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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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A particle, whose acceleration is constant, is moving in the negative x direction at a speed of 4.91 m/s, and 12.9 s later the p
Zinaida [17]

Answer:

The particle’s velocity is -16.9 m/s.

Explanation:

Given that,

Initial velocity of particle in negative x direction= 4.91 m/s

Time = 12.9 s

Final velocity of particle in positive x direction= 7.12 m/s

Before 12.4 sec,

Velocity of particle in negative x direction= 5.32 m/s

We need to calculate the acceleration

Using equation of motion

v = u+at

a=\dfrac{v-u}{t}

Where, v = final velocity

u = initial velocity

t = time

Put the value into the equation

a=\dfrac{7.12-(-4.91)}{12.9}

a=0.933\ m/s^2

We need to calculate the initial speed of the particle

Using equation of motion again

v=u+at

u=v-at

Put the value into the formula

u=-5.321-0.933\times12.4

u=-16.9\ m/s

Hence, The particle’s velocity is -16.9 m/s.

4 0
3 years ago
A parallel plate capacitor has circular plates with diameter D=21.5 cm separated by a distance d=1.75 mm. When a potential diffe
OLga [1]

Answer:E=2.078\times 10^{-10} J/cm^3

Explanation:

Given

Diameter(D)=21.5 cm

distance between plate=1.75 mm

and we know capacitance is

C=\frac{\epsilon _0A}{d}

and we know charge is

Q=CV

and charge density (\sigma [tex])[tex]=\frac{Q}{A}=\frac{\epsilon _0AV}{Ad}=\frac{\epsilon V}{d}

Electric field(E)=\frac{\sigma }{\epsilon _0}

Energy density=\frac{1}{2}\epsilon _0E^2

Energy desity=\frac{4\pi \epsilon _0}{8\pi }\frac{V^2}{d^2}

Energy desity=\frac{1}{8\pi \cdot 9\times 10^9}\times \left [ \frac{12\times 10^3}{1.75}\right ]^2

E=2.078\times 10^{-10} J/cm^3

3 0
3 years ago
In cloud formation, water vapor turns into water droplets which get bigger and bigger until it rains.
True [87]

Answer:

a. get warmer.

Explanation:

When the water vaporous reach the upper layer of the atmosphere they get a cooler air to which they loose their temperature and condense to form clouds as a the temperature of the air increases.

It may be noted that the water looses its high amount of latent heat of vaporization to condense into water this significantly increases the temperature of the air in contact.

4 0
3 years ago
A mass on a spring oscillates with a period T. Part A If both the mass and the force constant of the spring are doubled, the new
garik1379 [7]

Answer:

The new time period will be T.

Explanation:

The time period in terms of spring constant and mass is given by :

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

If mass and force constant is doubled, m' = 2m and k' = 2k

New time period is given by :

T'=2\pi\sqrt{\dfrac{m'}{k'}}

T'=2\pi\sqrt{\dfrac{2m}{2k}}

T'=2\pi\sqrt{\dfrac{m}{k}}

T'=T

So, the new period will remains the same. Hence, the correct option is (C).

4 0
3 years ago
How many turns should a 10-cm long solenoid have if it is to generate a 1.5 x 10-3 t magnetic field on 1.0 a of current?
stepan [7]

We can answer this problem using Ampere’s Law:

<span>Bh = μoNI </span>

Where:

B = Magnetic Field

h = coil length

<span>μo = permeability =4π*10^-7 T·m/A </span>

N = number of turns

I = current

It is given that B=0.0015T, I=1.0A, h=10 cm = 0.1m<span>

Use Ampere's law to find # turns: 
Which can be rewritten as: 
<span>N = Bh/μoI </span>
N = (0.0015)(0.1)/(4π*10^-7)(1.0) 
N = 119.4 

</span>

<span>Answer: 119.4 turns</span>

3 0
4 years ago
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