Two solid spheres are running down from incline of height 3.7 m. Sphere A has mass 3.3 kg; radius 15.7 cm; sphere B has mass 7.4 kg and radius of 39.3 cm. Find the ratio of their angular velocities omegaA/omegaB at the bottom of the incline.

1. (Experiment)

Measure all the dimension of the four objects and fill out the table below. As the ‘proof’ that you did the experiments, take a screenshot of your PC screen for at least one dimension of each and insert (copy and paste) the screenshots to the end of this data sheet. (For Window’s users, ‘snipping tool’ is convenient to take a screenshot. You can search the tool by searching ‘snipping tool’ on Windows Search. For Mac users, press ‘Command’ + ‘Shift’ + ‘3’ to capture a screenshot). Also, calculate the volume of each object using the following formulas. The volume of the sphere of dimeter reads

Eq. 1

the volume of the block of length , breadth as and thickness

Eq. 2

the volume of the cylinder of dimeter and height

, Eq. 3

and the volume of the beaker of internal diameter and the internal height (depth)

Eq.4

Please Type Answer

A person who has their feet spread apart, when pushed against by another person is able to stay stable. A person who has their feet together, when pushed against by another person is not stable at all. What is the reason for this? Take into consideration the mechanical principles in relation to torque, levers, area of supporting base, and position of your center of gravity.

A sailboat runs before the wind with a constant speed of 3.5 m/s in a direction 28 ∘ north of west. You may want to review (Pages 89 - 92) .

How far west has the sailboat traveled in 22 min?

How far north has the sailboat traveled in 22 min?

The Bipolar Junction Transistor (BTJ) characteristic Curve experiment source of error

A child on a sled starts from rest at the top of a 20.0° slope.

1)

Assuming that there are no forces resisting the sled’s motion, how long will the child take to reach the bottom of the slope, 250 m from the top? (Express your answer to two significant figures.)

the nuclear shell model, orbitals are filled in the order 1s1/2,1p3/2,1p1/2,1d5/2,2s1/2,1d3/2, etc.
(a) What is responsible for the splitting between the p3/2 and p1/2 orbitals?
(b) In the model, 16O (Z = 8) is a good closed-shell nucleus and has spin and parity Jπ = 0+ . What are the predicted Jπ values for 15O and 17O?
(c) For odd-odd nuclei a range of Jπ values is allowed. What are the allowed values for 18F (Z = 9)?
(d) For even-even nuclei (e.g. for 18O) Jπ is always 0+ . How is this observation explained?

Using Faraday’s Law and Lenz’s Law, explain why a change of current in a conducting wire loop will induce an electrical potential difference which will oppose this change. Use relevant equations and/or diagram(s).

You are about to shoot a shell with an artillery. You must decide which targets you can hit. Your muzzle velocity is 980 m/s and your shell is aerodynamic enough to ignore the drag.

1. What is the maximum range if you are attempting to hit a target at the same elevation as you?
2. What is the maximum range if you are attempting to hit a target that is 50 m below in elevation as you?
3. What was the flight time for part b?
4. Suppose your shell was to explode at the peak of its trajectory and break into two pieces. The first 1 kg is thrown with a speed of 400 m/s at an angle of 225 degrees from the forward direction (45 degrees into the third quadrant). What is the direction and the speed of the second piece if it has mass of 2 kg?

3. Electric power is transferred at very high voltages over long distances. Transmission of high voltage
Explain how it reduces power loss on the lines.
4. If two points have the same potential, this test load will be taken from one point to another.
Does it mean that no work will be carried out during the course? This need no force application
shows that it is not? Discuss.

How does the “World’s Simplest Motor” work? Describe the torque due to the magnetic field on the wire loop as it turns. Explain why it is necessary to ensure only one side of the wire is scraped of enamel to make electrical contact. 

A simple pendulum has a mass of 0.550 kg and a length of 2.00 m. It is displaced through an angle of 11.0

Revised experiment setup ty I-v A student wants to find out how much energy is lost by the string rubbing at the edge of the table when the system moves by 30cm. They come up with two methods to make this measurement: Method 1: Calculate work done on the string by the table, Wedge=(T1−T2)xWedge=(T1−T2)x Where T1 and T2 are the magnitude of the force measured by the top and hanging IOLabs, respectively. x is the distance traveled by the IOLabs, measured using the wheel of the top IOLab. Method 2: Conservation of energy, Wedge=12(m1+m2)v2f−m2gxWedge=12(m1+m2)vf2−m2gx Where m1 and m2 are the top and hanging masses, respectively, and vf is measured using the wheel of the top IOLab. x is the distance traveled by the IOLabs, measured using the wheel of the top IOLab. The student does four trials of their experiment and makes the following measurements: Trial T1 (Newtons) T2 (Newtons) vf (m/s) 1 1.059 1.571 1.698 2 1.088 1.707 1.718 3 1.082 1.695 1.678 4 1.047 1.827 1.698 Additionally, the student determines the displacement (x) was 30cm, m1 is 202g and m2 is 351g. 1) Using method 1, what is the average measurement of the work done by the edge of the table on the string? (This value is NOT a magnitude). Joules 2) What is the size of the uncertainty on the average measurement from Method 1? You should do your calculation using the method described in the class handout on uncertainty. Joules 3) Using method 2, what is the average measurement of the work done by the edge of the table on the string? (This value is NOT a magnitude). Joules 4) What is the size of the uncertainty on the average measurement from Method 2? Joules 5) Compare the results from the two methods. What should you conclude about them? a) The results from the two methods disagree with each other b) The results from the two methods do not disagree with each other c) It is impossible to make a decision about these results 6) Explain how you decided if the two measurements agree or not. If they do not agree, identify a relevant assumption from the experiment that could cause the disagreement.

(a) Compute the maximum longitudinal force that may be supported by a bone before breaking, given that the compressive stress at which bone breaks is 2.00  10⁸ N/m². Treat the bone as a solid cylinder of radius 1.48 cm.

(b) Young's modulus for bone is 2.00  10¹⁰ N/m². Estimate the strain in the bone just before breaking.
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