Answer:
Explanation:
a ) Kinetic energy of ball = 1/2 m vĀ² , m is mass of the ball and v is its velocity
= 1/2 x .058 x 80Ā²
= 185.6 J .
b ) The velocity of ball is very high so we shall find out the relativistic kinetic energy , the formula is given below
kinetic energy = mcĀ² ( Ā Ā [tex]\frac{1}{\sqrt{1-\frac{v^2}{c^2} } } -1[/tex] Ā )
= mcĀ² x [tex]\frac{1}{\sqrt{1-\frac{v^2}{c^2} } }[/tex] Ā - mcĀ²
= .058 x 9 x 10Ā¹ā¶ x [tex]\frac{1}{\sqrt{1-\frac{1.8^2}{3^2} } }[/tex] Ā - .058 x 9 x 10Ā¹ā¶
= .058 x 9 x 10Ā¹ā¶ x 1 / .8 - .058 x 9 x 10Ā¹ā¶
.058 x 9 x 10Ā¹ā¶ ( 1.25 - 1 )
= .058 x 9 x 10Ā¹ā¶ x .25
= .1305 x 10Ā¹ā¶
= 13.05 x 10Ā¹ā“ J .
