Question

Read through the scenarios below and calculate the predicted change in kinetic energy of the object compared to a 50 kg ball traveling at 10 m/s.

a 50 kg ball traveling at 20 m/s would have _____ kinetic energy.

a 50 kg ball traveling at 5 m/s would have _____ kinetic energy.

a 50 kg ball traveling at 10 m/s would have _____ kinetic energy.

- the same

- 2 times more

- 2 times less

- 4 times more

- 4 times less

Answer 1

The kinetic energy=mv^2/2
1)4 times kore
2)4times less
3)the same

Answer 2

Step-by-step explanation:

It is known that kinetic energy is half of mass times velocity square.

Mathematically, K.E =
`(1)/(2)mv^(2)`

where m = mass

v = velocity

The kinetic energy from which we have to compare shows that mass is 50 kg and v = 10 m/s.

Therefore, K.E =
`(1)/(2)mv^(2)`

=
`(1)/(2)50 * 10^(2)`

= 2500
`m/s^(2)`

1). K. E =
`(1)/(2)mv^(2)`

=
`(1)/(2)50 * 20^(2)`

= 10000
`m/s^(2)`

The object has 4 times more kinetic energy compared to a 50 kg ball traveling at 10 m/s.

2). K. E =
`(1)/(2)mv^(2)`

=
`(1)/(2)50 * 5^(2)`

= 1250
`m/s^(2)`

The object has 2 times less kinetic energy compared to a 50 kg ball traveling at 10 m/s.

3). K. E =
`(1)/(2)mv^(2)`

=
`(1)/(2)50 * 10^(2)`

= 2500
`m/s^(2)`

The object has the same kinetic energy compared to a 50 kg ball traveling at 10 m/s.