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
Fiesta28 [93]
2 years ago
10

A 3.0 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determi

ne the force constant (in N/m) of the spring, if the box compresses the spring 6.6 cm before coming to rest.
(b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.8 cm.
Physics
2 answers:
krok68 [10]2 years ago
8 0

Answer:

a) k = 2231.40 N/m

b) v = 0.491 m/s

Explanation:

Let k be the spring force constant , x be the compression displacement of the spring and v be the speed of the box.

when the box encounters the spring, all the energy of the box is kinetic energy:

the energy relationship between the box and the spring is given by:

1/2(m)×(v^2) = 1/2(k)×(x^2)

    (m)×(v^2) = (k)×(x^2)

a) (m)×(v^2) = (k)×(x^2)

                 k = [(m)×(v^2)]/(x^2)

                 k = [(3)×((1.8)^2)]/((6.6×10^-2)^2)

                 k = 2231.40 N/m

Therefore, the force spring constant is 2231.40 N/m

b) (m)×(v^2) = (k)×(x^2)

             v^2 = [(k)(x^2)]/m

                 v =  \sqrt{ [(k)(x^2)]/m}

                 v = \sqrt{ [(2231.40)((1.8×10^-2)^2)]/(3)}

                    = 0.491 m/s

bagirrra123 [75]2 years ago
6 0

Answer:

(a) Spring constant k = 2231.4 N/m

(b) Velocity v = 0.49 m/sec

Explanation:

We have given mass of the box m = 3 kg

Speed v = 1.8 m/sec

(a) The spring is stretched by 6.6 cm so x = 6.6 cm = 0.066 m

From energy conservation we know that

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

\frac{1}{2}\times 3\times 1.8^2=\frac{1}{2}\times k\times 0.066^2

k=2231.40N/m

(b) Here the spring is stretched by 1.8 cm

So x = 1.8 cm = 0.018 m

From energy conservation we know that

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

\frac{1}{2}\times 3\times v^2=\frac{1}{2}\times 2231.40\times 0.018^2

v=0.49m/sec

You might be interested in
What do we call the minimum energy that is required by an electron to leave the metal target in the photoelectric effect?Select
Sergio [31]
The work function is what we call the minimum energy that is required by an electron to leave the metal target in the photoelectric effect. 
6 0
3 years ago
Read 2 more answers
5. Two charged particles are separated by a distance of 12 meters. The Coulomb force between them is 20 N. What will the Coulomb
Leni [432]

Answer:

A) 80 N

Explanation:

The closer the particles get, the stronger the Coulomb force, which elongates choices C and D. The Coulomb force is inversely proportional to the distance squared. If the distance is cut in half, the force is multiplied by the reciprocal of (1/2)^2, which is 4. Multiplying it out, 20 times 4 is 80 N.

8 0
2 years ago
How much elastic potential energy is stored in a bungee cord with a spring constant of 10.0 N/m when the cord is stretched 2.00
Aleonysh [2.5K]

Answer:

<em> The elastic potential energy stored in the bungee cord = 20 J</em>

Explanation:

potential energy: This is the energy possessed by a body due to its position. The S.I unit of energy is Joules. The mathematical expression for elastic potential energy is given below

E = 1/2ke²................ Equation 1

Where E = elastic potential energy of the spring, k = force constant of the spring, e = extension

<em>Given: K = 10 N/m, e = 2.00 m</em>

<em>Substituting these values into Equation 1</em>

<em>E = 1/2(10)(2)²</em>

<em>E = 5×4</em>

<em>E = 20 Joules.</em>

<em>Therefore the elastic potential energy stored in the bungee cord = 20 J</em>

<em></em>

6 0
3 years ago
9. A 50 kg physics i student trudges from the 1st floor to the 3rd floor, going up a total height of 13 m.
SVETLANKA909090 [29]

Answer:

6370 J

Explanation:

By the law of energy conservation, the work done by the student would be the change in potential enegy from 1st floor to 3rd floor, or a change of 13 m

W = E_p = mgh

where m = 50kg is the mass of the student, g = 9.8 m/s2 is the gravitational constant and h = 13 m is the height difference

W = 50*9.8*13 = 6370 J

3 0
3 years ago
A metal block has a density of 5000 kg per cubic meter and a mass of 15,000 kg. What is its volume?
Naily [24]

Taking into account the definition of density, the volume of the metal block is 3 m³.

<h3>What is density</h3>

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.

In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density=\frac{mass}{volume}

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

<h3>Volume of the metal block</h3>

In this case, you know that:

  • Density= 5000 \frac{kg}{m^{3} }
  • Mass= 15000 kg
  • Volume= ?

Replacing in the definition of density:

5000 \frac{kg}{m^{3} } =\frac{15000 kg}{volume}

Solving:

volume×5000 \frac{kg}{m^{3} }= 15000 kg

volume= \frac{15000 kg}{5000 \frac{kg}{m^{3} }}

<u><em>volume= 3 m³</em></u>

In summary, the volume of the metal block is 3 m³.

Learn more about density:

brainly.com/question/952755

brainly.com/question/1462554

#SPJ12

4 0
1 year ago
Other questions:
  • Select all the correct answers.
    10·1 answer
  • The string of a bow and arrow is pulled tight.
    10·1 answer
  • A car accelerates at a constant rate from 12 m/s to 27 m/s while it travels 125 m. How long does it take to achieve this speed?
    8·1 answer
  • If the angle of elevation of the cannon is decreased from 35 to 30 degrees, the vertical component of the ball's initial velocit
    7·1 answer
  • Indicate whether the following statements are always true or can be false. An object's velocity will change if a net force acts
    7·1 answer
  • Speed is usually what
    12·1 answer
  • How does a black hole form
    9·2 answers
  • 10. Solve the following numerical problems
    11·1 answer
  • *Materials that regulate the flow of current through them *
    5·1 answer
  • Question 2 of 10
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!