The normal force on the cart is 79.7 N
Explanation:
In order to find the normal force, we have to analyze the forces acting on the cart on the vertical direction.
In the vertical direction, we have the following forces:
- The weight of the cart, downward, of magnitude , where m is the mass of the cart and g is the acceleration of gravity
- The normal force on the cart, upward, we indicate it with N
- The component of the pushing force acting in the vertical direction, downward, of magnitude , where F is the magnitude of the force and is the angle of the force with the horizontal
Therefore, the equation of the forces on the cart in the vertical direction is:
where the net force is zero since the cart is balanced in the vertical direction. We have:
We take the angle as positive since we are already considering the downward direction in the equation.
Substituting and solving for N, we find the normal force:
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