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

Answer:

a= 4.9 $\frac{m}{s^{2} }$

Explanation:

Force equation

$F= m*a$

$F= W*g*sen (30)\\F= 80 kg * 9.8 \frac{m}{s^{2} } * sen (30)\\F= 80 kg * 9.8 \frac{m}{s^{2} } * 0.5\\F= 392 *\frac{kg*m}{s^{2} } = 392$ N

$a= \frac{F}{m} = \frac{392 N}{80 kg} = \frac{392 \frac{kg*m}{s^{2} } }{80 kg}\\ a= 4.9 \frac{m}{s^{2} }$