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]
2 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:
german2 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
At exactly 3:14PM, the velocity of a dog running in a park points toward a group of flowers. Which of the following best describ
dmitriy555 [2]

Answer:

Options A, B, and C are all possible.

Explanation:

We know that the instantaneous velocity of the dog at 3:14PM is possitive to toward the flowers. But what about the acceleration to toward the flowers?

If the dog is decreasing speed at 3:14PM, it means that acceleration is negative toward the flowers, hence (since F=ma) the net force points away from the flowers.

If the dog is increasing speed at 3:14PM, it means that acceleration is positive toward the flowers, hence (since F=ma) the net force points toward the flowers.

If the dog is not increasing nor decreasing speed at 3:14PM, it means that acceleration is 0, hence (since F=ma) the net force is null and it does not point neighter to toward the flowers  nor away from the flowers. This happens when the forces acting on the dog are equal to both sides.

4 0
3 years ago
To practice Problem-Solving Strategy 7.2 Problems Using Mechanical Energy II. The Great Sandini is a 60.0-kg circus performer wh
sp2606 [1]

Answer:

v = 15.45 m/s

Explanation:

As per mechanical energy conservation we can say that here since friction is present in the barrel so we will have

Work done by friction force = Loss in mechanical energy

so we will have

W_f = (U_i + K_i) - (U_f + K_f)

here we know that

W_f = F_f . d

W_f = 40 \times 4

W_f = 160 J

Initial compression in the spring is given as

F = kx

4400 = 1100 x

x = 4 m

now from above equation

W_f = (\frac{1}{2}kx^2 + 0) - (mgh + \frac{1}{2}mv^2)

160 = (\frac{1}{2}1100(4^2) + 0) - (60 \times 9.8\times 2.50 + \frac{1}{2}(60)v^2)

160 = 8800 - 1470 - 30 v^2

v = 15.45 m/s

3 0
3 years ago
A perpetual-motion machine can never be built because it is not possible to eliminate...
bazaltina [42]
The answer is:  [C]:  "elasticity" .
________________________________________
4 0
2 years ago
Read 2 more answers
If object A has more mass than object B, what will object A need to accelerate at the same rate as object B?
Leni [432]

Answer:

More force

Explanation:

Object A has more mass than object B

  For object A to accelerate at the same rate as object B, it will need more force.

According to Newton's second law of motion "the net force on a body is the product of its mass and acceleration".

  Net force  = mass x acceleration

Now, if a body has more mass and needs to accelerate at the same rate as another one with a lower mass, the force on it must be increased.

3 0
2 years ago
What best describes an impulse acting on an object? the net force on an object divided by the time of impact the velocity of an
Leona [35]

Answer:

ok so

Explanation:

Im not sure rn but ill get back to you.

7 0
2 years ago
Other questions:
  • PLEASE HELP!!!!
    12·1 answer
  • A force is directly proportional to what ?
    7·1 answer
  • What is 1 and 2 I need it asap
    14·1 answer
  • gabriel and arely have performed an experiment and are not sure their results are valid. what should they do to check their resu
    11·2 answers
  • I. The substance in model A has the highest density.
    6·1 answer
  • A flywheel flows from 250rpm to 150rpm in 4.2 seconds. How many revolutions occur during this time ​
    5·1 answer
  • Physics help please
    8·1 answer
  • A car is moving with 15000J of energy. If the car has a mass of 1500kg, how fast is it moving?
    10·1 answer
  • An 800 kHz radio signal is detected at a point 3.2 km distant from a transmitter tower. The electric field amplitude of the sign
    11·1 answer
  • When one member of a binary star system is a black hole, and astronomers detect flickering x-rays coming from the system, where
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!