Question

3) Calculate the kinetic energy of a 7 kg mass traveling at a velocity of 4 m/sec.

Formula
Work with Units
Answer with Units

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

Let's solve ~

Given terms :

• Mass (m) = 7 kg

• velocity (v)= 4 m/s

The formula to find kinetic Energy is ~

`\boxed{ \boxed{ \sf{ (1)/(2) m{v}^(2) }}}`

Now, apply the formula according to given situation

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (1)/(2) * 7 * ( {4)}^(2)`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (1)/(2) * 7 * 16`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:7 * 8`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:56 \: \: joules`

Therefore, the kinetic Energy of the car is 56 joules

Answer 2

56 J

Step-by-step explanation:

Formula to find the kinetic energy is :

`E_k` =
`(1)/(2)` × m × v²

Here ,

m ⇒ mass

v ⇒ velocity

Let us solve now

`E_k` =
`(1)/(2)` × m × v²

=
`(1)/(2)` × 7 kg × ( 4 ms⁻¹ )²

=
`(1)/(2)` × 7 × 16

=
`(1)/(2)` × 112

= 56 J

Hope this helps you :-)

Let me know if you have any other questions :-)