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Projectile motion practice

QCE Physics · Original practice questions with worked solutions

All projectile motion practice questions

53 original questions · Page 2 of 3

  1. Q160 · Original practice · 6 marks
    A 0.200 kg0.200\,\mathrm{kg} puck co-rotates with a horizontal turntable at radius 0.400 m0.400\,\mathrm m. Its period is 1.60 s1.60\,\mathrm s. Static friction can supply at most 1.40 N1.40\,\mathrm N. Use a model in which friction is the only horizontal force.
    Gravity and motion
  2. Q161 · Original practice · 7 marks
    A 0.150 kg0.150\,\mathrm{kg} bob moves in a horizontal circle on a string of length 1.20 m1.20\,\mathrm m. The string maintains an angle of 30.0∘30.0^\circ to the vertical. Ignore air resistance; use g=9.8 m s−2g=9.8\,\mathrm{m\,s^{-2}}.
    Gravity and motion
  3. Q162 · Original practice · 7 marks
    Four small moons have circular orbits about the same planet. The graph shows T2T^2 against r3r^3, where rr is measured from the planet's centre. Treat the fitted line through the origin as exact for this question. Use G=6.67×10−11 N m2 kg−2G=6.67\times10^{-11}\,\mathrm{N\,m^2\,kg^{-2}}.
    Gravity and motion
  4. Q163 · Original practice · 4 marks
    A planet orbits a star on an ellipse. Its closest and farthest centre-to-centre distances are 2.00×1011 m2.00\times10^{11}\,\mathrm m and 3.00×1011 m3.00\times10^{11}\,\mathrm m. Points P and A indicate these positions.
    Gravity and motion
  5. Q164 · Original practice · 5 marks
    Two isolated spherical bodies have masses MM and 4M4M. Their centres are 6.00×107 m6.00\times10^7\,\mathrm m apart. Consider points on the line between them, outside both bodies. Their radii are small enough that the field-cancellation point is outside each body.
    Gravity and motion
  6. Q195 · Original practice · 1 mark
    At the same instant, ball A is dropped from rest and ball B is projected horizontally at 20.0 m s−120.0\,\mathrm{m\,s^{-1}} from the same height above level ground. Ignore air resistance and ball size. How do their times to reach the ground compare?
    Gravity and motion
  7. Q196 · Original practice · 1 mark
    The graph shows the vertical velocity of a projectile, with upward positive. What maximum height does it reach above its launch point?
    Gravity and motion
  8. Q197 · Original practice · 1 mark
    A projectile passes a particular height once while rising and once while falling. Its rising velocity is (12.0i+9.00j) m s−1(12.0\mathbf i+9.00\mathbf j)\,\mathrm{m\,s^{-1}}, with j\mathbf j vertically upward. Ignore drag. What is the change in velocity from the rising passage to the falling passage?
    Gravity and motion
  9. Q198 · Original practice · 1 mark
    A block has a downhill weight component of 10.0 N10.0\,\mathrm N and a constant applied force of 6.00 N6.00\,\mathrm N uphill. While sliding, friction has magnitude 2.00 N2.00\,\mathrm N. Compare an instant when it slides uphill with a later instant when it slides downhill. Which statement about its acceleration is correct?
    Gravity and motion
  10. Q199 · Original practice · 1 mark
    A block of mass mm rests on a 30.0∘30.0^\circ incline. A rope exerts force PP at 20.0∘20.0^\circ above the incline, as shown. The block remains in contact with the plane. Which expression gives the normal force magnitude?
    Gravity and motion
  11. Q200 · Original practice · 1 mark
    The diagram is a top view of an object moving at constant speed around a circle. At P its velocity points left. What is the direction of its instantaneous acceleration?
    Gravity and motion
  12. Q201 · Original practice · 1 mark
    A spherical planet has radius RR. Point A is at altitude RR above its surface, and point B is at altitude 2R2R. What is the ratio of gravitational field strengths gB/gAg_B/g_A?
    Gravity and motion
  13. Q202 · Original practice · 1 mark
    Moon A follows a circular orbit of radius rr around a planet of mass MM. Moon B follows a circular orbit of radius 2r2r around a different planet of mass 4M4M. What is TB/TAT_B/T_A?
