Physics 11
Midterm Review Questions
Exam Breakdown:
Frequency and Period
Kinematics
Gravity
Vector Math
Vector Applications (Boats)
Projectiles
Dynamics – Forces
Dynamics – Momentum
4%
18 %
14 %
4%
6%
14 %
32 %
8%
There are No Functional Analysis Questions
There are No Airplane Questions on the Exam
Set #1
1.
A diving board makes 36.0 cycles in 22.00 seconds. Find the frequency and the period.
2.
A rocket accelerates from 24.0 to 36 m/s. If it travels 125 m, how much time does it take?
3.
What is the acceleration of a car that accelerates from 12.0 m/s to 46.0 m/s over a distance of 156
m?
4.
Find the displacement and the final velocity of a ball that is thrown upwards with an initial
velocity of 48.0 m/s and is in the air for 6.0 seconds?
5.
What is the change in velocity and the acceleration of an object that goes from 40.0 m/s [E] to 180
m/s [W] in 27.5 s?
6.
Find the final velocity and the time required for an egg that starts from rest to fall 180m.
7.
Find the acceleration and the final velocity for an object that starts with an initial velocity of 12
m/s to slide down an 8.00 m long and 4.00 m high ramp.
8.
How long will it take a 14 m pendulum to make 32 cycles?
9.
Determine the resultant when the following vectors are added together 24 m [30o N of E] and
16 m [S].
10.
A boat that is able to travel 12.0 m/s through the water attempts to travel straight across a 170m
wide river that is flowing at 16.0 m/s without anticipating the current. Determine the resulting
velocity of the boat, the time to cross the river, and the distance downstream it lands.
11.
A projectile is launched horizontally at 36 m/s from a 19.6 m high cliff. Determine the time of
flight and the distance it travels.
12.
A dart is thrown horizontally at a dart board 2.8 m away. The dart drops by 32 cm before it hits
the dartboard. What was the initial speed of the dart?
13.
What is the distance between a 128 kg object and a 136 kg object if the gravitational force of
attraction between them is 6.582x10-10 N?
14.
Two students are on a skateboards and push away from each other. A 48 kg student accelerates
away at 2.6 m/s2. Find the acceleration of the other student if their mass is 32 kg.
15.
A 42.0 N force is applied to a 6.00 kg block but it only accelerates at 5.50 m/s2. Determine both
the force and the coefficient of friction.
16.
What is the size of the normal force from the floor of an elevator on a rider whose weight is 490 N
if the elevator accelerates up at a rate of 0.650 m/s2?
17.
What is the force applied to a 17.0 kg object that changes its velocity from 18.0 m/s to –38.5 m/s
in a time of 14.0 s?
18.
An 800 kg Volkswagen bug traveling at 6.4 m/s [E] bumps into a 5400 kg dump truck that is
traveling at 2.8 m/s [W]. If the speed of the Volkswagen after the collision is 3.5 m/s [W], what is
the final velocity of the dump truck?
19.
What is the final velocity of a 28.0 kg object that has an initial velocity of 12.5 m/s and an applied
force of 98.0 N as it slides for 6.80 s across a rough floor where µ=0.480 ?
20.
What is the gravitational field strength on a planet where a 7.7 m long pendulum cycles 48 time in
214 s?
Answers to Set #1:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
f = 1.64 Hz, T = 0.611 s
t = 4.2 s
a = 6.32 m/s2
d = 1.1x102 m, v = -11 m/s
∆v = 220 m/s [W] , a = 8.00 m/s2 [W]
v = 59.4 m/s , t = 6.06 s
a = 4.90 m/s2 , v = 15 m/s
t = 2.4x102 s
d = 21 m [ 11o S of E]
v = 20.0 m/s [ 53.1o downstream ] , t = 14.2 s , d = 227 m
t = 2.00 s , d = 72 m
v = 11 m/s
d = 42.0 m
a = -3.9 m/s2
F = 9 N , µ = 0.153
F = 523 N
F = -68.6 N
v = 1.3 m/s [ W ]
v = 4.31 m/s
g = 15 m/s2
Set #2
1. Jim, who lives on the planet Zog, notices that a 2.40 m long pendulum makes 40 cycles in 142.2 s.
Determine the frequency of the pendulum.
