Question

An object has a velocity of 8 m/s and a kinetic energy of 480 J. What is the mass of the object? Formula=1/2mv^2 a(7.5 b(15 kg c(60 kg d(120 kg

nevermind i found the answer its (15 kg) because to solve for m its m= K2/v squared

Answer 1

Hello!

An object has a velocity of 8 m/s and a kinetic energy of 480 J. What is the mass of the object ?

We have the following data:

KE (Kinetic Energy) = 480 J

m (mass) = ? (in Kg)

v (speed) = 8 m/s

Formula to calculate kinetic energy:

`\boxed{KE = (1)/(2)*m*v^2}`

Solving:

`KE = (1)/(2)*m*v^2`

`480 = (1)/(2)*m*8^2`

`480 = (1)/(2)*m*64`

`480*2 = 64*m`

`960 = 64\:m`

`64\:m = 960`

`m = (960)/(64)`

`\boxed{\boxed{m = 15\:Kg}}\end{array}}\qquad\checkmark`

Answer:

b) 15 kg

_______________________________

I Hope this helps, greetings ... Dexteright02! =)

Answer 2

The Kinetic Energy (K.E) of an object can be calculated as:


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

We are given:
K.E = 480 K
Velocity of the object = v = 8 m/s

Using the values, we get:


`480= (1)/(2)m(8)^(2) \\ \\ 480= (1)/(2)*64m \\ \\ 480=32m \\ \\ m=15`

Thus, the mass of the object will be 15 kg.

So the correct answer is option b