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mixer [17]
3 years ago
8

What is the net force of this object if it is 400 N up and 600 N down?

Physics
1 answer:
Marianna [84]3 years ago
3 0

Hello!

what is the net force of this object if it is 400 N up and 600 N down?

In this case, as the meanings of the vectors are opposite, one of the forces receives the negative signal and thus a piece of the other vector is drawn, as shown in the figure. And to know the module of the resultant force, if it subtracts the modules of the forces.

F_{Net} = F_{grav} - F_{air}

F_{Net} = 600 - 400

\boxed{\boxed{F_{Net} = 200N}}\end{array}}\qquad\checkmark

Answer:

200N

______________________________

I Hope this helps, greetings ... Dexteright02! =)

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A. When light of wavelength 250 nm is incident on a metal surface, the maximum speed of the photoelectrons is 4.0 × 105 m/s, wha
aliina [53]

Answer:

Explanation:

Part A

- Work function ( ∅ ) is the minimum energy required by the photon to knock an electron out of the metal surface. That is the portion of energy of a photon transferred to an electron so that it can escape the metal.

- We can mathematically express it:

               ∅ = Ep - Ek

                    = \frac{h*c}{lamba} - 0.5*m_e*v^2_e\\

     

Where,

            Planck's constant ( h ) = 6.6261*10^-34

            Speed of light ( c ) = 3*10^8 m/s

            mass of an electron ( m_e ) = 9.1094*10^-31 kg

Given:-

           Incident light's wavelength ( λ ) = 250*10^-9 m

           The maximum speed o electron ( v_e ) = 4*10^5 m/s

Solution:-

- Plug the values into the expression derived before:

               ∅ = \frac{(6.6261*10^-^3^4)*(3*10^8)}{250*10^-^9} \\\\

               ∅ = 7.22257*10^-^1^9 J * \frac{6.242*10^1^8 eV}{J}

               ∅ = 4.508 eV  ... Answer

Part B

- 2.5% of the energy emitted by a 100-W light bulb was visible light with wavelength ( λ ) = 500*10^-9 m. In 1.0 min the amount of energy harbored by a stream of photons are:  

              E_p = n_p*\frac{h*c}{lambda} = P*t*e

Where,

            Planck's constant ( h ) = 6.6261*10^-34

            Speed of light ( c ) = 3*10^8 m/s

Given:-

            visible light's wavelength ( λ ) = 500*10^-9 m

            Power of light bulb ( P ) = 100 W

            Time taken ( t ) = 1.0 min = 60 s

            Portion of energy as light ( e ) = 0.025

Solution:-

- Plug the values into the expression derived before:

             n_p = \frac{(lambda)*(P)*(t)*(e)}{h*c} \\\\n_p = \frac{(500*10^-^9)*(100)*(60)*(0.025)}{(6.6261*10^-^3^4)*(3*10^8)} \\

             n_p = 3.773 * 10^20 ... Answer

Part C

- A blood vessel of radius ( r ) with length ( L ) carries blood with viscosity ( μ ). The pressure drop ( ΔP ) in the blood vessel was witnessed.

- Pressure loss ( ΔP ) in a cylindrical blood vessel is given by the Darcy's equation given below:

                    \frac{dP}{p} = f*\frac{L}{D}*\frac{v^2}{2}

Where,

                  ρ: Density of blood

                  f: Friction factor

                  D: Diameter of vessel

                  v: Average velocity

- The friction factor is a function of Reynolds number and relative roughness of blood vessel. We will assume the blood vessel to be smooth, round and the flow to be laminar ( later verified ).

- The flow rate ( Q ) in a smooth blood vessel subjected to laminar flow conditions is given by the Poiseuille's Law. The law states:

                  Q = \frac{\pi*dP*r^4 }{8*u*L}

- The velocity ( v ) in a circular tube is given by the following relation:

                 v = \frac{Q}{\pi*r^2 }

Given:-

           dP ( Pressure loss ) = 2.5 Pa

           radius of vessel ( r ) = 10μm = 10*10^-6 m

           viscosity of blood ( μ ) = 0.0027 Pa.s

           Length of vessel ( L ) = 1μm = 10^-6 m

Solution:-    

- Use the Poiseuille's Law to determine the flow rate ( Q ) of the blood in the vessel:

