IB Physics Summer Assignment

Q1: Two balls, one dropped from height h, one launched upward with speed u. Time when they meet?

Answer: t = h/u

Q2: Mass 2.0 kg pulled with 12.0 N, acceleration 2 m/s². Coefficient of kinetic friction μk?

μ ≈ 0.41

Q3: Lift mass 20 kg through 0.60 m each lift. Total energy 6×10⁴ J. How many lifts?

n = 500

Q4: Ball mass 1.5 kg, Δv = 10 m/s. Impulse Δp = 15 N·s. Graph gives Δt?

Δt = 0.30 s

Q5: Model rocket, average mass 0.20 kg, impulse from graph 15 N·s. Maximum speed?

v_max = 75 m/s

Q6: Two equal masses collide head-on and stick. Resultant velocity?

v_f = 1 m/s

Q7: Object slides from rest on frictionless incline 1 m in first second. Distance in second second?

3 m

Q8: Mass 2.0 kg, push 10 N, net force 6 N. Find μ and acceleration a.

μ ≈ 0.20, a = 3 m/s²

Q9: Rocket free-body diagram. Identify Newton’s third-law pairs.

Choice B

Q10: Two blocks on compressed springs: mX=1 kg, mY=0.25 kg, spring E=0.5 J. Velocities?

vX = 1 m/s, vY = 2 m/s

Q11: Book on table. Third-law partner of book’s weight?

Book pulls Earth upward

Q12: Two equal masses collide head-on. Possible outcome?

They stick and stop

Q13: Astronaut feels weightless inside free-falling spaceship. Why?

Astronaut and ship accelerate equally → no contact force

Q14: Ball thrown up, returns at time T. Height at time t?

h = ½ g t (T - t)

Q15: Book on table of rolling cart. Max acceleration without sliding?

a_max = μ g

Q16: Raindrop mass 34 mg, falls 21 m in 3 s, reaches 9 m/s. Energy transferred to air?

≈ 5.6×10⁻³ J

Q17: Box-load arrangement: tension T, speed when load hits floor, friction force after impact?

T ≈ 26 N, v ≈ 2.1 m/s, friction ≈ 2.1 N

Q18: Mass on string rotates vertical plane. Compare speed and tension at points P and Q.

Choice D

Q19: Two masses over pulley: m2 accelerates downwards g/3. Mass ratio?

Choice A

Q20: Point between Earth and Moon where gravitational fields cancel. Position?

d / (D - d) = √(ME / MM)

Q26: Gravitational field strength definition?

Force per unit mass on small point mass

Q28: Airboat radius 1.8 m, air speed 20 m/s, ρ = 1.2 kg/m³. Mass flow and thrust?

ṁ ≈ 244 kg/s, F_thrust ≈ 5×10³ N

Q29: Elastic rope drop: block m=80 kg, fall 60 m. Average rope force?

F ≈ 4.4×10³ N

Q30: Mass on rod rotating vertical circle. Rod force varies. Why?

Must adjust to provide constant centripetal force while weight vector fixed

Q31: Titan-Sun distance 9.3×Earth-Sun. Surface temp?

T ≈ 90 K

Q32: Planet orbit: centripetal force, gravitational potential, escape speed?

Fc = GMm/R², V ≈ -5×10⁹ J/kg, vesc ≈ 9.9×10³ m/s

Q33: Jupiter-Io system. Gravitational field at Io, potential ratio, escape energy?

g ≈ 1.8 m/s², potential ratio ≈ 80, include Jupiter’s potential

Q34: Mars satellite: orbital speed, solar intensity, mean surface temp?

v_orb, I ≈ 600 W/m², T ≈ 230 K

Q35: Which statements about Newton’s law of gravitation are correct?

Used for predicting motion & GPE; does not explain gravity → B

Q36: Uniform rod pivoted left end: support force, angular acceleration, angular momentum at vertical?

R = 22.5 N, α ≈ 2.94 rad/s², L ≈ 74.4 kg·m²/s

Q37: Merry-go-round diameter 4 m, I=450 kg·m², tangential force 50 N. Angular acceleration & speed after 1 rev?

α ≈ 0.222 rad/s², ω ≈ 1.67 rad/s, L ≈ 752 kg·m²/s

Q38: Wheel mass 0.25 kg, shaft r=0.012 m, cylinder r=0.04 m, I=1.3×10⁻⁴ kg·m², drop 0.36 m. Linear and angular speeds?

v ≈ 1.2 m/s, ω ≈ 100 rad/s

Q39: Hoop mass m, radius r, rolling down incline θ=20°. Acceleration & slip angle?

a ≈ 1.68 m/s², slip begins at tanθ = 2μ

Q40: Bar pivoted at center, particle M/3 collides at v=2.1 m/s. Angular speed & revolutions before rest?

ω = v/(4R), ≈2 revolutions