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
Fittoniya [83]
3 years ago
14

A metal ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 11.0 cm, and the spring

constant is 5.50 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 27.2 cm/s.(a) What is the mass of the ball (in kg)?(b) What is the period of oscillation (in s)?(c) What is the maximum acceleration of the ball? (Enter the magnitude in m/s2.)
Physics
1 answer:
german3 years ago
7 0

Answer:

a)0.674 kg b) 2.2 s c) 0.9 m/s²

Explanation:

The amplitude of the ball (xo) = 11.0cm, half way between its equilibrium point its maximum displacement x = 11 cm / 2 = 5.5 cm = 5.5 / 100 in meters = 0.055 meters, speed at this point = 27.2 cm /s = (27.2 / 100) in m/s = 0.272 m/s,

spring constant K = 5.5 N/m

a) The mass of the ball (m) can be calculated using the formula below

v =√ (x²o - x²)K/m

make m subject of the formula

v² = (xo² - x²) K/m

m = K ( xo² - x²) / v²

m = 0.674kg

b) The period of the oscillation can be calculated by the following formula

T = 2π√ (m /K)

substitute the values into the formula

T = 2 × 3.142 × √ (0.674/ 5.5) = 2.2s

c) The maximum acceleration of the ball which occurs at the maximum displacement of the ball can be calculated by the following formula

a = K / m × x ( maximum displacement of the body) = 5.5 / 0.674 × 0.11 = 0.9 m/s²

You might be interested in
2. What is one way that science helps shape society?
zhuklara [117]

Answer:Science is valued by society because the application of scientific knowledge helps to satisfy many basic human needs and improve living standards. Finding a cure for cancer and a clean form of energy are just two topical examples.

Explanation:

4 0
3 years ago
Through which one of the following mediums is the velocity of a sound wave the greatest?
tino4ka555 [31]

Answer: C. Steel

Explanation: When a sound wave travels through a solid body consisting

of an elastic material, the velocity of the wave is relatively

high. For instance, the velocity of a sound wave traveling

through steel (which is almost perfectly elastic) is about

5,060 meters per second. On the other hand, the velocity

of a sound wave traveling through an inelastic solid is

relatively low. So, for example, the velocity of a sound wave

traveling through lead (which is inelastic) is approximately

1,402 meters per second.

4 0
3 years ago
Read 2 more answers
Is the Earth getting larger as more sea floor is added? explain
Natasha_Volkova [10]

The seafloor is only expanding in one area, which is the Atlantic Ocean. It's just Earth's seafloor recylcing itself.

4 0
3 years ago
How long will it take a car to travel a distance of 1km if it has an average speed of 60kph​
beks73 [17]

Answer:

1÷60 h

time equals distance upon speed

6 0
3 years ago
A block is resting on a platform that is rotating at an angular speed of 2.4 rad/s. The coefficient of static friction between t
Sloan [31]

Answer:

r = 0m is the Minimum distance from the axis at which the block can remain in place wothout skidding.

Explanation:

From a sum of forces:

Ff = m*a   where Ff = μ * N    and a = \frac{V^2}{r}=\omega^2*r

N - m*g = 0   So, N = m*g.   Replacing everything on the original equation:

\mu*m*g = m*\omega^2*r   (eq2)

Solving for r:

r = \frac{\mu*g}{\omega^2}=1.41m

If we analyze eq2 you can conclude that as r grows, the friction has to grow (assuming that ω is constant), so the smallest distance would be 0 and the greatest 1.41m. Beyond that distance, μ has to be greater than 0.83.

4 0
3 years ago
Other questions:
  • Lizette works in her school’s vegetable garden. Every Tuesday, she pulls weeds for 15 minutes. Weeding seems like a never-ending
    15·2 answers
  • When a solid is in the process of changing into a liquid and extra energy is added to the system, the temperature does not chang
    12·2 answers
  • What is the definition of permitted orbits ?
    5·1 answer
  • 4.7 cm. The tube is sealed at one end and loaded with lead shot to give it a total mass of M = 130 g. The tube floats in water (
    5·1 answer
  • If the number of homes with a pet dog is equal to 250, how many total homes are represented by the chart?
    6·1 answer
  • A small, positively charged ball is moved close to a large, positively charged ball. which describes how the small ball likely r
    13·2 answers
  • What is the gravitation force between you and your friend between 1 km
    7·1 answer
  • An object initially at rest accelerates at 5 meters per second2 until it attains a speed of 30 meters per second. What distance
    14·1 answer
  • A vehicle with a mass of 2,553 kg accelerates at 10 m/s2. Find the force on the vehicle in Newtons.​
    9·1 answer
  • The law of Conservation of energy states that energy can be transformed from one form to another, but it cannot be _______ or __
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!