Question

A box that has a mass of 80 kg slides down a ramp with a 30 degree angle. The free-body diagram shows the forces acting on the box. Ignoring friction and air resistance, what is the acceleration of the box, to the nearest tenth? Answer choices are 0.5 m/s2 4.9 m/s2 8.5 m/s2 9.8 m/s2

Answer 1

the first one I believe

Answer 2

a= 4.9
`(m)/(s^(2) )`

Step-by-step explanation:

Force equation

`F= m*a`

`F= W*g*sen (30)\\F= 80 kg * 9.8 (m)/(s^(2) ) * sen (30)\\F= 80 kg * 9.8 (m)/(s^(2) ) * 0.5\\F= 392  *(kg*m)/(s^(2) ) = 392` N

`a= (F)/(m) = (392 N)/(80 kg) = (392 (kg*m)/(s^(2) ) )/(80 kg)\\ a= 4.9 (m)/(s^(2) )`