Final answer:
To find the acceleration of the cart along the incline, we can use the equation acceleration = (net force) / (mass). The net force in this case is given by (mass1 - mass2) * g * sin(theta), where g is the acceleration due to gravity and theta is the angle of the incline.
Step-by-step explanation:
In order to find the acceleration of the cart along the incline, we need to consider the forces acting on the cart. Since friction is neglected, the only force acting on the cart is the component of the gravitational force parallel to the incline. The acceleration can be calculated using the equation:
acceleration = (net force) / (mass)
In this case, the net force is given by:
net force = (mass1 - mass2) * g * sin(theta)
where g is the acceleration due to gravity and theta is the angle of the incline.