Please find my solutions to past F=ma Contest problems below. Past Exams Problems organized by topic Quarter-final Exams Problems organized by topic
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Solution: B Concepts: Solution: A Concepts:
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Solution: D Concepts: Solution: C Concepts:
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Topic: EnergyConcepts: 1D elastic collision, 1D inelastic collision, Energy dissipation Solution: For the perfectly inelastic collision, we conserve linear momentum to find the velocity of both objects after the collision, Since the combined mass breaks the cord and ends up at rest, all the kinetic energy became spring potential energy (right before it breaks), In…
Topic: DynamicsConcepts: Angular momentum, Circular motion, Work-energy theorem Solution: Note that the velocity is always perpendicular to the tension force by conservation of string, since having a parallel component would mean the total string length is changing (not just the unwound portion). Because perpendicular forces do no work, the object has a constant kinetic energy…
Topic: Rigid BodiesConcepts: Moments of inertia Solution: Recall the moment of inertia of a rod about its center is We are given I=md2I=md^2 which means so the answer is D. Topic: Oscillatory MotionConcepts: Parallel-axis theorem, Physical pendulum Solution: Recall the angular frequency of a physical pendulum is given by where ss is the distance between…
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1D elastic collision 1D inelastic collision 5 kinematics equations Air resistance Angular kinematics Angular momentum Artificial gravity Atwood machine Average vs. instantaneous Ballistic pendulum Bernoulli's principle Block on conveyor belt Buoyant force Center of mass Circular motion Circular orbits CM frame Conservation of angular momentum Conservation of energy Conservation of linear momentum Coriolis force Data expression Dimensional analysis Dynamics Dynamics of CM Effective spring constant Elliptical orbits Energy dissipation Equivalence principle Error propagation Escape velocity Fictitious forces Floating Fma: Collisions Fma: Dynamics Fma: Energy Fma: Fluids Fma: Gravity Fma: Kinematics Fma: Oscillatory Motion Fma: Other Fma: Rigid Bodies Fma: System of Masses Forces in mechanics Free fall Gauss's law for gravity General angular momentum General kinematics equations General kinetic energy General Newton's 2nd law Gravitational force Gravitational potential energy Impulse-momentum theorem Inclined plane Kepler's laws Kinematics Kinetic energy Law of reflection Limiting cases Mass-spring system Mechanics Moments of inertia Motion graphs Newton's laws Parallel-axis theorem Pascal's law Perpendicular-axis theorem Physical pendulum Potential energy graphs Power Pressure with depth Projectile motion Pulleys with rotational inertia Qtrfin: E&M Qtrfin: Mechanics Reduced mass Relative velocity Rigid Bodies Rolling down inclined plane Rolling motion Rotational Newton's 2nd law Scale reading Simple harmonic motion Simple pendulum Small angle approximation Speed vs. velocity Spring potential energy Statics Surface tension Tensile strength Torque Torque from weight Types of equilibrium Vectors Velocity constraints Vertical spring Wave speed in string Work Work-energy theorem Young's modulus
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