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AP Physics 1 Unit 1C: Kinematics: Relative & Circular Motion — practice questions — page 2

Explore 92 free Unit 1C: Kinematics: Relative & Circular Motion questions in AP Physics 1 Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 1C: Kinematics: Relative & Circular Motion questions and exercises with answers

Showing questions 31–60 of 92.

For a satellite in a circular orbit, the centripetal acceleration is provided by:Read the answer and worked solution →For a particle dropped from rest from a height much greater than R toward Earth (ignore air), the speed at impact equals approximately:Read the answer and worked solution →For a satellite of mass m in a circular orbit of radius r around a planet of mass M, the total mechanical energy is:Read the answer and worked solution →Two equal masses (3 kg each) connected by a light string over a frictionless pulley. One on smooth horizontal table, other hangs over edge. Acceleration?Read the answer and worked solution →A pendulum of mass m swings to amplitude angle θ. At the lowest point of swing, the TENSION in the string equals:Read the answer and worked solution →A car of mass 1000 kg moving at 36 km/h is stopped by brakes in 5 seconds. Average force exerted by brakes:Read the answer and worked solution →Escape velocity from a planet of mass M and radius R is v. From a planet of mass 4M and radius 2R, escape velocity:Read the answer and worked solution →At what height above Earth's surface is g reduced to half its surface value?Read the answer and worked solution →A body falls from infinity to Earth's surface. Its velocity at the surface (in terms of escape velocity v_e):Read the answer and worked solution →Two satellites of equal mass orbit Earth at radii r1 and r2 = 2r1. Ratio of their kinetic energies KE1 : KE2:Read the answer and worked solution →Gravitational potential at the centre of a uniform spherical shell of mass M and radius R:Read the answer and worked solution →A geostationary satellite orbits Earth at radius r_g. Another satellite orbits at radius r_g/4. Its period is approximately:Read the answer and worked solution →The acceleration due to gravity on Moon (mass 1/81 Earth, radius 1/4 Earth) is approximately:Read the answer and worked solution →Gravitational PE of a 2 kg mass at altitude 2R above Earth's surface (g at surface = 10, R = 6400 km):Read the answer and worked solution →At what point on the line joining Earth and Moon is the net gravitational field zero? (M_E = 81 M_moon)Read the answer and worked solution →Total mechanical energy of a satellite escaping Earth from low orbit at radius R is:Read the answer and worked solution →A particle moving back and forth over the same path is undergoing:Read the answer and worked solution →In SHM, the time for one complete oscillation is called:Read the answer and worked solution →The general equation for SHM is:Read the answer and worked solution →In SHM, displacement and acceleration are:Read the answer and worked solution →The angular frequency ω of a spring-mass system with mass m and spring constant k is:Read the answer and worked solution →Time period of a simple pendulum of length L (small oscillations):Read the answer and worked solution →A spring-mass system has mass 4 kg and spring constant 100 N/m. Frequency of SHM:Read the answer and worked solution →For SHM x = 5 sin(2πt), find amplitude and time period:Read the answer and worked solution →Maximum velocity of a particle in SHM with amplitude A and angular frequency ω:Read the answer and worked solution →Maximum acceleration of a particle in SHM (amplitude A, angular frequency ω):Read the answer and worked solution →A particle executing SHM has time period T. Time taken to go from extreme position (x = A) to x = A/2:Read the answer and worked solution →A simple pendulum of length 1 m has period T (g = 9.8). New length needed to double T:Read the answer and worked solution →Total energy of SHM particle equals:Read the answer and worked solution →At the extreme position in SHM, kinetic energy equals:Read the answer and worked solution →

Worked practice questions

For a satellite in a circular orbit, the centripetal acceleration is provided by:

  1. magnetic force
  2. friction
  3. gravitational force
  4. nuclear force
Show answer and solution

Correct answer: C. gravitational force

Gravity supplies the centripetal force.

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For a particle dropped from rest from a height much greater than R toward Earth (ignore air), the speed at impact equals approximately:

  1. √(2GM/R)
  2. √(2gR)
  3. √(GM/R)
  4. √(gR)
Show answer and solution

Correct answer: A. √(2GM/R)

Energy conservation: ½v² = GM/R ⇒ v = √(2GM/R), the escape speed.

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For a satellite of mass m in a circular orbit of radius r around a planet of mass M, the total mechanical energy is:

  1. − G M m / (2r)
  2. − G M m / r
  3. + G M m / (2r)
  4. zero
Show answer and solution

Correct answer: A. − G M m / (2r)

E = K + U = (1/2)·GMm/r − GMm/r = − GMm/(2r).

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