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Practice Test — Physics Math
Practice Test — Physics Math
Test your mastery of kinematics, Newton's laws, energy, and projectile motion.
Practice Test — 20 Questions
1. An object falls for 5 s. How far? ($g = 10$ m/s²)
2. $v = v_0 + at$. If $v_0 = 0$, $a = 3$, $t = 6$, find $v$.
3. What is the weight of 25 kg?
4. Net force on a 4 kg object accelerating at 7 m/s²?
5. Friction: $\mu = 0.5$, $N = 40$ N. Find $f$.
6. Speed after falling from 80 m? ($v = \sqrt{2gh}$)
7. KE of 3 kg at 8 m/s?
8. PE of 5 kg at 12 m?
9. Work done by 60 N over 5 m?
10. Power to lift 100 kg by 10 m in 4 s?
11. Resolve 50 m/s at 37° into components.
12. Range of a projectile: $v_0 = 20$ m/s, $\theta = 45°$?
13. Max height: $v_0 = 40$ m/s, $\theta = 30°$?
14. Magnitude of $(6, 8)$?
15. Atwood machine: 2 kg and 8 kg. Find acceleration.
16. A car brakes from 20 m/s at $-4$ m/s². Stopping distance?
17. What does $v^2 = v_0^2 + 2a\Delta x$ solve for when $v = 0$?
18. $F = ma$. Solve for $m$ if $F = 120$ N, $a = 6$ m/s².
19. What angle gives the same range as 30°?
20. A pendulum hangs from 2 m cord, swings through 0.8 m height. Speed at bottom?
Show Answer Key
1. 125 m
2. 18 m/s
3. 250 N (using $g = 10$)
4. 28 N
5. 20 N
6. 40 m/s
7. 96 J
8. 600 J
9. 300 J
10. 2500 W
11. $v_x \approx 40$, $v_y \approx 30$
12. 40 m
13. $h = (40 \sin 30°)^2/(20) = 20$ m
14. 10
15. $a = 6(10)/10 = 6$ m/s²
16. $x = 400/8 = 50$ m
17. Stopping distance: $\Delta x = -v_0^2/(2a)$
18. $m = 20$ kg
19. 60° (complementary angles give equal range)
20. $v = \sqrt{2(10)(0.8)} = 4$ m/s