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
solong [7]
3 years ago
13

Using Hooke's law F spring = k dela x, find elastic constant of a spring that stretches 2cm when a 4 newton force is applied to

it
Answers in the picture

Physics
1 answer:
photoshop1234 [79]3 years ago
6 0

Answer: <em>2 N/cm  (B)</em>

Given that:

Spring stretches = 2 cm ,

Force  = 4 N,

<em>determine </em>

            the spring constant/elastic constant ( k)= ?

            We know that from hook's law, <em>F = k.x</em>  N

                                                                 4 = k × 2

                                                                => k  =4/2

                                                                         = 2 N/cm

The elastic constant is 2 N/cm

           

You might be interested in
An explosive projectile is launched straight upward to a maximum height h. At its peak, it explodes, scattering particles in all
Varvara68 [4.7K]

Answer:

θ = tan⁻¹ (\frac{19.6 \ h}{v})

Explanation:

This problem must be solved using projectile launch ratios. Let's analyze the situation, the projectile explodes at the highest point, therefore we fear the height (i = h), the speed at this point is the same, but the direction changes, we are asked to find the smallest angle of the speed in the point of arrival with respect to the x-axis.

The speed at the arrival point (y = 0)

           v² = vₓ² + v_y²

Let's see how this angle changes, for two extreme values:

* The particle that falls from the point of explosion, in this case the speed is vertical

         v = v_y

the angle with the horizontal is 90º

* The particle leaves horizontally from the point of the explosion, the initial velocity is horizontal

         vₓ = v

the final velocity for y = 0

         v_f = vₓ² + v_y²

therefore the angle has a value greater than zero and less than 90º

As they ask for the smallest angle, we can see that we must solve the last case

the output velocity is horizontal vₓ = v

Let's find the velocity when it hits the ground y = 0, with y₀ = h

            v_{y}^2 = v_{oy}^2 - 2 g (y-y₀)

            v_{y}^2 = - 2g (0- y₀)

let's calculate

           v_{y}^2 = 2 9.8 h

         

we use trigonometry to find the angle

        tan θ = \frac{v_y}{v_x}

        θ = tan⁻¹ (\frac{v_y}{v_x})

let's calculate

         θ = tan⁻¹ (\frac{19.6 \ h}{v})

3 0
3 years ago
Question 11 of 11 | Page 11 of 11
KiRa [710]

Answer:

Decreases the time period of revolution

Explanation:

The time period of Cygnus X-1 orbiting a massive star is 5.6 days.

The orbital velocity of a planet is given by the formula,

                                        v = √[GM/(R + h)]

In the case of rotational motion, v = (R +h)ω

                                         ω = √[GM/(R + h)] /(R +h)

Where 'ω' is the angular velocity of the planet

The time period of rotational motion is,

                                     T = 2π/ω

By substitution,

                                      <em>T = 2π(R +h)√[(R + h)/GM] </em>

Hence, from the above equation, if the mass of the star is greater, the gravitational force between them is greater. This would reduce the time period of revolution of the planet.

3 0
3 years ago
Aliya deposited half as much money in a savings account earning 1.9% simple interest as she invested in a money market account t
yanalaym [24]

Let <em>A</em> be the amount of money that Aliya deposited in the savings account. Since <em>A</em> is half as much as money as she invested in a money market account, then the amount that she invested in the market account is <em>2A.</em>

<em />

Express the interest that Aliya earned in terms of A. Set it equal to the amount of $297.60 and then solve for <em>A</em>.

Since the savings account gives 1.9% simple interest, the total amount of interest that she will earn from the savings account is 1.9% of A, which is equal to:

\frac{1.9}{100}\times A

Since the money market account gives 3.7% simple interest, the total amount of interest that she will earn from the money market account, is 3.7% of <em>2A</em>, which is equal to:

\frac{3.7}{100}\times2A

Add both interests in terms of A and simplify the expression:

\begin{gathered} \frac{1.9}{100}\times A+\frac{3.7}{100}\times2A \\ =\frac{1.9}{100}\times A+\frac{7.4}{100}\times A \\ =(\frac{1.9}{100}+\frac{7.4}{100})\times A \\ =\frac{1.9+7.4}{100}\times A \\ =\frac{9.3}{100}\times A \end{gathered}

The expression (9.3/100)*A represents the total interest after one year. Then:

\begin{gathered} \frac{9.3}{100}\times A=297.60 \\ \Rightarrow A=\frac{100}{9.3}\times297.60 \\ \Rightarrow A=\frac{100\times297.60}{9.3} \\ \Rightarrow A=\frac{29760}{9.3} \\ \Rightarrow A=3200 \end{gathered}

Use the value of <em>A</em> to find the amount that was invested in the money market account:

2A=2\times3200=6400

Therefore, Aliya deposited 3200 in a savings account and 6400 in a money market account.

3 0
1 year ago
By what means can the internal energy of a closed system increase?.
kirill115 [55]

Answer:

when work is done on the system or heat comes into the system

7 0
2 years ago
Read 2 more answers
The legal tradition that kept women from owning property and holding public office came to the United States from
scoundrel [369]
<span>The legal tradition that kept women from owning property and holding public office came to the United States from: C. Britain.</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Two stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that has its center at the midpoin
    14·1 answer
  • What is a Cartesian diver? What does it do?
    13·1 answer
  • The attractive electrostatic force between the point charges +8.46 ✕ 10-6 and q has a magnitude of 0.967 n when the separation b
    5·1 answer
  • Select the correct answer.
    8·1 answer
  • Periodic trends vary as we move across the periodic table. In general, as you move across a row (from left to right) in the peri
    12·2 answers
  • Which state is the smartest state?
    6·2 answers
  • A horizontal pole is attached to the side of a building. There is a pivot P at the wall and a chain is connected from the end of
    5·1 answer
  • Which statement about friction in a system is true?(1 point)
    7·1 answer
  • At what height from the surface of earth will the value of 'g' reduced to 64% from the value at the surface? Radius of earth = 6
    14·1 answer
  • Assume an individual has no sodium in their intestinal tract. if this were the case the asorption of _____ would be most affecte
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!