Download Science - Chaparral Middle School

Science Period ___
Rollercoaster Practice EQs
Name _________________________
Date __________________________
Using the formulas given on the attached piece of paper and from your notes,
calculate the final results of each problem...
- show ALL work for any credit
- make sure you put correct units
- circle / box your answer
1) If a rollercoaster is 1000 feet long, how many meters long is it?
2) If a drop on a ride is 21.4 meters, how many inches is that?
3) The first 5 seconds on a ride, your car accelerates to 60 mph. After that it gradually slows
down by the end of the ride. Explain the most obvious reason why (don’t just “list”).
4) If the average speed of your car was 48 km/hr, and the ride took you 3 min. to complete
how long was the total distance of the ride, measured in meters?
5) If your car on the ride begins to acceleration at a rate of 0.2 m/sec2, how fast are you
travelling after the first 30 seconds, in feet per second?
6) As your car moves, the ride swings you downward, tripling the force due to gravity to 3G’s.
If the total force on your body is 5186.16 N, how much do you feel you weigh, in pounds,
as you swing downward?
7) Your car is going up a tower to be dropped back down. The tower is 50 meters tall.
Calculate the work required to lift this car against the downward force of gravity, if the car
weighs 1200 kg, and the four riders weigh 300 kg total. Measure in kilojoules (kJ).
8) If you are standing 140 feet from the tower in the previous question, how tall is the tower if
the angle of incline is 52, measured in meters?
9) The height of a tower is 40 meters. If the angle of incline from where you are standing is
38, how far from the tower are you standing, measured in feet?
10) Does it matter how far you stand from the tower to find the height? Explain. What would
happen if you were really close (1 meter)? Really far away (10 km)?
11) Once a roller coaster ride is given its initial energy, it doesn’t require any more energy to
complete the ride. We say it has enough momentum to reach the end. If a car full of
riders weighs 1000 kg, and has a momentum of 4200 kg  m / sec, how fast is the car
moving (on average) in feet per second?
12) You throw a baseball at an object to knock it off a shelf, in an effort to win a prize. If the
force needed to move the object is 27 N, and the baseball weighs 180 grams, how fast
are you going to have to throw the baseball to win?
FORMULAS / INFORMATION A) 1 kilogram (kg) = 2.2 pounds (lb)
B) 1 meter = 3.3 feet
1 lb = 0.45 kg
1 foot = 0.31 meters
C) Speed (aver.) = distance
time
1 meter = 100 centimeters
Distance = speed x time
D) Velocity = speed + direction
Velocity = acceleration x time
E) Force = mass x acceleration
(newtons)
Time = distance
speed
Acceleration = velocity
time
time = velocity
acceleration
Acceleration = Force
mass
G) tan  = side a (height object)
side b (distance to object)
Mass = Force
acceleration
1 Newton (N) = 1 kg  m
sec 2
F) acceleration due to gravity = 9.8 meters
sec 2
To measure the height of towers...
- you need the distance
- you need to rearrange formula
a

1 kg = 1000 grams (g)
Height (side a) = tan   side b
(distance)
b
find the angle () by using an altimeter!
H) Work = Force x Distance
1 Joule (J) = 1 N x m
J) Pressure = Force
Area
=
Distance = Work
Force
1 kg  m x m
=
sec 2
Force = Pressure x Area
Force = Work
Distance
1 kg  m2
sec 2
Area = Force
Pressure
1 Pascal (Pa) =
K) Momentum = Mass x Velocity
Mass = Momentum
Velocity
Velocity = Momentum
Mass