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A ball is moving at a speed of 6.70 m/s. If the kinetic energy of the ball is 3.10 J, what is the mass of the ball?

Sagot :

KinglyO

Answer:

mass = 0.14kg

Explanation:

kinetic energy (K.E.) = ( m / 2 ) v^2

where,

m = mass ( kg )

K.E. = kinetic energy ( J )

v = velocity ( m / s )

note that the question does not have a velocity factor in it

but, we are just going to use the speed parameter for velocity since they have the same units ( m / s )

from our question,

m = unknown ( but for solution purposes, we will just call it x)

K.E = 3.10J

v = 6.70 m / s

from our formula,

we substitute our values to have;

3.10 = ( x / 2 ) 6.70^2

3.10 = ( x / 2 ) 44.89

when we open the bracket, 44.98 will multiply with x to give

3.10 = 44.89x / 2

we cross multiply to give us

44.89x = 3.10 ( 2 )

44.89x = 6.20

divide through by 44.89 to give us,

44.89x / 44.89 = 6.20 / 44.89

x = 0.14kg

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