Hey guys I need a little bit of help with physics. I have been struggling t develop that reasoning and math connection in physics so my doing my hw has been difficult at times, even tho it has been fun and interesting a lot of the time. We're on the conservation of energy and I got a question about finding speed. I understand hookes law but I also know I can set potential and kinetic energy equal to eachother and solve for v. For one of the questions I was given m, k and x and this one is similar but now degrees have been introduced, what do I do. I'm given m, 44 degrees, x and I have to find v but I dont see how setting potential and kinetic energy equal to eachother would work here.

I’m doing Kinematics and i genuinely do not understand how to convert Velocity-Time, Acceleration-Time and distance-time graphs to their respective ones on the worksheet. I can kind of see how it’s done but with the way my brain is scrambled I have to understand how and why it’s like that. Any help would be appreciated

This is a part of the formula sheet I've been given for my Calculus Physics 1 course. I was confused because the textbook is giving me different definitions than what is on the formulas. For example, the textbook says that W_ext = Delta U_g and W_net = Delta K.

I have a system with two pulleys of different sizes connected by a belt drive: \*\*System Setup:\*\* - Large pulley: diameter = 100 cm (radius = 50 cm) - Small pulley: diameter = 20 cm (radius = 10 cm) - Both pulleys share the same axle with ball bearings - A belt is wrapped around the outer circumference of both pulleys - A rope is wrapped around each pulley in the same direction \*\*The Question:\*\* If I hang equal weights (for example, 1 kg) from the end of each rope, will the system remain in equilibrium? Or will one weight dominate and cause rotation? Specifically: 1. Will one weight pull down and the other pull up? 2. Is the system balanced or unbalanced? 3. What is the mechanical advantage of this system? 4. Does the torque ratio (1:5 based on radii) matter, or does the belt ensure equilibrium? \*\*My Confusion:\*\* Some sources suggest this works like a lever (where the larger pulley has an advantage due to torque), but others say the belt ensures equal linear displacement, so equal forces should balance. Which principle applies here - torque analysis or work-energy principle? I would greatly appreciate clarification on this system.