Answer:
69.29 N
Explanation:
First, let's draw the force diagram:
So, taking into account the second law of newton, we can formulate the following equation:
Fn - Wn = 0
Because there is no acceleration in the direction of the normal force. So, replacing Wn with the component of the weight that is perpendicular to the ramp, we get:
[tex]\begin{gathered} F_N=W_n \\ F_N=mg\cos 45 \\ F_N=10\operatorname{kg}\cdot9.8m/s^2\cdot\cos 45 \\ F_N=69.29N \end{gathered}[/tex]
So, the normal force exerted on the box is 69.29 N
