janae has an experiment where she is evaluating the data of her ramp experiment where she is asked to slide a tennis ball down a ramp with 5 different angles. Using the table down below Ramp angle in degrees Distance (in m) time 1 (s) time 2 (s) time 3 (s) T-avg Velocity(m/s) 20 1.7 0.45 0.43 0.40 0.4267 3.982 m/s 30 1.5 0.50 0.49 0.50 0.4967 3.022 m/s 45 2 0.71 0.65 0.68 0.68 2.941 m/s 60 1.8 0.85 0.83 0.85 0.8433 2.133 m/s 70 1.9 0.95 0.91 0.95 0.9367 2.029 m/s The variables can be used to express Gravitational Potential Energy: (Egp) and Kinetic Energy: (Ek) mathematically as shown below: For the object rolling down the ramp as shown in the drawing down below, what type of energy is present at point (1)? Explain. Point 2 is in the middle between 1 and 3. What type of energy is present at point (3)? Explain. Assuming that energy is conserved, you can develop an equation for the speed of the object at point (3) (i.e. v3). Since energy is conserved, write down “E1 = E3”. Plug in the appropriate energy equations for E1 and E3 using appropriate subscripts (i.e. h1, v3, etc). Solve the equation you just developed for v3. Does your equation for v3 agree with the results from the ramp experiments? Reference your data in the explanation. For each object: Calculate the potential energy and kinetic energy in the three points: 1, 2 and 3. Also find the speed of the object in the three point
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
janae has an experiment where she is evaluating the data of her ramp experiment where she is asked to slide a tennis ball down a ramp with 5 different angles. Using the table down below
|
Ramp angle in degrees |
Distance (in m) |
time 1 (s) |
time 2 (s) |
time 3 (s) |
T-avg |
Velocity(m/s) |
|
20 |
1.7 |
0.45 |
0.43 |
0.40 |
0.4267 |
3.982 m/s |
|
30 |
1.5 |
0.50 |
0.49 |
0.50 |
0.4967 |
3.022 m/s |
|
45 |
2 |
0.71 |
0.65 |
0.68 |
0.68 |
2.941 m/s |
|
60 |
1.8 |
0.85 |
0.83 |
0.85 |
0.8433 |
2.133 m/s |
|
70 |
1.9 |
0.95 |
0.91 |
0.95 |
0.9367 |
2.029 m/s |
The variables can be used to express Gravitational Potential Energy: (Egp) and Kinetic Energy: (Ek) mathematically as shown below:
|
For the object rolling down the ramp as shown in the drawing down below, what type of energy is present at point (1)? Explain. Point 2 is in the middle between 1 and 3. |
What type of energy is present at point (3)? Explain.
Assuming that energy is conserved, you can develop an equation for the speed of the object at point (3) (i.e. v3).
Since energy is conserved, write down “E1 = E3”.
Plug in the appropriate energy equations for E1 and E3 using appropriate subscripts (i.e. h1, v3, etc).
Solve the equation you just developed for v3.
Does your equation for v3 agree with the results from the ramp experiments? Reference your data in the explanation.
For each object:
Calculate the potential energy and kinetic energy in the three points: 1, 2 and 3.
Also find the speed of the object in the three points.
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