontal frictionless s

urface. Determine the following in terms of only the variable A.
(a) Magnitude of the position (in terms of A) of the oscillating mass when its speed is 50% of its maximum value.
(b) Magnitude of the position (in terms of A) of the oscillating mass when the elastic potential energy of the spring is 50% of the total energy of the oscillating system.
Physics
1 answer:
IgorLugansk [536]3 years ago
5 0

Answer:

Explanation:

Assuming  motion of equation of SHM as

x=A\cos \omega t

where, A=amplitude

\omega =angular\ frequency

t=time

thus velocity at any Point x is given by

v=\omega \Sqrt{A^2-x^2}

when speed is 50 % of its maximum value

v=0.5 A\omega

0.5 A\omega =\omega \Sqrt{A^2-x^2}

\frac{A^2}{4}=A^2-x^2

x=\frac{\sqrt{3}}{2}A

(b)When Potential Energy is 50 % of total energy

Total Energy =\frac{1}{2}kA^2

potential energy at any x is given by U=\frac{1}{2}kx^2

U=0.5\times \frac{1}{2}kA^2

\frac{1}{2}kx^2=0.5\times \frac{1}{2}kA^2

x=\frac{A}{\sqrt{2}}

   

You might be interested in
A solid plastic ball hits a stationary tennis ball in a perfectly elastic collision. If the mass of the plastic ball is three ti
ivanzaharov [21]

The two balls separate but continue to move in the same direction

3 0
3 years ago
Read 2 more answers
3. What is the gravitational force between a 70 kg physics student and her 1 kg textbook, at a distance of 1 meter? (This number
Rina8888 [55]

ANSWER

\begin{equation*} 4.67*10^{-9}\text{ }N \end{equation*}

EXPLANATION

Parameters given:

Mass of the student, M = 70 kg

Mass of the textbook, m = 1 kg

Distance, r = 1 m

To find the gravitational force acting between the student and the textbook, apply the formula for gravitational force:

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

where G = gravitational constant

Therefore, the gravitational force acting between the student and the textbook is:

\begin{gathered} F=\frac{6.67430*10^{-11}*70*1}{1^2} \\  \\ F=4.67*10^{-9}\text{ }N \end{gathered}

That is the answer.

6 0
1 year ago
Many of water's emergent properties, such as its cohesion, its high specific heat, and its high heat of vaporization, result fro
Bingel [31]

Answer:

Option 5.

Explanation:

Many of the properties of water like high specific heat, cohesion, high vaporization heat, etc can be contributed to the polar nature of water molecule.

Water being a polar molecule as it contains positively charged hydrogen and an electro-negative oxygen which results in uneven or non uniformity in sharing of electrons which leads to dipole formation and hence polarization of the molecule due to which it attracts its neighboring molecules.

This polar nature imparts the properties like cohesion, surface tension , adhesion, etc due to the presence of hydrogen bonds in water molecule.

3 0
3 years ago
A 2,700-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the colli
Leto [7]

Answer:

6200 J

Explanation:

Momentum is conserved.

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

The car is initially stationary.  The truck and car stick together after the collision, so they have the same final velocity.  Therefore:

m₁ u₁ = (m₁ + m₂) v

Solving for the truck's initial velocity:

(2700 kg) u = (2700 kg + 1000 kg) (3 m/s)

u = 4.11 m/s

The change in kinetic energy is therefore:

ΔKE = ½ (m₁ + m₂) v² − ½ m₁ u²

ΔKE = ½ (2700 kg + 1000 kg) (3 m/s)² − ½ (2700 kg) (4.11 m/s)²

ΔKE = -6200 J

6200 J of kinetic energy is "lost".

3 0
3 years ago
If you wanted to increase the gravitational force between two objects what would you do
adelina 88 [10]
Double the force on the object
6 0
3 years ago
Read 2 more answers
Other questions:
  • How much of earths gravitational force acts on everyone and everything onboard of the international space station?
    7·1 answer
  • You want to launch a stone using the elastic band of a slingshot. The force that the elastic band applies to an object is given
    6·1 answer
  • How would I graph the data in the table on the graph? ********WORTH 50 POINTS********WILL MARK BRAINLIEST**********
    11·2 answers
  • Assume that charge −q is placed on the top plate, and +q is placed on the bottom plate. What is the magnitude of the electric fi
    12·1 answer
  • A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her orig
    10·1 answer
  • What is the word that means Have adapted to antibiotics
    11·1 answer
  • A car traveling at 38 m/s starts to decelerate steadily. It comes to a complete stop in 7 seconds. What is its acceleration?
    6·1 answer
  • Can electrostatic attract both pull and pull?
    14·2 answers
  • Despite the use of diffrent types of measurement in our country<br>​
    13·1 answer
  • The Earth's escape speed (the speed you need to get away forever) is about 40,000 kilometers per hour. Escape speed depends on t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!