Kinematics
The cart began at the top of a wooden ramp which was held up by 5 Physics Textbooks. When released, said cart accelerated rapidly down the length of the ramp until it was stopped. The motion of the cart went from a slow to fast, also known as acceleration, other than a few inconsistencies in the surface it was pretty consistent results.. The cart was not in constant velocity motion because it is accelerating from an initial velocity of zero as in Figure 1.1 which is a Position vs.Time Graph. Also position changes in an inconstant matter due to the fact that the cart is not traveling in a constant velocity as shown by the Figure 1.2..
The cart began at the top of a wooden ramp which was held up by 5 Physics Textbooks. When released, said cart accelerated rapidly down the length of the ramp until it was stopped. The motion of the cart went from a slow to fast, also known as acceleration, other than a few inconsistencies in the surface it was pretty consistent results.. The cart was not in constant velocity motion because it is accelerating from an initial velocity of zero as in Figure 1.1 which is a Position vs.Time Graph. Also position changes in an inconstant matter due to the fact that the cart is not traveling in a constant velocity as shown by the Figure 1.2..
Postion Function
Xf = Xi + Vit + 1/2at 95 cm = 0 cm+ 0 * 1.328 s + 1/2a * 1.328 s a = ~ 107.74 cm/s2. Velocity Equations Vf = Vi + at Vf = 0 + (107.74 cm/s2)(1.328 s) Vf = ~ 143.07872 cm/s Vf2 = Vi2 + 2a∆x Vf2 = 0+2(107.74 cm./s2)(95 cm - 0 cm) Vf2 = 20,470.60 cm2/s2 Vf = ~ 143.07278 cm/s2 |
Variables
Xf = Final Position Xi = Initial Position Vi = Initial Velocity Vf = Final Velocity t = Time a = Acceleration |
Forces
As the cart rolls down the ramp gravity is increasing on the object. The friction of the ramp is limiting the speed in which the cart is traveling. The free-body diagram (Figure 1.3) gives us decent representation of the forces being acted on the cart, such as friction, gravity, etc. Using the four fundamental forces we can determine the forces being acted upon the cart as it rolls down. The obvious force which is gravity is pushing down on the cart which is causing it to move down the ramp. Strong force was applying force in the opposite direction of gravity which balanced out and caused the cart to stay on the ramp.
As the cart rolls down the ramp gravity is increasing on the object. The friction of the ramp is limiting the speed in which the cart is traveling. The free-body diagram (Figure 1.3) gives us decent representation of the forces being acted on the cart, such as friction, gravity, etc. Using the four fundamental forces we can determine the forces being acted upon the cart as it rolls down. The obvious force which is gravity is pushing down on the cart which is causing it to move down the ramp. Strong force was applying force in the opposite direction of gravity which balanced out and caused the cart to stay on the ramp.
Newton's 2nd Law
F = ma F = 599.6 g * 107.74 cm/s2 Force is 646.009 g *cm/s2 |
Variables
F = Force m = Mass a = Acceleration |
Figure 1.3
Energy
There are two main types of energy that have to do with motion and that describe this system the best and that is Potential Energy and Kinetic Energy. Potential energy is decreasing as the cart rolls down meaning it is decreasing in height overall lowering potential energy. However, Kinetic energy is increasing because velocity is increasing as the cart is rolling down. Some energy was lost in the cart in the form of friction which was caused by the surface in which the cart was rolling down. As shown in Figure 1.4. According to law of conservation of energy, no energy is lost most of the Potential energy is converted into Kinetic, heat, and mechanical energy.
There are two main types of energy that have to do with motion and that describe this system the best and that is Potential Energy and Kinetic Energy. Potential energy is decreasing as the cart rolls down meaning it is decreasing in height overall lowering potential energy. However, Kinetic energy is increasing because velocity is increasing as the cart is rolling down. Some energy was lost in the cart in the form of friction which was caused by the surface in which the cart was rolling down. As shown in Figure 1.4. According to law of conservation of energy, no energy is lost most of the Potential energy is converted into Kinetic, heat, and mechanical energy.
Potential Energy
PE = mgh PE = 99.6 g * 9.8 m/s2 * 0.23 mPE is 224.4984 m2g/s2. Kinetic Energy KE = 1/2mv2 KE = 1/2 (599.6 g) (143.07278 cm/s2) KE = 42893.21944 g * cm/s2 |
Variables
PE = Potential Energy m = Mass g = Gravity h = Height |
Figure 1.4
Works Cited:
http://www.dallassd.com/our%20schools/high%20School/Chemsite/p2/format/formatphys.htm
http://www.dallassd.com/our%20schools/high%20School/Chemsite/p2/format/formatphys.htm