Final answer:
The net force on the cart is 0.0981 N when rounded to the nearest thousandth, calculated using the mass of the hanging weight and the acceleration due to gravity.
Step-by-step explanation:
To calculate the net force on a cart in the absence of friction, we can use the force exerted by the hanging weight as the net force acting on the system. This force can be found by using the formula F = ma, where 'm' is the mass and 'a' is the acceleration due to gravity (approximately 9.81 m/s²). Since only the hanging weight contributes to the acceleration in the vertical direction, and assuming no frictional forces, the net force on the cart will be due to the weight of the hanging mass.
Thus, the net force on the cart (Fnet) is the gravitational force acting on the hanging weight, which is calculated by:
Fnet = m * a = 0.01 kg * 9.81 m/s² = 0.0981 N
When rounded to the nearest thousandth, the net force on the cart is 0.098 N.