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Brilliant_brown [7]
2 years ago
14

The kinetic energy of the ball and the potential energy of the ball/Earth system were measured and organized in the spreadsheet

below. Use your understanding of the visual model and conservation of energy to calculate the thermal energy of time=0sec,time=0.8sec,time=2.0sec,and time=2.8sec.

Physics
1 answer:
marin [14]2 years ago
8 0

Based on the data provided, the thermal energies at the given time intervals are as follows:

  • At time t = 0.0 secs; thermal energy = 0.0 J
  • At time, t = 0.8 secs; thermal energy = 0.0 J
  • At time, t = 2.0 secs; thermal energy = 3.9 J
  • At time, t = 2.8 secs; thermal energy = 6.7 J

<h3>What is the law of conservation of energy?</h3>

The law of conservation of energy states that the total energy in an isolated system is conserved.

For a ball undergoing energy conversion between kinetic and potential energy, the sum of the energy remains constant.

Any reduction in total energy is due to conversion of some energy to thermal energy.

  • Sum of energy: Kinetic + potential + thermal = 15.2 J
  • Thermal energy = 15.2 - (PE + KE)

At time t = 0.0 secs

Thermal energy = 15.2 - (15.2 + 0.0)

Thermal energy = 0.0 J

At time, t = 0.8 secs

Thermal energy = 15.2 - (4.7 + 10.5)

Thermal energy = 0.0 J

At time, t = 2.0 secs

Thermal energy = 15.2 - (7.4 + 3.9)

Thermal energy = 3.9 J

At time, t = 2.8 secs

Thermal energy = 15.2 - (8.5 + 0.0)

Thermal energy = 6.7 J

Therefore, the thermal energies at the given time intervals are as follows:

  • At time t = 0.0 secs; thermal energy = 0.0 J
  • At time, t = 0.8 secs; thermal energy = 0.0 J
  • At time, t = 2.0 secs; thermal energy = 3.9 J
  • At time, t = 2.8 secs; thermal energy = 6.7 J

Learn more about conservation of energy at: brainly.com/question/166559

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3 years ago
Particle A of charge 2.76 10-4 C is at the origin, particle B of charge -6.54 10-4 C is at (4.00 m, 0), and particle C of charge
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Answer:

a) F_net = 30.47 N ,   θ = 10.6º

b)  Fₓ = 29.95 N

Explanation:

For this exercise we use coulomb's law

          F₁₂ = k k \frac{ q_{1}  \  q_{2} }{ r^{2} }

the direction of the force is on the line between the two charges and the sense is repulsive if the charges are equal and attractive if the charges are different.

As we have several charges, the easiest way to solve the problem is to add the components of the force in each axis, see attached for a diagram of the forces

X axis

        Fₓ = F_{bc x}

Y axis  

       F_{y}Fy = F_{ab} - F_{bc y}

let's find the magnitude of each force

     F_{ab} = 9 10⁹ 2.76 10⁻⁴ 1.02 10⁻⁴ / 3²

      F_{ab} = 2.82 10¹ N

      F_{ab} = 28.2 N

   

      F_{bc} = 9 10⁹ 6.54 10⁻⁴ 1.02 10⁻⁴ / 4²

      F_{bc} = 3.75 10¹  N

       F_{bc} = 37.5 N

let's use trigonometry to decompose this force

      tan θ = y / x

      θ = tan⁻¹ and x

       θ= tan⁻¹ ¾

      θ = 37º

let's break down the force

      sin 37 = F_{bcy} / F_{bc}

      F_{bcy} = F_{bc} sin 37

      F_{bcy} = 37.5 sin 37

      F_{bcy} = 22.57 N

      cos 37 = F_{bcx} /F_{bc}

      F_{bcx} = F_{bc} cos 37

      F_{bcx} = 37.5 cos 37

      F_{bcx} = 29.95 N

let's do the sum to find the net force

X axis

        Fₓ = 29.95 N

Axis y

        Fy = 28.2 -22.57

        Fy = 5.63 N

we can give the result in two ways

a)  F_net = Fₓ i ^ + F_{y} j ^

    F_net = 29.95 i ^ + 5.63 j ^

b) in the form of module and angle

let's use the Pythagorean theorem

    F_net = \sqrt{ F_{x}^2 + F_{y}^2 }

    F_net = √(29.95² + 5.63²)

     F_net = 30.47 N

we use trigonometry for the direction

      tan θ= \frac{ F_{y}  }{  F_{x} }

       

      θ = tan⁻¹ \frac{ F_{y}  }{  F_{x} }

      θ = tan⁻¹ (5.63 / 29.95)

      θ = 10.6º

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