Final answer:
To find the acceleration of the cart, subtract the force of friction from the applied force. Then, use Newton's second law of motion to solve for acceleration. The acceleration of the cart is approximately 1.86 m/s².
Step-by-step explanation:
To find the acceleration of the cart, we need to subtract the force of friction from the applied force. The net force is the force applied minus the force of friction. In this case, the force applied is 80 N and the force of friction is 15 N. So, the net force is 80 N - 15 N = 65 N.
Next, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. The mass of the cart is 35 kg, so we can rearrange the equation to solve for acceleration: acceleration = net force/mass. Plugging in the values, acceleration = 65 N / 35 kg ≈ 1.86 m/s².
Therefore, the acceleration of the cart is approximately 1.86 m/s².