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1. A car travels at a constant speed of 15 m/s for 10 seconds. How far did it go?
t
dv
t
dv vtd rearrange
ssmd 10/15
md 150
2. How much time will it take to walk 100 meters at a constant speed of 2 m/s?
t
dv
t
dv
v
dt rearrange
sm
mt
/2
100 st 50
3. You drop an object off the top of a 75 meter tall building. It falls freely and hits the ground 7 seconds later. What is the average speed of the object as it fell?
3. You drop an object off the top of a 75 meter tall building. It falls freely and hits the ground 7 seconds later. What is the average speed of the object as it fell?
t
dv
s
mv
7
75
smv /7.10
4. You drop a rock off the top of a tall cliff. How fast is it traveling 3 seconds later?
gtvv 0
You are asked to calculate the final velocity (v)
Initial velocity: V0 = 0 since you “dropped” the rock
sv 3100
smv /30
5. You drop a 4.0 kg rock from a height of 20.0 meters above the ground. How long will it take to hit the ground?
5. You drop a 4.0 kg rock from a height of 20.0 meters above the ground. How long will it take to hit the ground?
g
dt
2
10
202 mt
In a free fall problem the mass does not change the acceleration of an object when there is no air resistance
st 2
4t
6. According to the figure below, what is the acceleration of the block?
m
Fa
First you need to calculate the net force (20 -10 =10)
kg
Na
20
10 2/5.0 sma
7. A net force of 10 Newtons is used to push a car about 25 yds. The car’s acceleration is 1.0 m/s2. What is the mass of the car?
7. A net force of 10 Newtons is used to push a car about 25 yds. The car’s acceleration is 1.0 m/s2. What is the mass of the car?
maF rearrangea
Fm
2/0.1
10
sm
Nm kgm 10
8. You kick a 0.5 kg stationary ball with a force of 20 Newtons. What is the force on your foot?
Newton’s Third Law states that the forces are equal and opposite in direction
Force would be 20N
9. If you have a weight of -850 Newtons, and are standing on the ground. What is the force that the Earth is pushing back up on you?
9. If you have a weight of -850 Newtons, and are standing on the ground. What is the force that the Earth is pushing back up on you?
850 N
-850 N
Remember that weight (force of gravity) is pointed downward. We can represent down with a (-) sign
10. What happens to the gravitational attraction (the force) between two objects when the distance between them increases? decreases?
10. What happens to the gravitational attraction (the force) between two objects when the distance between them increases? decreases?
221
d
mmGF
Newton’s Law of Universal Gravitation tells us the relationship of distance and mass on the gravitational force
Distance is on the bottom so it is inversely proportional-distance gets greater, force gets smaller
When distance decreases, force increases
11. When an object is moving in uniform circular motion, which way is it accelerating?
Both acceleration and centripetal force are pointed to the center of the circle
12. Each of the 3 objects below moves with a velocity of 1m/s. What is the total kinetic energy of the system?
12. Each of the 3 objects below moves with a velocity of 1m/s. What is the total kinetic energy of the system?
2
2
1mvE
To calculate total kinetic energy you need to add up the masses of the 3 objects.
2/152
1smkgE JE 5.2
13. What is the kinetic energy of an object with a mass of 5 kg traveling at a speed of 10 meters/second? Assume no other forces act upon the object.
13. What is the kinetic energy of an object with a mass of 5 kg traveling at a speed of 10 meters/second? Assume no other forces act upon the object.
2
2
1mvE 2/105
2
1smkgE
JE 250
14. You lift a heavy rock with a mass of 15 kg to a height of 5.0 meters above the ground. What is the potential energy given to the rock?
14. You lift a heavy rock with a mass of 15 kg to a height of 5.0 meters above the ground. What is the potential energy given to the rock?
mghE mkgE 0.51015
JE 750
15. A 1.5 kg rock falls to the ground off the top of a 25 meter tall cliff. What is the Kinetic energy of the rock right before it hits the ground?
15. A 1.5 kg rock falls to the ground off the top of a 25 meter tall cliff. What is the Kinetic energy of the rock right before it hits the ground?
We do not have velocity to use in equation for KE.
Calculate the PE knowing it will all be transformed into KE
mghE mkgE 25105.1
JE 375
16. A 3.5 kg object is moving with a velocity of 2.0 m/s. What is its momentum?
mvp smkgp /0.25.3
smkgp /0.7
17. The diagram below represents an inelastic collision between two blocks on a frictionless air track. After the collision the two objects “stick” together. What is the mass of the second box?
17. The diagram below represents an inelastic collision between two blocks on a frictionless air track. After the collision the two objects “stick” together. What is the mass of the second box?
Calculate the total momentum of both boxes before the collision. It will have the same total momentum after as well
mvpblock 1 400/20201 smkgpblockmvpblock 2 00?2 blockp
4000400 totalp
17. The diagram below represents an inelastic collision between two blocks on a frictionless air track. After the collision the two objects “stick” together. What is the mass of the second box?
Since the total momentum before = 400
Total momentum after = 400
mvpafter 15400 m kgmtotal 7.2615
400
18. When the two objects of different mass collide and couple together, what will be their resultant velocity?
18. When the two objects of different mass collide and couple together, what will be their resultant velocity?
Calculate the total momentum of both boxes before the collision. It will have the same total momentum after as well
mvpblock 1 1005201 blockp
mvpblock 2 0052 blockp
1000100 totalp