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
jek_recluse [69]
3 years ago
13

A block is attached to a horizontal spring and oscillates back and forth on a frictionless horizontal surface at a frequency of

4.42 Hz. The amplitude of the motion is 8.26 x 10-2 m. At the point where the block has its maximum speed, it suddenly splits into two identical parts, only one part remaining attached to the spring.
(a) What is the amplitude and
(b) the frequency of the simple harmonic motion that exists after the block splits?
Physics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

Amplitude = 0.058m

Frequency = 6.25Hz

Explanation:

Given

Amplitude (A) = 8.26 x 10-2 m

Frequency (f) = 4.42Hz

Conversation of energy before split

½mv² = ½KA²

Make A the subject of formula

A = v\sqrt{\frac{m}{k} }

Conversation of energy after split

½(m/2)V'² = ½(m/2)V² = ½KA'²

½(m/2)V² = ½KA'²

Make A the subject of formula

First divide both sides by ½

(m/2)V² = KA'²

Divide both sides by K

\frac{m}{2K}V² = A'²

v\sqrt{\frac{m}{2k} } = A'

Substitute v\sqrt{\frac{m}{k} } for A in the above equation

A' = A/√2

A' = 8.26 x 10^-2/√2

A' = 0.05840702012600882

Amplitude after split = 0.058 (Approximated)

Frequency (f') = f√2

f' = 4.42√2

f' = 6.25082394568908011

Frequency after split = 6.25Hz (approximated)

You might be interested in
A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find th
Igoryamba

A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and the speed when t = 4. f(t) = 12t² + 35 t + 1

Answer:

Velocity = 131 m/s

Speed = 131 m/s

Explanation:

Equation of motion, s = f(t) = 12t² + 35 t + 1

To get velocity of the particle, let us find the first derivative of s

v (t) = ds/dt = 24t + 35

At t = 4

v(4) = 24(4) + 35

v(4) = 131 m/s

Speed is the magnitude of velocity. Since the velocity is already positive, speed is also 131 m/s

5 0
3 years ago
All ions are atoms with a
Cloud [144]
All ions are atoms with a charge
3 0
3 years ago
What is the main difference between magma and lava
Colt1911 [192]
Magma<span> is composed of molten rock and is stored in the Earth's crust. </span>Lava<span> is </span>magma<span> that reaches the surface of our planet through a volcano vent. </span>Lava<span>flow, Hawai.</span>
4 0
3 years ago
Suppose you are in an elevator. As the elevator starts upward, its speed will increase. During this time when the elevator is mo
kkurt [141]

Answer:increased

Explanation:

It is given that elevator speed is increasing while moving upward i.e.its acceleration is increasing .

This causes the apparent to be increased if measured using weighing machine.

considering upward direction to be positive

N-mg=ma

N=m(g+a)

where N=Normal reaction=Apparent weight

a=acceleration of Elevator

thus you feel as if your weight is increased.

6 0
3 years ago
A temporary license permits the holder to drive for up to _ days while the application is reviewed
Ugo [173]
60 days, tell me if I'm correct please.
7 0
3 years ago
Other questions:
  • Kelly is sledding on a snowy hill in the winter. The energy the sled has as it slides down the hill is a form of
    12·2 answers
  • A source charge of 5.0 µC generates an electric field of 3.93 × 105 at the location of a test charge. How far is the test charge
    7·2 answers
  • Please help me, anyone!!!
    6·2 answers
  • In 1991 four English teenagers built an eletric car that could attain a speed of 30.0m/s. Suppose it takes 8.0s for this car to
    10·2 answers
  • A person driving a car suddenly applies the brakes. The car takes 4 s to come to rest while traveling 20 m at constant accelerat
    13·1 answer
  • A machine is brought in to accomplish a task which requires 100 ft.-lbs. of work. Which statements are correct:
    7·1 answer
  • Emigration refers to the number of
    8·1 answer
  • Which car has the most kinetic energy?
    12·1 answer
  • A 20 kg box has 1000 joules of potential energy on a shelf. How high is the shelf?
    14·1 answer
  • Defination of formula bar​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!