Ap Physics 1 Summer Assignment Worksheet Page 6
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1
2
3
4
5
6
7
8
9
10
11
12
13Use the figure below to answer problems 17 and 18.
θ
l
l
h
17. Find an expression for h in terms of l and θ.
18. What is the value of h if l = 6 m and θ = 40°?
Part 5: Algebra
Solve the following (almost all of these are extremely easy – it is important for you to work independently). Units on the
numbers are included because they are essential to the concepts, however they do not have any effect on the actual
numbers you are putting into the equations. In other words, the units do not change how you do the algebra. Show every
step for every problem, including writing the original equation, all algebraic manipulations, and substitution! You should
practice doing all algebra before substituting numbers in for variables.
Section I: For problems 1-5, use the three equations below:
1
2
2
��
= ��
+ ����
��
= ��
+ 2��(��
− ��
)
��
0
2
��
0
��
0
��
= ��
+ ��
�� +
����
��
0
0
2
2
1. Using equation (1) solve for t given that v
= 5 m/s, v
= 25 m/s, and a = 10 m/s
.
0
f
2
2. a = 10 m/s
, x
= 0 m, x
= 120 m, and v
= 20 m/s. Use the second equation to find t.
0
f
0
2
3. v
= - v
and a = 2 m/s
. Use the first equation to find t / 2.
f
0
2
4. How does each equation simplify when a = 0 m/s
and x
= 0 m?
0
Section II: For problems 6 – 11, use the four equations below.
�� = ����
��
≤ ��
��
��
��
��
= ��
��
��
��
��
= −����
��
5. If �� = 10 N and a = 1 m/s
2
, find m using the first equation.
6. Given �� = ��
, m = 250 kg, ��
= 0.2, and N = 10m, find a.
��
��
7. Σ�� = T – 10m, but a = 0 m/s
2
. Use the first equation to find m in terms of T.
8. Given the following values, determine if the third equation is valid. �� = ��
, m = 90 kg, and
��
. Also, ��
2
a = 2 m/s
= 0.1, and N = 5 N.
��
9. Use the first equation in Section I, the first equation in Section II and the givens below, find ��.
m = 12 kg, v
= 15 m/s, v
= 5 m/s, and t = 12 s.
0
f
10. Use the last equation to solve for F
if k = 900 N/m and x = 0.15 m.
s
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