    Gravity and motion
  14. Q203 · Original practice · 1 mark
    A planet sweeps an area of 2.00×1020 m22.00\times10^{20}\,\mathrm{m^2} in 10.010.0 days in one part of its elliptical orbit. How long does it take to sweep 3.00×1020 m23.00\times10^{20}\,\mathrm{m^2} elsewhere in the same orbit?
    Gravity and motion
  15. Q204 · Original practice · 1 mark
    Two satellites, of masses mm and 3m3m, follow the same circular orbital radius around a planet of mass MM. Ignore their influence on the planet and each other. How does their orbital speed compare?
    Gravity and motion
  16. Q225 · Original practice · 5 marks
    A small ball is launched horizontally at 6.00 m s−16.00\,\mathrm{m\,s^{-1}} from a platform 19.6 m19.6\,\mathrm m above level ground. A small ground-level catcher moves in the same direction at constant speed 2.00 m s−12.00\,\mathrm{m\,s^{-1}}. At launch it is distance dd ahead of the point directly below the ball. Ignore drag and object sizes. Use g=9.8 m s−2g=9.8\,\mathrm{m\,s^{-2}}.
    Gravity and motion
  17. Q226 · Original practice · 5 marks
    A ball is launched from height 1.00 m1.00\,\mathrm m with horizontal velocity 12.0 m s−112.0\,\mathrm{m\,s^{-1}}. A thin vertical screen is 18.0 m18.0\,\mathrm m horizontally from the launch point. Its opening extends from 4.80 m4.80\,\mathrm m to 5.40 m5.40\,\mathrm m above the same ground level. Ignore drag and ball size. Use g=9.8 m s−2g=9.8\,\mathrm{m\,s^{-2}}.
    Gravity and motion
  18. Q227 · Original practice · 6 marks
    A 4.00 kg4.00\,\mathrm{kg} block moves uphill on a 30.0∘30.0^\circ incline. A rope pulls with force 18.0 N18.0\,\mathrm N at 20.0∘20.0^\circ above the incline. Friction has magnitude 2.00 N2.00\,\mathrm N. The block remains on the plane. Use g=9.8 m s−2g=9.8\,\mathrm{m\,s^{-2}}.
    Gravity and motion
  19. Q228 · Original practice · 6 marks
    A small object moves at constant speed around a horizontal circle of radius 0.500 m0.500\,\mathrm m. The graph shows inward resultant force F against 1/T21/T^2, where T is its period. The fitted line passes exactly through (1.00 s−2,3.95 N)(1.00\,\mathrm{s^{-2}},3.95\,\mathrm N) and (3.00 s−2,11.85 N)(3.00\,\mathrm{s^{-2}},11.85\,\mathrm N). Treat this fit as exact.
    Gravity and motion
  20. Q229 · Original practice · 5 marks
    A spherical planet has radius R=7.00×106 mR=7.00\times10^6\,\mathrm m and surface gravitational field strength 8.00 N kg−18.00\,\mathrm{N\,kg^{-1}}. A small satellite follows a circular orbit with period 7200 s7200\,\mathrm s. Ignore planetary rotation and other bodies. Use G=6.67×10−11 N m2 kg−2G=6.67\times10^{-11}\,\mathrm{N\,m^2\,kg^{-2}}.
    Gravity and motion
  21. Q230 · Original practice · 4 marks
    The graph shows gravitational field strength g outside a spherical planet against 1/r21/r^2, where r is distance from its centre. The exact fitted line passes through (1.00×10−14 m−2,4.00 N kg−1)(1.00\times10^{-14}\,\mathrm{m^{-2}},4.00\,\mathrm{N\,kg^{-1}}). Use G=6.67×10−11 N m2 kg−2G=6.67\times10^{-11}\,\mathrm{N\,m^2\,kg^{-2}}.
    Gravity and motion
  22. Q245 · Original practice · 4 marks
    A survey robot travels 6.00 m6.00\,\mathrm m east, then 8.00 m8.00\,\mathrm m north. Use the supplied grid; each square represents 1.00 m1.00\,\mathrm m.
    Gravity and motion
  23. Q246 · Original practice · 4 marks
    A ball is projected with initial components ux=8.00 m s−1u_x=8.00\,\mathrm{m\,s^{-1}} and uy=9.80 m s−1u_y=9.80\,\mathrm{m\,s^{-1}}. The schematic path marks launch A, apex B and return to launch height C. Ignore drag; use g=9.80 m s−2g=9.80\,\mathrm{m\,s^{-2}}.
    Gravity and motion
  24. Q247 · Original practice · 5 marks
    A 2.00 kg2.00\,\mathrm{kg} block slides down a 30.0∘30.0^\circ incline. A rope pulls it uphill with tension 3.00 N3.00\,\mathrm N; kinetic friction has magnitude 1.00 N1.00\,\mathrm N. Use g=9.80 m s−2g=9.80\,\mathrm{m\,s^{-2}}.
    Gravity and motion