Download Objective 1: Evaluate the following problems using the “kinematic

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Objective 1: Evaluate the following problems using the “kinematic equations.”
1) A car’s velocity decreases from 22.0 m/s to 10.0 m/s over a period of 3.0 s. What
is the car’s acceleration?
2) If a sprinter accelerates from rest at a constant rate of 2.0 m/s2, how fast will she
be running after 4.0 s?
3) A skateboarder starts from rest and maintains a constant acceleration of 0.50 m/s2
for 8.4s. What is the rider’s displacement during this time?
4) A sports car moves starts from rest and travels 100.0 m in the first 4.5 s with
constant acceleration. What is its acceleration?
5)
Objective 2: Evaluate the following force problems.
Draw a free body diagram for the following situations and then solve for the net force:
F
(Remember, since a  net objects only have net forces on them if they are
m
accelerating!!!)
1. If an object is moving at a constant velocity, what is the net force?
2. A 6 kg book sitting still
on a table.
4. A 8 kg box being pushed to the right
with a force of 15 N and to the left with a
force of 30 N.
3. A 12 kg box being pushed on a frictionless
table to the right with a force of 20 N
5. A 20 kg box gliding to the right with a constant
velocity of 3 m/s.
6. A 15 kg box sitting on a table that is being
pushed to the right with a 70 N force and there
is a force of friction of 50 N.
7. A 3 kg box being pushed on a table to the
right with a force of 12 N and there is a
frictional force of 5 N.
Slightly more difficult:
8. What is the acceleration of a box if it has a mass of 5 kg, and it is being pushed to the right
with a force of 10 N and there is a frictional force of 5 N?
- First draw the free body diagram of the forces acting on the box.
- Can you figure out the acceleration based on the net force on the box?
Objective 3: Evaluate the problems and solve for the unknown variable.
1) A rolling ball has an initial velocity of 1.6 m/s. If the ball continues to roll at a
constant acceleration of 0.33 m/s2, what is its velocity after 3.6 seconds?
2) How far did the rolling ball in the above problem travel in that time?
3) If a car has a mass of 2200 kg, what force is required to get the car moving with
an acceleration of 0.05 m/s2?
4) A car with a mass of 1525 kg is traveling at 20 m/s when the drive sees a ball roll
into the street. From the time the driver applies the brakes, it takes 2 s for the car
to come to a stop. What is the average acceleration of the car during this period?
5) What force was applied to the car to make it stop?
6) A pebble with a mass of 86 kg falls from a bridge into the river below. If the
pebble falls for 1.2 s, what is its velocity when it hits the water?
7) What is the force that the pebble exerts on the water when it hits?
8) A squirrel drops an acorn from a tree branch that is 8 m from the ground. How
long is the acorn in the air?
9) If you throw a ball straight upward, it will rise into the air and then fall back down
toward the ground. Imagine that you throw the ball with an initial velocity of
13.7 m/s. How long does it take the ball to reach the top of its path in the air?
10) How far will the ball rise before it begins to fall back down to the ground?
11) What will the velocity of the ball be when it gets back down to you right before
you catch it?