GRE Physics Domain 1: Classical Mechanics Welcome to your GRE Physics Domain 1: Classical Mechanics 1. GRE Physics: Classical Mechanics A particle moves in a circle of radius \( r \) with constant speed \( v \). What is the magnitude of the acceleration of the particle? A. \( \frac{v}{r} \) B. \( \frac{v^2}{r} \) C. \( vr \) D. \( \frac{r}{v^2} \) None 2. GRE Physics: Classical Mechanics A block of mass \( m \) is on a frictionless inclined plane of angle \( \theta \). What is the acceleration of the block down the slope? A. \( g\sin\theta \) B. \( g\cos\theta \) C. \( \frac{g}{\sin\theta} \) D. \( \frac{g}{\cos\theta} \) None 3. GRE Physics: Classical Mechanics What is the period of a simple pendulum of length \( L \) and negligible mass bob at a place where acceleration due to gravity is \( g \)? A. \( 2\pi\sqrt{\frac{L}{g}} \) B. \( \pi\sqrt{\frac{L}{g}} \) C. \( 2\pi\sqrt{\frac{g}{L}} \) D. \( \frac{1}{2\pi}\sqrt{\frac{L}{g}} \) None 4. GRE Physics: Classical Mechanics In a system of particles, the total momentum is conserved if: A. There are no external forces B. There is no net external force C. Total kinetic energy is conserved D. The system is in equilibrium None 5. GRE Physics: Classical Mechanics A planet orbits a star in an elliptical orbit. At which point is the planet's kinetic energy maximum? A. At the aphelion B. At the perihelion C. At any point on the orbit D. At the midpoint of the major axis None 6. GRE Physics: Classical Mechanics A rigid body rotates about a fixed axis with a constant angular acceleration. Which of the following is true regarding the tangential acceleration of any point on the body? A. It is zero B. It is constant for all points C. It is directly proportional to the distance from the axis D. It is inversely proportional to the distance from the axis None 7. GRE Physics: Classical Mechanics A ball is thrown vertically upward with velocity \( v \). What is the time taken to reach its highest point? A. \( \frac{v}{g} \) B. \( 2\frac{v}{g} \) C. \( \frac{v^2}{g} \) D. \( \sqrt{\frac{2v}{g}} \) None 8. GRE Physics: Classical Mechanics What is the angular frequency of a mass-spring system with mass \( m \) and spring constant \( k \)? A. \( \sqrt{\frac{k}{m}} \) B. \( \sqrt{\frac{m}{k}} \) C. \( \frac{k}{m} \) D. \( \frac{m}{k} \) None 9. GRE Physics: Classical Mechanics For a satellite in a stable circular orbit around Earth, the orbital speed is dependent on: A. The mass of the satellite B. The radius of the orbit C. The mass of the Earth D. Both the mass of the satellite and the radius of the orbit None 10. GRE Physics: Classical Mechanics The work done in slowly lifting an object to a height \( h \) against gravity is equal to: A. \( mgh \) B. \( \frac{1}{2}mgh \) C. \( mgh^2 \) D. Zero None 1 out of 10 Time is Up! Time's up
