Respuesta :
Answer:
Increase in total energy will be equal to the increase in the internal energy i.e [tex]1130.246[/tex] Joules
Explanation:
Given
Weight of sledge hammer [tex]= 2.30[/tex] kilogram
Speed of sledge hammer [tex]= 62.7[/tex] meter per second
Kinetic energy is equal to half the product of mass and velocity square
[tex]K E = \frac{1}{2} mv^2[/tex]
Substituting the value of mass and velocity, we get -
[tex]KE = 0.5 * 2.30 * 62.7^2\\KE = 4520.9835[/tex]
It is given that one fourth of the energy is converted into internal energy
One fourth of kinetic energy is equal to
[tex]\frac{1}{4} * 4520.9835\\= 1130.246[/tex]
Increase in total energy will be equal to the increase in the internal energy i.e [tex]1130.246[/tex] Joules
Answer:
The total internal increases energy is 1506.9 J.
Explanation:
Given that,
Mass of spike = 0.554 kg
Mass of sledgehammer.= 2.30 kg
Speed = 62.7 m/s
One-third of the kinetic energy of the hammer is converted into the internal energy.
We need to calculate the total internal energy increase
Using given relation of kinetic energy and internal energy
[tex]E=\dfrac{K.E}{3}[/tex]
Where, E = internal energy
K.E = kinetic energy
Put the value into the formula
[tex]E=\dfrac{1}{2\times3}\times2.30\times(62.7)^2[/tex]
[tex]E=1506.9\ J[/tex]
Hence, The total internal increases energy is 1506.9 J.
