How do I find an unknown weight ?

[mushhhy]

Here is the problem that was set up as a lab experiment.
We ran a car on a Rail (assumed to be frictionless) and collided it with another (stationary) car. There were three trials and I have gathered thwe average of the the
Next we added three rayovac cells to the car and repeated the same process.

I will provide the work already performed (i do not think it is correct) but here goes.

the weight of the car without batteries is 985.5g = 0.986kg

the impacted car car is posistioned at 100cm on the rail. Xi =100cm = 1m
average Xf = 38 cm = .37m

Ti =0, average Tf =4.25s

We are to find the following:

Here goes The problem states to find the following
1. Acceleration 5. Work
2. mass 6.the weight of three rayovac cells placed on the object
3. Force 7. momentum with and without cells
4. KE 8. Impulse upon collision

This is the work I have completed so far.
1.
a = (Vf - Vi/t), Vi = 0, Vf = d/t = -0.63m/4.25s = -0.15m/s
a = (-0.15m/s)/4.25s =-0.035m/s^2
2.
m = w/g = (0.986kg) / (9.8m/s^2) = 0.1N
3.
F = m x a = (0.1N) (-0.035m/s^2) = -3.5 x 10^-3 (N)(m/s^2)
4.
KE = (1/2)mv^2 = (1/2) (0.1N) (-0.15m/s)^2 = 11.25 x10^-4 J

5.
W = (FcosO)X = (3.5 x 10^-3) (-.62m) = -2.17 x10^-4 J

I do not know how to calculate the weight of the car with the cells.
The process is the same with 3 runs the average time and distance are

Xi = 100cm = 1m, Xf = 51.67cm, = .52m
Ti = 0 Tf = 3.25s

I have no idea how to do the rest of this exercise. I am willing to do the work but I need some direction . Any help at all will be greatly appreciated. I need to know how to do this work for a test in my next class meeting.

THANKS

 

[Nate810]

!!!6. The weight of the three Rayovac cells placed on the object can be calculated using the formula:Weight = Mass x Gravity, where Mass is the mass of the object and gravity is 9.8 m/s2. So, the weight of the three Rayovac cells would be:Weight = 3 x 0.1 x 9.8 = 2.94 N.7. Momentum with Cells = Mass x Velocity = 0.1 x (-0.15) = -0.015 kg m/s.Momentum without Cells = Mass x Velocity = 0.986 x (-0.15) = -0.149 kg m/s.8. The impulse upon collision can be calculated using the equation: Impulse = Change in Momentum. The change in momentum in this case is the difference between the momentum with and without cells. Therefore, the impulse upon collision is:Impulse = -0.134 kg m/s.

 

[thepatientmental]

To find the unknown weight, we need to use the formula F = ma, where F is the force, m is the mass, and a is the acceleration. In this experiment, we know the acceleration from the first part of the problem (a = -0.035m/s^2), and we can also calculate the force (F = -3.5 x 10^-3 (N)(m/s^2)).

Now, we can rearrange the formula to solve for the mass: m = F/a. Plugging in the values we know, we get: m = (-3.5 x 10^-3 (N)(m/s^2)) / (-0.035m/s^2) = 0.1kg. This is the mass of the car without batteries.

To find the weight, we need to multiply the mass by the acceleration due to gravity (g = 9.8m/s^2): w = mg = (0.1kg) (9.8m/s^2) = 0.98N. This is the weight of the car without batteries.

To find the weight of the car with the three Rayovac cells, we can follow the same process. The only difference is that the acceleration will be different, since the car now has more mass due to the added cells. We can calculate the new acceleration by taking the average of the three trials from the second part of the experiment: a = (-0.52m/s)/(3.25s) = -0.16m/s^2.

Now, we can use the same formula as before to find the new weight: w = mg = (m) (-0.16m/s^2) = (-3.5 x 10^-3 N)(-0.16m/s^2) = 0.56N. This is the weight of the car with the three Rayovac cells.

To find the force, momentum, KE, impulse, and work with the added cells, we can use the same formulas as before, but with the new values for mass and acceleration. For example:

Force: F = ma = (0.1kg) (-0.16m/s^2) = -0.016N
Momentum: p = mv = (0.1kg) (-0.52m/s) = -0.052kgm/s
KE: KE = (1