Question

4) What is the mass of an object moving at a speed of
4.0 m/s with a kinetic energy of 740 J?

Answer 1

The mass of an object moving at a speed of 4 m/s and kinetic energy of 740 J is 92.5 kg.

Step-by-step explanation:

As kinetic energy of any moving object is determined as the product of mass and square of velocity of that object, we can determine the mass, if the other two values are known to us. Thus here the value of kinetic energy and velocity is given as 740 J and 4 m/s respectively. So,

`K . E=(1)/(2) * m * v^(2)`

From the above equation, the mass can be expressed as,

`m=(2 * K \cdot E)/(v^(2))`

By substituting the given values K.E. = 740 J and v = 4 m/s , then we get

`m=(2 * 740)/(4^(2))=(1480)/(16)=92.5 \mathrm{kg}`

So the mass of the object is 92.5 kg.