Final answer:
The normal force acting on an 11 kg object resting on a frictionless surface, with a 37 N downward force applied, is 70.8 N. This is found by subtracting the applied force from the object's weight (calculated as mass times gravity).
Step-by-step explanation:
When an 11 kg object is at rest on a flat, frictionless surface and a downward force of 37 N is applied to it, the normal force is the force exerted by the surface to support the object. Since there's no horizontal acceleration and assuming no other vertical forces, except its own weight and the applied 37 N force, the normal force can be calculated using Newton's third law of motion.
The object's weight is its mass (11 kg) multiplied by the acceleration due to gravity (9.8 m/s²), which equals 107.8 N. The normal force plus the applied force must balance out the weight (N + 37 N = 107.8 N), thus N = 107.8 N - 37 N which equals 70.8 N. The normal force acting on the object is 70.8 N.