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Physics 11 Review Questions: Dynamics & Kinematics Equations
These questions look at the dynamics and kinematics equations used in
grade 11 physics. You will want to use your formula sheet and look at the
General Kinematics and General Dynamics Equations for appropriate
formulae.
Complete on looseleaf. PSYW means PLEASE SHOW YOUR WORK.
1. A 0.250-kg ball is thrown upwards with an initial velocity of 12.0 m/s at an angle
of 30.0 degrees. Determine the acceleration of the ball when it has reached the
peak of its trajectory. Assume negligible air resistance.
2. A 72-kg skydiver is falling from 1.0 x 104 feet. At an instant during the fall, the
skydiver encounters an air resistance force of 540 Newtons. Determine the
acceleration of the skydiver at this instant. PSYW
3. A 72-kg skydiver is falling from 1.0 x 104 feet. After reaching terminal velocity
(the greatest velocity in free fall), the skydiver opens his parachute. Shortly
thereafter, there is an instant in time in which the skydiver encounters an air
resistance force of 1180 Newtons. Determine the acceleration of the skydiver at this
instant. PSYW
4. A 5.20-N force is applied to a 1.05-kg object to accelerate it rightwards across a
friction-free surface. Determine the acceleration of the object. (Neglect air
resistance.) PSYW
5. Determine the applied force required to accelerate a 3.25-kg object rightward
with a constant acceleration of 1.20 m/s2 if the force of friction opposing the motion
is 18.2 N. (Neglect air resistance.) PSYW
6. Determine the applied force required to accelerate a 3.25-kg object rightward
with a constant acceleration of 1.20 m/s/s if the force of friction opposing the
motion is 18.2 N. (Neglect air resistance.) PSYW
7. A 921-kg sports car is moving rightward with a speed of 29.0 m/s. The driver
suddenly slams on the brakes and the car skids to a stop over the course of 3.20
seconds with the wheels locked. Determine the average resistive force acting upon
the car. PSYW
8. A 0.250-kg rightward moving air track glider decreases its speed from 0.872 m/s
to 0.798 m/s over the length of a 1.71-m long air track. Determine the average
resistive force acting upon the air track glider. PSYW
9. A 1250-kg small aircraft decelerates along the runway from 36.6 m/s to 6.80 m/s
in 5.10s. Determine the average resistance force acting upon the plane. Assume
that its engine/propeller makes no contributions to its forward motion. PSYW
10. A tow truck exerts an 18300-N force upon a 1210 kg car to drag it out of a mud
puddle onto the shoulder of a road. A 17900 N force opposes the car's motion. The
plane of motion of the car is horizontal. Determine the time required to drag the car
a distance of 6.90 meters from its rest position. PSYW
11. A 4.44-kg bucket suspended by a rope is accelerated upwards from an initial rest
position. If the tension in the rope is a constant value of 83.1 Newtons, then
determine the speed (in m/s) of the bucket after 1.59 seconds. PSYW
12. A 22.6 N horizontal force is applied to a 0.0710-kg hockey puck to accelerate it
across the ice from an initial rest position. Ignore friction and determine the final
speed of the puck after being pushed for a time of .0721 seconds. PSYW
13. A train has a mass of 6.32 x 104 kg and is moving with a speed of 94.3 km/hr.
The engineer applies the brakes which results in a net backward force of 2.43x105
Newtons on the train. The brakes are held for 3.40 seconds. How far (in meters)
does the train travel during this time? PSYW
14. A shopper in a supermarket pushes a loaded cart with a horizontal force of 16.5
Newtons. If the cart has a mass of 33.8 kg, how far (in meters) will it move in 1.31
seconds, starting from rest? (Neglect resistive forces.) PSYW
Answers:
1. 9.81 m/s2 [down] or – 9.81 m/s2
2. 2.3 m/s2 [down] or – 2.3 m/s2
3. 6.6 m/s2 [up] or + 6.6 m/s2
4. 4.95 m/s2 [right] or + 4.95 m/s2
5. 1.82 m/s2 [right] or…
6. 22.1 N [rightward]
7. 8350 N [opposite direction to car’s movement or leftward]
8. 0.00903 N [opposite direction to glider or leftward]
9. 7.30 x 103 N [opposite direction to aircraft]
10. 6.46 s
11. 14.2 m/s
12. 23.0 m/s
13. 66.8 m
14. 0.419 m