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kkurt [141]
4 years ago
7

A child tugs on a rope attached to a 0.62-kg toy with a horizontal force

Physics
1 answer:
Katarina [22]4 years ago
6 0

Answer:

a=0.8\ m/s^2

Explanation:

Given that,

Mass of a toy, m = 0.62 kg

Horizontal force, F = 16.3 N

Force on the opposite direction, F' = 15.8 N

We need to find the acceleration of the toy.

Here, two forces are acting in opposite direction, the net force will be the difference of forces.

Net force = 16.3 N-15.8 N

=0.5 N

The formula for net force is given by :

F = ma

a is the acceleration of the toy

a=\dfrac{F}{m}\\\\a=\dfrac{0.5\ N}{0.62\ kg}\\\\a=0.8\ m/s^2

So, the acceleration of the toy is 0.8\ m/s^2.

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What information can you determine from the coefficients of this balanced chemical equation?
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3 years ago
A 65 kg trampoline artist jumps vertically upward from the top of a platform with a speed of 5 m/s. how fast is he going as he l
KIM [24]

m = mass of trampoline artist = 65 kg

v₀ = initial speed of the artist at the top of platform = 5 \frac{m }{s}

h = height through which the artist drop before landing on trampoline = 3 m

v = final speed of the artist just before landing on trampoline = ?

using conservation of energy

Kinetic energy of artist just before landing = initial kinetic energy at the top of platform + potential energy at the top of platform

(0.5) m v² = (0.5) m v₀² + mgh

dividing each term by "m"

(0.5)  v² = (0.5) v₀² + gh

inserting the values

(0.5)  v² = (0.5) (5)² + (9.8)(3)

v = 9.2 \frac{m }{s}

x = compression of the trampoline = ?

k = spring stiffness constant = 62000 \frac{N }{m}

Assuming the lowest depression point as reference line for measuring the potential energy

using conservation of energy

kinetic energy of artist + potential energy of artist before landing = spring potential energy of trampoline

(0.5) m v² + mg x = (0.5) k x²

inserting the values

(0.5) (65) (9.2)² + (65 x 9.8) x = (0.5) (62000) x²

x = 0.31 m

6 0
3 years ago
Pls help! What would be considered an antonym for law of superposition??
OverLord2011 [107]

Answer:

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Explanation:

This is an incomplete question.

8 0
3 years ago
Rank the wavelengths of the following quantum particles from the largest to the smallest. If any have equal wavelengths, display
goldfiish [28.3K]

The wavelengths of the following quantum particles from the largest to the smallest is (d) > (a) = (e) > (b) > (c)

  • De Broglie proposed that because light has both wave and particle properties, matter exhibits both wave and particle properties. This property has been explained as the dual behavior of matter.
  • From his observations, de Broglie derived the relationship between the wavelength and momentum of matter. This relationship is known as de Broglie's relationship.

De Broglie's relationship is given by  \lambda=\frac{h}{mv} .

This can be written as \lambda=\frac{h}{p}  .....(1) where λ  is known as de Broglie wavelength and p is momentum , h = Plank’s constant .

As we know that mass of proton is greater than electron and photon .

(a)For photon , the momentum is given by p=\frac{E}{c}     ...(2)  where c is the speed is the speed of light .

Putting E = 3eV in equation (2) , we get

              p=\frac{3\times 1.6\times10^-^1^9}{3\times 10^8} \\p=1.6\times10^-^2^7Js/m

Putting this value of p in equation (1) , we get

  \lambda=\frac{6.62\times10^{-34}}{1.6\times10^{-27}}\\\lambda=4.13\times10^{-7}

(b) As we know that  kinetic energy is given by

         K.E=\frac{1}{2} mv^2\\\\2K.E = mv^2\\2K.E\times m = m^2v^2\\2K.E\times m = (mv)^2\\2K.E\times m = p^2\\\\\sqrt{2K.E\times m }=p      ...(3)

Where mass of electron is 9.1\times10^-^3^1 kg .

Putting K.E = 3eV in equation (3) , we get

    \sqrt{2K.E\times m }=p\\p=\sqrt{2\times3\times1.6\times10^{-19} \times 9.31\times10^{-31} }\\p=\sqrt{89.376\times10^{-50}} \\p=9.45\times10^{-25}Js/m

Putting this value of p in equation (1) , we get

\lambda=\frac{6.62\times10^{-34}}{9.45\times10^{-25}}\\\lambda=0.7005\times10^{-9}

(c) Putting m=1.67\times10^{-27}kg and K.E = 3eV in equation (3) , we get

     \sqrt{2K.E\times m }=p\\p=\sqrt{2\times3\times1.6\times10^{-19} \times 1.67\times10^{-27} }\\p=\sqrt{16.032\times10^{-46}} \\p=4.003\times10^{-23}Js/m

Putting this value of p in equation (1) , we get

\lambda=\frac{6.62\times10^{-34}}{4.003\times10^{-23}}\\\lambda=1.65\times10^{-11}

(d) Putting E = 0.3eV in equation (2) , we get

   p=\frac{0.3\times 1.6\times10^-^1^9}{3\times 10^8} \\p=1.6\times10^-^2^8Js/m

Putting this value of p in equation (1) , we get

\lambda=\frac{6.62\times10^{-34}}{1.6\times10^{-28}}\\\lambda=4.13\times10^{-6}

(e) Putting p=3eV/c in equation (1) , we get

    \lambda=\frac{6.62\times10^{-34}\\\times3\times10^8}{3\times1.6\times10^{-19}}\\\lambda=4.13\times10^{-7}

On comparing the wavelength order should be (d) > (a) = (e) > (b) > (c) .

Learn more about de brogile here :

brainly.com/question/28165547

#SPJ4

6 0
2 years ago
What is the spring coefficient of a spring that stores 4000 joules of energy
Verizon [17]

Answer:

222.2N/m

Explanation:

Given parameters:

Elastic potential energy = 4000J

Extension  = 6m

Unknown:

Spring coefficient  = ?

Solution:

The elastic potential energy is the energy stored within a string.

It is expressed as;

           EPE = \frac{1}{2} k e²  

k is the spring constant

e is the extension

         4000  =  \frac{1}{2} x k x 6²  

        8000  =  36k

          k  = 222.2N/m

6 0
3 years ago
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