Section III: For problems 12, 13, and 14 use the two equations below.
2
=
=
11. Given that v is 5 m/s and r is 2 meters, find a.
2
12. Originally, a = 12 m/s
, then r is doubled. Find the new value for a.
13. Use the second equation to find θ when τ = 4 Nm, r = 2 m, and F = 10 N.
Section IV: For problems 15 – 22, use the equations below.
1
= (Δ)
2
=
=
2
1
2
=
Δ
= ℎ
=
2
14. Use the first equation to solve for K if m = 12 kg and v = 2 m/s.
15. If ∆U
2
= 10 J, m = 10 kg, and g = 9.8 m/s
, find h using the second equation.
g
16. K = ∆U
2
, g = 9.8 m/s
, and h = 10 m. Find v.
g
17. The third equation can be used to find W if you know that F is 10 N, ∆x is 12 m, and θ is 180°.
18. Given U
= 12 joules, and x = 0.5 m, find k using the fourth equation.
s
19. For P = 2100 W, F = 30 N, and θ = 0°, find v
using the last equation in this section.
avg
Section V: For problems 23 – 25, use the equations below.
=
Δ = Δ
Δ = Δ
20. p is 12 kgm/s and m is 25 kg. Find v using the first equation.
21. “∆” means “final state minus initial state”. So, ∆v means v
– v
and ∆p means p
– p
. Find v
using the third
f
i
f
i
f
equation if p
= 50 kgm/s, m = 12 kg, and v
and p
are both zero.
f
i
i
22. Use the second and third equation together to find v
if v
= 0 m/s, m = 95 kg, F = 6000 N, and
i
f
∆t = 0.2 s.
Section VI: For problems 26 – 28 use the three equations below.
1
=
= 2√
= 2√
2
23. T
is 1 second and g is 9.8 m/s
. Find l using the second equation.
p
24. m = 8 kg and T
= 0.75 s. Solve for k.
s
2
25. Given that T
= T, g = 9.8 m/s
, and that l = 2 m, find f (the units for f are Hertz).
p