Question

If a ball has kinetic energy of 1000 joules and a speed of 5m/s, what is its mass?

Answer 1

Answer:

m = 80[kg]

Explanation:

The kinetic energy can be calculated by means of the following equation.

$E_{k}=\frac{1}{2}*m*v^{2}$

where:

m = mass [kg]

v = velocity = 5 [m/s]

Ek = kinetic energy = 1000 [J]

Now replacing:

$1000 = \frac{1}{2} *m*5^{2}\\2000 = 25*m\\m=80[kg]$

Answer 2

The mass of a ball will be "80 kg".

Kinetic energy:

According to the question,

Kinetic energy, $E_k$ = 1000 Joules

Velocity, V = 5 m/s

As we know the formula,

→ Kinetic energy = $\frac{1}{2}$ × mass × (velocity)²

→      $E_k = \frac{1}{2}$ × m × v²

By substituting the values,

     $1000= \frac{1}{2}\times m\times (5)^2$

$1000\times 2=25\times m$      

     $2000=25\times m$

         $m = \frac{2000}{25}$

             $= 80$ kg

Thus the above answer is correct.

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