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
dezoksy [38]
3 years ago
9

A brick of mass m = 0.21 kg is set against a spring with a spring constant of k1 = 690 N/m which has been compressed by a distan

ce of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 489 N/m.
(A) How far d2, in meters, will the second spring compress when the block runs into it?
(B) How fast v, in meters per second, will the block be moving when it strikes the second spring?
(C) Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is ?k = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?
Physics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

Part a)

x = 0.12 m

Part b)

v = 5.73 m/s

Part c)

x = 0.11 m

Explanation:

Part a)

As per energy conservation we can say

Energy stored in spring 1 = energy stored in spring 2

\frac{1}{2}k_1x_1^2 = \frac{1}{2}k_2x_2^2

now we have

k_1 = 690 N/m

x_1 = 0.1 m

k_2 = 489 N/m

x_2 = ?

now from above equation

(690)(0.1^2) = 489(x^2)

x = 0.12 m

Part b)

To find the speed of the block we can say that its kinetic energy is gained due to spring energy

so we have

\frac{1}{2}kx^2 = \frac{1}{2}mv^2

now we have

\frac{1}{2}(690)(0.1^2) = \frac{1}{2}(0.21)v^2

v = 5.73 m/s

Part c)

When friction is present between two springs then we have energy loss due to friction force

so we have

\frac{1}{2}k_1x_1^2 - \mu mgd = \frac{1}{2}k_2x_2^2

now we have

\frac{1}{2}(690)(0.1)^2 - (0.2)(0.21)(9.8)(1) = \frac{1}{2}(489) x^2

3.45 - 0.4116 = 244.5 x^2

x = 0.11 m

You might be interested in
Derive the formula 2as=v² -u² where the formula have have usual meanings
attashe74 [19]

Answer:The main formula is v² = u² + 2as

Explanation:

S=½(u +v)t

t = v+u/a

S=½(v-u)(v+u/a)

S=½v²+uv-uv-u²/a

2as=v²-u²

5 0
3 years ago
Compare and Contrast the two main branches of physical science. How are they the same? How are they different?
nignag [31]
Physics
Chemistry


Physical science is science which studies non-living things.This covers things on earth to the universe.The main branches are physics and chemistry.The other sub-branches are Astronomy, meteorology and Geology.Physics is concerned with the basic principals of matter and energy.It covers concepts in motion, energy, force, pressure , light and many other areas we encounter in our day to day life.Chemistry is concerned with composition of matter and how it reacts.Material in chemistry is understood through observing molecules, atoms, elements and their interaction in nature including their properties.Chemistry is further divided into organic chemistry and natural chemistry sub-branches.

Hope this helps you!!!
8 0
2 years ago
What is the magnitude of velocity for a 2,000 kg car possessing 3,000 kg(*)m/s of momentum?
Trava [24]

The magnitude of velocity for this car is equal to 1.5 m/s.

<u>Given the following data:</u>

  • Momentum of car = 3,000 kgm/s.
  • Mass of car = 2,000 kg.

To calculate the magnitude of velocity for this car:

<h3>What is momentum?</h3>

In Science, momentum simply means a multiplication of the mass of an object and its velocity.

Mathematically, momentum is giving by the formula;

Momentum = mass \times velocity

Making velocity the subject of formula, we have:

Velocity=\frac{Momentum}{Mass}

Substituting the given parameters into the formula, we have;

Velocity=\frac{3000}{2000}

Velocity = 1.5 m/s.

Read more on momentum here: brainly.com/question/15517471

5 0
3 years ago
What is the acceleration of an object that goes from 45m/s to 10 m/s in 5 seconds?
kipiarov [429]

Answer:

\boxed {\boxed {\sf a= -7 \ m/s^2}}

Explanation:

Acceleration is the change in velocity over time.

a= \frac {v_f-v_i}{t}

The object accelerates <em>from</em> 45 meters per second <em>to </em>10 meters per second in 5 seconds. Therefore,

v_f=10 \ m/s \\v_i= 45 \ m/s \\t= 5 \ s

Substitute the values into the formula.

a= \frac{ 10 \ m/s - 45 \ m/s}{5 \ s}

Solve the numerator.

a= \frac { -35 \ m/s}{5 \ s}

Divide.

a= -7 \ m/s/s

a= -7 \ m/s^2

The acceleration of the object is -7 meters per square second. The acceleration is negative because the object's velocity decreases and the object slows down.

5 0
3 years ago
Question 6 is the answer I need
daser333 [38]

Answer:

B

Explanation:

A bicameral system describes a government that has a two-house legislative system, such as the House of Representatives and the Senate that make up the U.S. Congress.

8 0
3 years ago
Other questions:
  • Which of the following is associated with Earth’s lithosphere?
    8·1 answer
  • What is necessary condition for the conservation of momentum?
    8·1 answer
  • At what point in a waterfall, do the drops of water contain the most gravitational potential energy?
    5·1 answer
  • What is the wavelength in nm of a light whose first order bright band forms a
    8·1 answer
  • A 1,200-watt water heater is plugged into a 120-volt outlet and used for 1.5 hours. How much current runs through the vacuum?
    5·2 answers
  • A plastic rod that has been charged to -15.0nC touches a metal sphere. Afterward, the rod's charge is -10.0nC. How many charged
    10·1 answer
  • PLEASE HELP!!
    12·1 answer
  • As the broadcaster speakers the sound wave being produced by
    6·1 answer
  • Why is “soft” iron used for the core of an electromagnet?
    12·1 answer
  • What is the amplitude of a wave related to?<br> speed<br><br> time<br><br> mass<br><br> height
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!