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leva [86]
3 years ago
8

Let's take two balls, each of radius 0.1 meters and charge them each to 3 microCoulombs. Then, let's put them on a flat surface

and push them together until they touch. Each ball has a mass of 4 kg. Think carefully about what to use for the distance between the two balls. And to keep things simpler, let's assume they slide without rolling.Now consider the case where both balls are free to move once you release them. Neglecting friction, calculate the final speed of one of the balls.?
Physics
1 answer:
salantis [7]3 years ago
6 0

Explanation:

First, we will calculate the electric potential energy of two charges at a distance R as follows.

                   R = 2r

                      = 2 \times 0.1 m

                      = 0.2 m

where,    R = separation between center's of both Q's. Hence, the potential energy will be calculated as follows.

                U = \frac{k \times Q \times Q}{R}

                    = \frac{8.98 \times 10^{9} \times (3 \times 10^{-6} C)^{2}}{0.1}

                    = 0.081 J

As, both the charges are coming towards each other with the same energy so there will occur equal sharing of electric potential energy between these two charges.

Therefore, when these charges touch each other then they used to posses maximum kinetic energy, that is, \frac{U}{2}.

Hence,   K.E = \frac{U}{2}

                     = \frac{0.081}{2}

                     = 0.0405 J

Now, we will calculate the speed of balls as follows.

                 V = \sqrt{\sqrt{\frac{2 \times K.E}{m}}

                     = \sqrt{\sqrt{\frac{2 \times 0.0405}{4 kg}}

                     = 0.142 m/s

Therefore, we can conclude that final speed of one of the balls is 0.142 m/s.

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An ice cube of mass 50.0g can slide without friction up and down a 25.0 degree slope. The ice cube is pressed against a spring a
sergejj [24]

Answer:

Explanation:

Given

mass of ice cube m=50 gm

inclination \theta =25^{\circ}

Spring constant k=25\ N/m

initial compression x=0.1 m

Suppose Initially the cube is at the datum  and it moves h height after release

So Elastic Potential Energy of Spring will convert to Potential Energy of cube

\frac{1}{2}kx^2=mgh

\frac{1}{2}\times 25\times (0.1)^2=50\times 10^{-3}\times 9.8\times h

h=0.255 m

so final Potential Energy will be =mgh=0.05\times 9.8\times 0.255=0.125 J

Initial Potential Energy=0 J

B.Initially spring is at compression so energy associated with it is its Elastic Potential Energy i.e. 0.125 J

Final Energy=0 J  

7 0
3 years ago
Read 2 more answers
The energy difference in these two conformations has been measured to be about 23 kj per mole. how much of this energy differenc
Phantasy [73]

Answer:

The answer is 7.8 kJ / mol.

Explanation:

Energy = (number of methyl group) (Gauche interactions)(3.8kJ/mol per interaction)

           = (2)(2)(3.8 kJ / mol)

            = 15.2 kJ / mol.

The energy  = (number of methyl group) - ( energy of gauche interactions)

                    = (23 kJ/mol) - 15.2 kJ/mol

                    = 7.8 kJ / mol.

8 0
3 years ago
"The condition of equilibrium is when the sum of the forces acting on a body is the zero vector. Suppose a body has a force of 2
vivado [14]

Answer:

The answer is F= 2.881<em> pounds</em>

Explanation:

We will start this question by representing the force vectors in Cartesian coordinate system:

  • Force 1 acting on the right F_{1} = (2, 0)
  • Force 2 acting upward F_{2} = (0,5)
  • Force 3 acting at 45° F_{3} = (3cos(45),3sin(45))

Let the single force we need be represented by F=(x,y)

Since, the body is in equilibrium the summation of all the forces acting on it should be zero:

∑F_{x} = 0 (Sum of all forces in x direction is equal to zero)

x + 2 - 3cos(45) =0 (x component of force 3 is negative because it is acting  in opposite direction)

x = 0.1213

∑F_{y}=0 (Sum of all forces in y direction is equal to zero)

y+5-3sin(45)=0 (y component of force 3 is negative because it is acting  in opposite direction)

y=-2.8786

So,

F=(0.1213,-2.8786)

Hence, to get the scalar quantity of a single force:

F=\sqrt[2]{(0.1213)^{2}+(-2.8786)^{2}  }

F= 2.881<em> pounds</em>

8 0
3 years ago
1.) A ski jump is angled at 40° and the skier is launched at 25 m/s. A.) What was her highest
prohojiy [21]

A) 13.2 m

The motion of the skier is a projectile motion, which consists of two independent motions:

- a horizontal motion with constant speed

- a vertical motion with constant acceleration g=-9.8 m/s^2 (acceleration of gravity) downward

To find the maximum height of her trajectory, we are only concerned with her vertical motion.

The initial vertical velocity upward is

u_y = u_0 sin \theta = (25) sin 40^{\circ} =16.1 m/s

then we can use the following SUVAT equation:

v_y^2 - u_y^2 = 2ah

where

v_y=0 is the final vertical velocity, which is zero at the maximum height

u_y = 16.1 m/s is the initial vertical velocity

a=g=-9.8 m/s^2

h is the maximum height

Solving for h,

h=\frac{v_y^2-u_y^2}{2g}=\frac{-(16.1)^2}{2(-9.8)}=13.2 m

B) 1.64 s

The time needed to reach the highest point can be found by analyzing again the vertical motion only. In fact, we can use the  following SUVAT equation:

v_y = u_y +at

where

u_y = 16.1 m/s

a=g=-9.8 m/s^2

At the maximum height, the vertical velocity is zero:

v_y=0

So we can solve the equation to find the corresponding time:

t=\frac{v_y-u_y}{a}=\frac{0-16.1}{-9.8}=1.64 s

7 0
4 years ago
A thermosensory neuron in the skin converts heat energy to nerve impulses via a conversion called
Sav [38]

Answer:

Sensory transduction

Explanation:

The term sensory transduction refers to the conversion process where the sensory energy is converted in order to change the potential of a membrane.

In other words, it can defined as the process of energy conversion such that stimulus can be transmitted or received by the sensory receptors and the nervous system may initiate with the sensory receptors.

Transduction takes in all of the five receptors of the body. Thus skin is also one of the receptors and hence conversion of heat energy into impulses takes place with the help of thermo-sensory neuron.

3 0
3 years ago
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