Exam Review for grade 12s
1.
A person walks along a path in a straight line, starting off at his home. The person walks 50 m [N] in two minutes
and stops for six minutes. The person then walks for another three minutes, and his overall displacement from his
home is 30 m [N]. What was his displacement after he stopped, during the three minute interval?
2.
Ms. LateforClass is….late for first period class (wouldn’t dream of being late for Physics) and takes the corner at
ND a little too sharply. Her initial displacement from home to the stop light at Kennedy and Bovaird is 600 m [N
40 E]. Her overall displacement from home to the ND parking lot is 700 m [N 20 E]. Determine her displacement
from the stop light to the Notre Dame parking lot.
3.
A Dodge Viper 001 (Special Edition, for Super Spy Agents only) is initially 10 m behind a Porsche Boxster, when
he sees the car. The initial speed of the Viper is 15 m/s, and the initial speed of the Boxter is 64.8 km/hr. 2
seconds later, the driver of the Viper floors it and the car accelerates at 6.5 m/s2. What is the initial distance
separating the Viper and the Boxster before the Viper begins to accelerate. What is the speed of the Viper when it
passes the Boxster (assume the speed of the Boxster is constant)?
4.
Spiderman has briefly lost his ability to use his “Spidey Web” after a run in with Dare Devil. He needs to reach
the top of a building (40 m high), and calls his old friend, Super Spy Agent Burt Engle (who always is willing to
lend a hand to his fellow crime fighters) to give him a hand. Agent Burt Engle places a human cannon launcher 42
m from the base of the building, and after doing some calculations decides to launch Spidey with a speed of 30 m/s
at an angle of 70 degrees relative to the horizontal. Will Spidey land “safely” on the roof top of the building, or
will Spidey “crash” into the side of the building (wishing he had called 001).
5.
Please refer to the diagram to answer the following questions. The contraption has an initial velocity of 0 m/s and
a
in 3 seconds moves 1 m. Determine the acceleration of the system
GBM
mass is
5 kg
Why can air resistance be ignored in this question?
If the coefficient of friction decreases, explain what happens to the acceleration?
Explain two different ways in which the acceleration of the system can decrease?
Dough Boy
mass is 5.5 kg
6.
A car (mass is 800 kg) is rounding a curve, with a bank angle of 10 degrees. The coefficient of friction between
the tires of the car and the road is 0.4. The maximum speed the car can take the curve at (without slipping) is 85
km/hr. Draw a diagram, complete with all the forces acting on the car, and clearly label the coordinate system.
Determine the force due to gravity acting on the car, the acceleration in the y direction, the net force in the y
direction, the normal force, the radius at which the bank was designed at.
WHY is the radius independent of mass (ie. it is the same regardless of the mass of the car)? If the radius of the
turn remains the same, explain what occurs to the maximum speed as the coefficient of friction decreases.
7.
A ball (mass is 1.5 kg) is attached to the end of a string, 1 meter long. The ball is swung in a vertical plane, and
experiences two forces (tension and gravity). In 3 seconds, the ball completes 4.5 revolutions. Determine
a) the period of motion
b) the speed of the ball
c) the centripetal force
d) force of gravity
e) tension when the ball it at it lowest point of motion
f) tension when the ball is at its highest point of motion
g) When is the string most likely to snap (at the lowest or highest point)?
8.
A satellite (mass is 500 kg) is orbiting in a circular path around the earth (me = 5.98x1024 kg, re = 6.4x106 m) at an
altitude of 500 kilometers above the earth surface. Determine
a) the distance between the center of the earth and the satellite
b) the gravitational potential energy of the satellite
c) the kinetic energy of the satellite
a
d) the speed of the satellite
e) the period of the satellite’s motion
f) the total energy of the satellite while it is in orbit at 500 kilometers
The satellite fires a rocket which “boosts” its altitude to 550 kilometers above the earth. Determine
g) the total energy of the satellite in its new orbit
h) the period of the satellite’s motion
i) the amount of energy the satellite gained due to its rocket being fired
9.
