Translational Motion
Answers
Unit 1: Vectors & 1D-Kinematics
Q1.1)
Q1.2) Ax = 17 = Ay
Bx = 0, By = 17
Cx = 17, Cy =0
Q1.3) a) R = 48.08 [45 degrees above horizontal]
b) R = 34 [up]
c) R = 0
Q1.4) 189 km
Q1.5) 216 m
Q1.6) In total you travel 62.1m while reacting and braking before coming to a stop, leaving you 2.9m away from the deer.
Q1.7) a) 0 m/s
b) 15 m/s [down]
c) 13 m from the ground
Q1.8) 4.3 seconds
Q1.9) a) 10.7 seconds
b) 85.3 m
c) 16 m/s or 57 km/h. This is not realistic for a human runner.
Q1.10) 26.44 m
Q1.11) a) 13.64 m/s
b) 3.03 m/s² (about 31% of g)
Unit 2: 2D-Kinematics & Relative Velocity
Q2.1) a) 132.5 km
b) 82.8 km [28.9 degrees N of E]
c) 99.4 km/h
d) 62.1 km/h [28.9 degrees N of E]
Q2.2) a) 21.65 m/s
b) 25 m/s
c) 7.97 m
d) 55.2 m
Q2.3) 24.8 m/s [62.4 degrees below horizontal]
Q2.4) 705 m [19.7 degrees S of E]
Q2.5) Yes, you catch your friend before he hits the ground after falling through a vertical height of 565 m.
Q2.6) a) 1.5 m/s [South]
b) 43.5 m/s [North]
Q2.7) 3.35 m/s [63.4 degrees S of E]
Q2.8) 96 km/h [32.1 degrees S of W]
Unit 3: Forces & Newton’s Laws
Q3.1) a) 13.3 N
b) 0 N
Q3.2) 2548 N
Q3.3) a) 18 000 N
b) 18 000 N
c) 2000 m/s/s
Q3.4) 0.37
Q3.5) 70 kg, which is a reasonable body mass for a person.
Q3.6) 0.485, in agreement with Q3.5
Q3.7) 11.3 degrees
Q3.8) 2.58 m/s² [up] for red and [down] for blue.
Q3.9) a) 3.56 m/s² [down] for blue, [up the ramp] for green, and [up] for red.
b) 93.6 N
Q3.10) 1.28x10⁻⁸ N
Q3.11) 3.15x10²² N [towards the Sun]
Q3.12) 43m/s² [horizontally to the right]
Unit 4: Work & Energy
Q4.1) 19.8 m/s [down]
Q4.2) 28.5 m/s
Q4.3) a) -1176 J
b) 0 J
c) 1176 J
Q4.4) a) 8.85 m/s
b) 14 m/s
c) 98 J
Q4.5) 12 m/s
Q4.6) 274 400 J which is 65.6 Cal
Q4.7) 0.23
Q4.8) 2.42 m
Unit 5: Conservation of Momentum
Q5.1) 1.67e6 kg m/s [40 degrees W of N]
Q5.2) 38.7 m/s [40 degrees W of N]
Q5.3) 1.06 m/s
Q5.4) Yes, this will save her. 7.7 cm/s [towards ISS]
Q5.5) N/A (See full solutions)
Q5.6) 1443 m/s [14 degrees N of W]
Q5.7) a) 2.41 m/s [11.5 degrees below horizontal]
b) The collision was inelastic.
Q5.8) 3.3 m/s
Q5.9) 370 m/s