2. Determine the period of the pendulum.
3. Use the pendulum to determine “g” on the planet Zog.
4. After physics class, Jim puts on a pair of skis and starts at the top of a slope that is 85.0 m long
(diagonally) and drops 13.5 m. Determine Jim’s acceleration on the slope. (Ignore friction)
5. If Jim starts at the top of the slope with an initial velocity of 18.5 m/s, what is his final velocity at the
bottom?
6. Determine Jim’s weight if his mass is 80.0 kg. Remember that he lives on Zog.
7. At the end of the slope Jim attempts to coast across a flat section. Determine the force of friction on
Jim if the coefficient of friction is µ=0.240 .
8. Draw a free body diagram and determine the net force on Jim as he coasts across the ground.
9. Determine Jim’s acceleration on the flat section.
10. If Jim coasts with this acceleration for 8.80 seconds, find his final velocity.
11. How far does he coast during the 8.80 s?
12. Jim who is now traveling at 7.50 m/s now collides with another skier named Susan who, immobilized
by fear, was at rest at the time. In a panic, Susan, all 65.0 kg of her, grabs onto Jim and they stick
together. Determine their combined velocity after the collision.
13. Always wondering about physics questions, Jim wonders what his change in velocity was as a result
of the collision. Find this value for him.
14. Susan is concerned with the amount of impulse the collision applied to her. Find this value.
15. Immediately after the collision, the couple flies horizontally off of a small cliff. The cliff is 12.0 m
high. Determine the time of flight for the couple. Remember that this is on Zog where g is not 9.80 .
16. How far from the base of the cliff will they land?
17. The couple lands safely in a small boat that is just beginning a trip across a 48.0 m wide river that is
flowing at 6.00 m/s [West]. The boat is capable of traveling through the water at 8.00 m/s but it is
being driven by a dumb boater who simply points the boat straight across the river in a North
direction. Find the velocity of the boat wrt the shore.
18. Find the time to cross the river.
19. How far downstream will they land?
20. During the boat ride, Jim and Susan fall hopelessly in love. Find the gravitational force of attraction
between them as they sit 45.0 cm apart in the boat.
21. Just when Susan and Jim think the boat trip is over, the driver aims straight down river and the boat
goes over a small waterfall that is 2.5 m high. The driver, hoping to clear the rocks which extend 8.00
m from the base of the waterfall speeds up to just the right speed. Calculate the necessary speed.
22. During the freefall, Jim wonders what the answer was to his physics homework question that was
assigned the day before:
Find the result when these vectors are subtracted: 24 m/s [West] – 15 m/s [North]
Susan, hoping to impress her newfound love, offers to help him find the answer. Susan is a Biologist
and needs your help.
23. The boat driver, fascinated by high speeds is wondering what the speed of his boat would be in
km/week if he cruises at his usual 8.00 m/s. The driver is a Chemist and also needs your help.
24. How many other people are there in the boat?
Answers:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
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21
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24
Many sig. figs:
0.281294
3.555
7.497073
1.190712
23.33819
599.7659
143.9438
-143.9438
-1.799298
7.504369
135.7072
4.140302
-3.36403
269.1222
1.789203
7.407914
10, 36.869898
6.000000
36.00000
1.71279x10-6 N
9.796047
28.301943,32.005383
4838.4
42
Rounded Correctly:
0.2813 Hz
3.555 s
7.50 m/s2
1.19 m/s2
23.3 m/s
600 N
144 N
-144 N
-1.80 m/s2
7.50 m/s
136 m
4.14 m/s
-3.36 m/s
269 Ns
1.79 s
7.41 m
10.0 m/s [36.9o W of N]
6.00 s
36.0 m
1.71x10-6 N
9.80 m/s
28 m/s [32o S of W]
4.84x103 km/week
42