Some ND students go to Wonderland on grad night and experience a great ride on the wooden roller coaster. The
following is a diagram of the coaster. The mass of the cart is, with occupants is
600 kg. The initial speed of the cart is 10
A
m/s at point A (assume conservation of
mechanical E). Determine
a) the kinetic energy of the cart at point A
20 m
b) the gravitation potential energy of the
cart at point A (define point B as your
reference point, where h = 0)
c) the total energy of the cart at point A
B
d) the total energy of the cart at point B
e) the gravitational potential energy of the
cart at point B
f) the kinetic energy of the cart at point B
g) the speed of the cart at point B
h)the speed of the cart at point C
C
16 m
If the reference height (h = 0) was point A, explain why your answer to questions g and h would not change.
10. Some ND students go to Wonderland on grad night and experience a great ride on the wooden roller coaster (same
diagram as in question 9). For every one centimeter of track traversed, the cart loses approximately 0.5 Joules of
energy. The total length of track between point A and C is 250 m. Determine
a) the energy lost between points A and C.
b) the speed of the cart at point C
c) Based on the given information, can you determine the speed of the cart at point B (explain)?
11. A string on a crossbow is pulled back 40 cm from its equilibrium position. The spring constant for the crossbow is
250 N/m. The mass of the arrow is 15 grams. The arrow is fired. Determine the final velocity of the arrow if
a) 100% of the crossbow’s energy is transferred to the arrow
b) only 40% of the crossbow’s energy is transferred to the arrow
c) Calculate the force required to pull the string
d) If you exerted the same amount of force (as found in c) to lift an object, what is the mass of the object?
12. A secret super spy agent is doing some grocery shopping at
Fortinos, when he notices a Purple Dinosaur standing at the
entrance selling chocolate covered almonds and raising money
for the SPD society fund (Save the Purple Dinosaur).
Suspicious of the Purple Dinosuar and the fund he represents,
the secret super spy agent (who is this secret super spy
agent……it is a secret) begins to pull a crate with a force of 50
N, at an angle of 10 degrees to the horizontal, and moves
towards the dinosaur. The coefficient of friction is 0.04
(between the crate and the floor). The crate has a mass of 40 kg.
He moves the crate a distance of 0.45 m. Determine
a) the net work done on the crate
b) the change in kinetic energy of the crate
c) the final velocity of the crate (initial velocity is 0)
ANTI
PURPLE
DINO
SURPRISE
oh yes….its
true!!!
25
13. On the planet Bizarro, a particle (mass is 2x10-27 kg, initially stationary) decays into three particles. Particle a
(mass is 3x10-28 kg) heads North with a velocity of 1x105 m/s. Particle b (mass is 3x10-28 kg) heads [N30E] with a
speed of 2x105 m/s. Is momentum a vector or scalar quanity? Determine
a) the total momentum in the x direction before the decay
b) the total momentum in the y direction before the decay
SPD
c) the momentum after the decay for particle a in the x dir.
d) the momentum after the decay of particle a in the y dir.
e) the momentum after the decay for particle b in the x dir.
f) the momentum after the decay of particle b in the y dir.
g) the momentum of particle c in the x direction after the decay
h) the momentum of particle c in the y direction after the decay the velocity of particle c (speed and heading)
14. An arrow (mass is 10 grams, speed is 40 m/s) is fired into a mass (3 kg, initial speed is 0) hanging on a string.
Determine
a) the momentum of the arrow and the mass prior to collision
b) the speed of the arrow/mass after impact (assume conser. of momentum)
c) the maximum height the mass/arrow swings to (refer to notes on momentum and energy for a diagram).
15. Refer to the diagram. At point P, there is a +1 nanoCoulomb
charge. Determine
a) the magnitude of the force at point P due to charge A
b) the x component of the force at point P due to charge A
c) the y component of the force at point P due to charge A
d) the magnitude of the force at point P due to charge B
e) the x component of the force at point P due to charge B
f) the y component of the force at point P due to charge B
g) the x component of the net force acting on the charge at point P
h) the y component of the net force acting on the charge at point P
i)
the net force acting on the charge at point P
P
0.15 m
+
Qa = 1 C
+
1m
+
Qb = 4
16. An oil drop with a negative charge of 1x10-7 C is stationary, between two plates that are parallel to each other.
The plates are separated by a distance of 1 cm. The mass of the drop is 2x10 -5 kg.
a) Draw the diagram (Millikan Oil Drop Experiment, be sure to correctly label the positive and negative plate)
b) Determine the force of gravity acting on the drop
c) Determine the force due to the electric field acting on the drop
d) Why is this force the same regardless of the position of the oil drop within the plates?
e) Determine the magnitude of the electric field
f) Determine the potential difference between the two plates
-
+
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