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
Hoochie [10]
3 years ago
11

A 0.750 kg block is attached to a spring with spring constant 13.0 N/m . While the block is sitting at rest, a student hits it w

ith a hammer and almost instantaneously gives it a speed of 31.0 cm/s . What areA) The amplitude of the subsequent oscillations?
Express your answer with the appropriate units.

B) The block's speed at the point where x= 0.750 A?
Express your answer with the appropriate units.
Physics
1 answer:
trapecia [35]3 years ago
7 0

To solve this problem we will apply the concepts related to energy conservation. From this conservation we will find the magnitude of the amplitude. Later for the second part, we will need to find the period, from which it will be possible to obtain the speed of the body.

A) Conservation of Energy,

KE = PE

\frac{1}{2} mv ^2 = \frac{1}{2} k A^2

Here,

m = Mass

v = Velocity

k = Spring constant

A = Amplitude

Rearranging to find the Amplitude we have,

A = \sqrt{\frac{mv^2}{k}}

Replacing,

A = \sqrt{\frac{(0.750)(31*10^{-2})^2}{13}}

A = 0.0744m

(B) For this part we will begin by applying the concept of Period, this in order to find the speed defined in the mass-spring systems.

The Period is defined as

T = 2\pi \sqrt{\frac{m}{k}}

Replacing,

T = 2\pi \sqrt{\frac{0.750}{13}}

T= 1.509s

Now the velocity is described as,

v = \frac{2\pi}{T} * \sqrt{A^2-x^2}

v = \frac{2\pi}{T} * \sqrt{A^2-0.75A^2}

We have all the values, then replacing,

v = \frac{2\pi}{1.509}\sqrt{(0.0744)^2-(0.750(0.0744))^2}

v = 0.2049m/s

You might be interested in
the declaration of Independence discusses the protection of natural rights. These rights include the right life liberty and the
nikdorinn [45]

Answer:

i can't understand ur question

4 0
3 years ago
Describe how the sound from the radio reaches all parts of the room?? (2m)
Evgen [1.6K]
Sound waves travel around the boxed room causing them to bounce off the nearest walls to the end of the room
5 0
3 years ago
Opaque magenta appears to be what color under yellow light?
Sauron [17]
Answer:

The Answer is blue
3 0
3 years ago
State the relative position for the sun and earth during the lunar eclipse (ASAP)
Mademuasel [1]

Answer:

Solar eclipses result from the Moon blocking the Sun relative to the Earth; thus Earth, Moon and Sun all lie on a line. Lunar eclipses work the same way in a different order: Moon, Earth and Sun all on a line. In this case the Earth's shadow hides the Moon from view.

8 0
3 years ago
a.) Write the equation to represent the path of the football. b.) What is the initial speed of the football? C.) How high was th
stepladder [879]

Answer:

I think y = 49x+3.5  

Explanation:

8 0
2 years ago
Other questions:
  • A parachutist with a camera, both descending at a speed of 10.8 m/s, releases that camera at an altitude of 50 m. In this proble
    11·1 answer
  • is the following sentence true or false? the faster the particles of a substance are moving, the more energy they have.
    13·2 answers
  • If you were to come back to our solar system in 6 billion years what might you expect to find
    13·1 answer
  • True or False? Materials that are good conductors of heat are usually poor conductors of electricity.
    11·2 answers
  • For the past four years, Mr. Thompson has kept a pet boa constrictor in his science classroom. At the beginning of each year, hi
    12·2 answers
  • say I have two rocks of different sizes but are taken from the same rock. Will their density be equalvilent
    13·1 answer
  • A pontoon boat travels across a lake in a straight line and increases in speed uniformly from vi = 18.5 m/s to vf = 36.0 m/s in
    14·1 answer
  • Can yall help me please?? I can't get it wrong!
    15·2 answers
  • If you shake one end of a rope up and down , a wave passes through the rope. Which type of wave is it?
    10·2 answers
  • What is kinematics??? +_+​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!