2023 AP Physics 1 Free Response Q # 1 | Easy Explained, Work Shown, High-Score Method

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In this video, I explain AP Physics 1 Free Response Question [2023] Question [1] in a simple, clear, and student-friendly way. This lesson includes step-by-step reasoning, exam-style solving, and easy-to-understand explanations to help you score maximum points on the AP Physics 1 exam.

1. (7 points, suggested time 13 minutes)
A cart on a horizontal surface is attached to a spring. The other end of the spring is attached to a wall. The cart is initially held at rest, as shown in Figure 1. When the cart is released, the system consisting of the cart and spring oscillates between the positions x = + L and x = -L. Figure 2 shows the kinetic energy of the cart-spring system as a function of the system's potential energy. Frictional forces are negligible.
(a) On the graph of kinetic energy K versus potential energy U shown in Figure 2, the values for the x-intercept and y-intercept are the same. Briefly explain why this is true, using physics principles.
When the cart is at +L and momentarily at rest, a block is dropped onto the cart, as shown in Figure 3. The block sticks to the cart, and the block-cart-spring system continues to oscillate between -Land +L. The masses of the cart and the block are mo and 3mo), respectively.
(b) The frequency of oscillation before the block is dropped onto the cart is f1. The frequency of oscillation after the block is dropped onto the cart is f₂. Calculate the numerical value of the ratio f1/f2
(c) The dashed line in Figure 4 shows the kinetic energy K versus potential energy U of the block-cart-spring system after the block is dropped onto the cart. This graph is identical to the graph shown in Figure 2 for the cart-spring system before the block is dropped onto the cart.
i. Briefly explain why the two graphs must be the same, using physics principles.
ii. After the block is dropped onto the cart, consider a system that consists only of the cart and the spring. On Figure 4, sketch a solid line that shows the kinetic energy of the system that consists of the cart and the spring but not the block after the block is dropped onto the cart.




My goal is to help students understand physics concepts without stress.
English is not my native language, so please excuse any pronunciation mistakes or speaking errors , thank you for understanding! 😊

This video is perfect for:
Students preparing for AP Physics 1 FRQs
Quick revision before exams
Learning how to show proper work and reasoning
Understanding scoring guidelines and common mistakes
Practicing physics problem-solving the right way

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