An object has velocity of 8 m/s and kinetic energy of 480j what is the mass of the object

Work Shown:

KE = 480

v = 8

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

480 = 0.5*m*8^2

480 = 0.5*m*64

480 = 0.5*64m

480 = 32m

32m = 480

m = 480/32

m = 15

The SI unit for mass is in kilograms

Also a joule is defined with kilograms since 1 J = 1 kg*m/s^2

1 joule is the amount of energy needed to move an object of mass 1 kg with an acceleration of 1 m/s^2

So this is why the mass m is in kilograms.

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9

well your weight will go up if you are not going to burn the calories/ carbs

step-by-step explanation: