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OLEGan [10]
3 years ago
6

A light spring obeys Hooke's law. The spring's unstretched length is 33.5 cm. One end of the spring is attached to the top of a

doorframe and a weight with mass 7.00 kg is hung from the other end. The final length of the spring is 42.0 cm. What if
Physics
1 answer:
ZanzabumX [31]3 years ago
4 0

Answer:

807.88N/m

Explanation:

<em>The  question has some missing details in it, nevertheless, based on the given data we want to find the spring constant K</em>

Step one

given data

Unstretched length = 33.5 cm

Final length of the spring = 42.0 cm

Δx= 42-33.5

Δx=8.5cm to m= 0.085m

mass m= 7kg

The force on the spring

F=mg

F= 7*9.81

F=68.67N

Step two:

From Hooke's law, we can make k subject of formula and find the spring constant k, we have

F=kΔx---------1

make k subject of the formula

k=F/Δx

k= 68.67/ 0.085

k=807.88N/m

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Energy cannot be _________ or ___________ just ______________ in form.
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Answer: Energy cannot be <u>created</u> or <u>destroyed</u> just <u>changes</u> in form.

Explanation:

This is the principle of the first Law of Thermodynamics, which relates the work and the transferred energy exchanged in a system through the internal energy, which is neither created nor destroyed, it is only transformed.

In other words: The total energy of a system is always conserved.

7 0
4 years ago
In a region of space where gravitational forces can be neglected, a sphere is accelerated by a uniform light beam of intensity 8
BlackZzzverrR [31]

Answer:

The correct answer is B

Explanation:

To calculate the acceleration we must use Newton's second law

      F = m a

      a = F / m

To calculate the force we use the defined pressure and the radiation pressure for an absorbent surface

       P = I / c        absorbent surface

       P = F / A

       F / A = I / c

       F = I A / c

The area of ​​area of ​​a circle is

      A = π r²

We replace

     F = I π r² / c

Let's calculate

     F = 8.0 10⁻³ π (1.0 10⁻⁶)²/3 10⁸

     F = 8.375 10⁻²³ N

Density is

      ρ = m / V

      m = ρ V

      m = ρ (4/3 π r³)

      m = 4500 (4/3 π (1 10⁻⁶)³)

      m = 1,885 10⁻¹⁴ kg

Let's calculate the acceleration

     a = 8.375 10⁻²³ / 1.885 10⁻¹⁴

     a = 4.44 10⁻⁹ m/s²               absorbent surface

The correct answer is B

4 0
3 years ago
Which of the following is an example of potential energy?
tigry1 [53]
The answer is b because it’s something being stretched and it
7 0
3 years ago
Read 2 more answers
: The maximum theoretical efficiency of a Carnot engine operating between reservoirs at the steam point and at room temperature
Hunter-Best [27]

Answer:

The value is   \eta  =  0.2145  or  21.45%

Explanation:

From the question we are told that

    The first reservoir is at steam point  T_s =  100^o C =  100 + 273 = 373 \ K  

    The  second reservoir is at room temperature T_r  =  20^o C = 293 \ K

Generally the  maximum theoretical efficiency of a Carnot engine  is mathematically evaluated as

     \eta  =  1- \frac{T_r}{T_s}

=>    1 - \frac{ 293}{373}

=>    \eta  =  0.2145

5 0
3 years ago
Titania, the largest moon of the planet Uranus, has 1/8 the radius of the earth and 1/1700 the mass of the earth.What is the acc
garri49 [273]

Answer:

(a). The acceleration due to gravity at the surface of Titania is 0.37 m/s².

(b). The average density of Titania is 1656.47 kg/m³

Explanation:

Given that,

Radius of Titania R_{t}= \dfrac{1}{8}R_{e}

Mass of Titania M_{t}= \dfrac{1}{1700}M_{e}

We need to calculate the acceleration due to gravity at the surface of Titania

Using formula of the acceleration due to gravity on earth

g_{e}=\dfrac{GM_{e}}{R_{e}^2}

The acceleration due to gravity on Titania

g_{t}=\dfrac{GM_{t}}{R_{t}^2}

Put the value into the formula

g_{t}=\dfrac{G\times\dfrac{1}{1700}M_{e}}{(\dfrac{1}{8}R_{e})^2}

g_{t}=\dfrac{64}{1700}\times G\dfrac{M_{e}}{R_{e}^2}

g_{t}=0.004705 g_{e}

g_{t}=0.03764\times9.8

g_{t}=0.37\ m/s^2

The acceleration due to gravity at the surface of Titania is 0.37 m/s².

(b). We assume Titania is a sphere

The average density of the earth is 5500 kg/m³.

We need to calculate the average density of Titania

Using formula of density

\rho=\dfrac{m}{V}

\rho_{t}=\dfrac{M_{t}}{\dfrac{4}{3}\pi\times R_{t}^2}

\rho_{t}=\dfrac{\dfrac{M_{e}}{1700}}{\dfrac{4}{3}\pi\times(\dfrac{R_{e}}{8})^2}

\rho_{t}=\dfrac{512}{1700}\times\rho_{e}

\rho_{t}=\dfrac{512}{1700}\times5500

\rho_{t}=1656.47\ kg/m^{3}

The average density of Titania is 1656.47 kg/m³

Hence, (a). The acceleration due to gravity at the surface of Titania is 0.37 m/s².

(b). The average density of Titania is 1656.47 kg/m³

8 0
3 years ago
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