Answer :
To find the normal force on the object, resolve the force vector into its components parallel and perpendicular to the plane. The parallel component is 55.57 N, while the perpendicular component is 52.07 N.
To find the normal force of the plane acting on the object, we first need to resolve the force of magnitude 143 N into its components parallel and perpendicular to the plane. The component parallel to the plane is given by 143 N * sin(22.3°) = 55.57 N. Since the object is not accelerating vertically, the normal force must balance out the component of the object's weight perpendicular to the plane. This component is given by m * g * cos(22.3°), where m is the mass of the object and g is acceleration due to gravity. Plugging in the values, we get 5.87 kg * 9.8 m/s^2 * cos(22.3°) = 52.07 N.
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