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Scorpion4ik [409]
3 years ago
10

A spherical snowball melts at a rate proportional to its surface area. (a) write a differential equation for its volume, v. (use

k for the constant of proportionality.) dv dt = correct: your answer is correct. (b) if the initial volume is s, solve the differential equation.
Physics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

Explanation:

The rate of change in volume is proportional to the surface area:

dV/dt = kA

Integrating:

V = kAt + C

At t=0, V = s, so:

s = kA(0) + C

C = s

Therefore:

V = kAt + s

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Ann [662]

Answer:

valenc e shell

Explanation:

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The major problem with hydrogen as an alternative source of energy is that none exists on the surface of the earth. True or fals
Brut [27]
That statement is as false as false can be.

Roughly 78% of the Earth's surface is covered by water,
and Hydrogen is a major component of water. 

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8 0
3 years ago
the coefficient of kinetic friction between a couch and the floor is 0.65. if the couch has a mass of 42 kg and you push it with
Anna [14]

Explanation:

The net force along the horizontal direction is

\sum{F_x} = F_{applied} - f

where f is the frictional force. We can find the frictional force by looking at the vertical forces acting on the couch:

\sum{F_y} = N - mg = 0 \Rightarrow N = mg

From the definition of frictional force,

f = \mu{N} = \mu{mg} = (0.65)(42\:\text{kg})(9.8\:\text{m/s}^2)

\:\:\:\:= 267.5\:\text{N}

Therefore, the net force on the couch is

\sum{F_x} = 600\:\text{N} - 267.5\:\text{kN} = 332.5\:\text{N}

4 0
3 years ago
An apple has a mass of 0.136kg and a watermelon has a mass of 9.07kg. Work out the mass of the apple as a percentage of the mass
Galina-37 [17]
7 the answer is 7 JK

3 0
3 years ago
A particle with charge 7.76×10^(−8)C is moving in a region where there is a uniform 0.700 T magnetic field in the +x-direction.
kodGreya [7K]

Answer:

The  z-component of the force is  \= F_z  =  0.00141 \ N    

Explanation:

From the question we are told that

          The charge on the particle is q =  7.76 *0^{-8} \  C    

           The magnitude of the magnetic field is  B =  0.700\r i \ T

            The  velocity of the particle toward the x-direction is  v_x  =  -1.68*10^{4}\r  i  \ m/s

           The  velocity of the particle toward the y-direction is

v_y  =  -2.61*10^{4}\ \r j  \ m/s

           The  velocity of the particle toward the z-direction is

v_y  =  -5.85*10^{4}\ \r k  \ m/s

Generally the force on this particle is mathematically represented as

          \= F  =  q (\= v   X  \= B )

So  we have    

          \= F  =  q ( v_x \r  i + v_y \r  j  +  v_z \r k  )  \ \ X \ (  \= B i)

         \= F  = q (v_y B(-\r  k) + v_z B\r j)      

  substituting values

       \= F  = (7.7 *10^{-8})([ (-2.61*10^{4}) (0.700)](-\r  z) + [(5.58*10^{4}) (0.700)]\r y)    

      \= F=  0.00303\ \r j +0.00141\ \r k                  

So the z-component of the force is  \= F_z  =  0.00141 \ N    

Note :  The  cross-multiplication template of unit vectors is  shown on the first uploaded image  ( From Wikibooks ).

7 0
3 years ago
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