               Q = \frac{\pi*(2.5)*(10*10^-^6)^4 }{8*(0.0027)*(10^-^6)}

               Q = 3.6361*10^-12 m^3 / s

- The corresponding velocity ( v ) of the blood flow would be:

               v = \frac{3.6361*10^-^1^2}{\pi*(10*10^-^6)^2 }

              v = 0.01157 m/s

- Use the Poiseuille's Law to determine the flow rate ( Q ) of the blood blood in the enlarged vessel ( r = 12 μm = 10*10^-6 m ) :

               Q = \frac{\pi*(2.5)*(12*10^-^6)^4 }{8*(0.0027)*(10^-^6)}

               Q = 7.54*10^-12 m^3 / s

- The corresponding velocity ( v ) of the blood flow would be:

               v = \frac{7.53982*10^-^1^2}{\pi*(12*10^-^6)^2 }

              v = 0.01666 m/s

Part D

- A radioactive isotope of Cobalt ( Co - 60 ) undegoes Beta decay ( 0.31 MeV ) and emits two gamma rays of energy ( 1.17 & 1.33 ) MeV.

- The radioactive decay for the ( Cobalt - 60 ) can be expressed in form of an equation:

              _2_7Co ( 60 ) ---> _2_8 Ni ( 60 ) + e^- + v_e^- + gamma

- The half life ( T_1/2 ) of the Co-60 can be used to determine the decay constant ( λ ):

             λ = lambda = \frac{Ln(2)}{T_1/2}\\

Where,

             T_1/2 = 5.2 yrs = 1.68*10^8 s

Hence, the decay constant is

              λ = \frac{Ln ( 2 ) }{1.68*10^8} = 4.22*10^-9 s^-1

- The activity ( A ) of any radioactive isotope is function of time ( t ) defined by negative exponential distribution:

            A = A_o*e^(^-^l^a^m^b^d^a^*^t^)

Where,

             A_o: The initial activity ( Bq )

- The activity of the radioactive isotope Co-60 was A = 10 Ci after t = 30 months. The initial activity ( A_o ) can be determined:

            A_o= \frac{A}{e^(^-^l^a^m^b^d^a^*^t^)} \\\\A_o= \frac{(10Ci)*(3.7*10^1^0 Bq/Ci)}{e^(^-^4^.^2^2^*^1^0^-^9*^7^.^8^8^*^1^0^7^)} \\

            A_o = 5.016 * 10^11 Bq

- The initial number of nuclei in the sample ( N_o ) is given by:

           N_o = (A_o) / (lambda)\\\\N_o = \frac{5.016*10^1^1}{4.22*10^-^9} = 1.22*10^2^2

- The initial mass of Co-60 used as a sample can be determined:

           m_o = M_r*N_o\\\\m_o = (59.933822u)*(1.66*10^-^2^7)*(1.22*10^2^2)\\

           m_o = 12.2 * 10^-6 kg  ... Answer

 

- The total energy ( E ) released from the beta decay transformation:

          E = E(β) + E(γ1) + E(γ2) = 0.31 + 1.17 + 1.33 = 2.81 MeV

- The rate at which the source emits energy after 30 months:

        P = E*A = ( 2.81 MeV * \frac{1.6*10^-^1^3 J}{MeV} ) * ( 10 Ci * \frac{3.7*10^1^0 Bq}{Ci} )

        P = 0.166 W  .. Answer

 

7 0
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A new ride being built at an amusement park includes a vertical drop of 126.5 meters. Starting from rest, the ride vertically dr
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Answer:

Speed at the bottom of the roller coaster = 49.79 m/s

Explanation:

A new ride being built at an amusement park includes a vertical drop of 126.5 meters. Starting from rest, the ride vertically drops that distance before the track curves forward.

We have to find the speed at the bottom.

Here the gravitational energy fully converts to kinetic energy, so we equate it.

Gravitational energy = m\times g\times h

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m\times g\times h = 0.5 \times m\times v^{2}

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2. During the elastic collision, the momentum is conserved. 
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Explanation:

The given data is as follows.

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Formula for angular frequency is as follows.

          \omega = \sqrt{\frac{{k}{m}}

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