Respuesta :
Answer:
Erest = m×[tex]C^{2}[/tex]
= 0.145kg × 3×[tex]10^{8}[/tex]
= 1.305×[tex]10^{16}[/tex] J
b) finding the kinetic energy
Ek = 0.5×0.145×[tex]12^{2}[/tex]
= 1.044×[tex]10^{1}[/tex]J
c) the kinetic energy is smaller than rest energy
d) number 3 is true
Explanation:
(a) Rest energy is the energy of a particle associated with its mass.
(b) The kinetic energy of the baseball is obtained to be 10.44 J.
(c) The kinetic energy of a body is the energy possessed by the virtue of its motion.
(d) The correct option is: (3) The kinetic energy is much smaller than the rest energy.
Kinetic Energy and Rest Energy
(a) Rest energy is the energy of a particle associated with its mass. It is the product of mass with the square of the speed of light in vacuum.
It is given by the formula;
[tex]E_0 = mc^2[/tex]
Here, the rest energy of the baseball will be;
[tex]E_0 = (0.145\,kg)\times (3\times 10^8 \, m/s)^2 = 1.3\times 10^{16}\,J[/tex]
(b) Kinetic energy is given by the formula;
[tex]KE=\frac{1}{2} mv^2 = \frac{1}{2} \times (0.145\,kg)\times (12\,m/s)^2= 10.44\,J[/tex]
(c) The kinetic energy of a body is the energy possessed by the body by the virtue of its motion. It is the work done on a body to accelerate it from rest to attain a particular velocity.
(d) From the above subparts we have;
[tex]E_0 = 1.3\times 10^{16}\,J[/tex]
[tex]KE= 10.44\,J[/tex]
Therefore, [tex]KE<So, the third option is correct: The kinetic energy is much smaller than the rest energy.
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