2) When ice fishing, you need to use an auger to drill a hole in the ice.

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2) When ice fishing, you need to use an auger to drill a hole in the ice. Many people do not enjoying augering, so you go on a mission to design a new system that melts a hole in the ice using an electric heater that is activated by your truck battery. The heater is attached to a 0.25 m diameter plate on one side and insulation on the other. You can assume that the heater is thin, and that there is no temperature gradient across it. Also assume that no heat is being lost through the edges of your system. An image of the design with all relevant dimensions and material properties is below:

The surface of the insulation experiences convection with the surrounding air at ????∞=5℃ and ℎ=50 ????/????2????. The new ice auger is placed on the ice, causing heat transfer to the plate-ice interface. Assume that the water under the ice is at ????????????????=0℃ so that no heat is conducted away from the plate-ice interface (all of the energy transferred to the plate-ice interface goes into melting the ice). You know the ice has density of ????????????????=920 ????????????3⁄ and the latent heat of fusion for ice is Δ????????????????=333.6 ????????????????⁄.

a. Determine the heat transfer rate to the plate-ice interface.

b. How long will it take to melt a hole in the ice?

c. What is the efficiency of the melting process?

1 a) A uniform electric field of 2.0 x 10 2 N/C is applied between the anode and the cathode.

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1 a) A uniform electric field of 2.0 x 102 N/C is applied between the anode and the cathode. If an electron is injected in the region of a uniform field along the x-axis, what is the velocity of the electron when it reaches the anode assuming a separation between the anode and cathode of 4 cm, and initial kinetic energy is negligible.

b) If the electron was injected in the region along the y-axis with the initial velocity vo= 3 x 106 m/s, and the length of the plate l= 0.1m. (a) Find the acceleration of the electron in the electric field. (b) Find the time it takes the electron to travel through the region of the electric field. (c) What is the displacement x of the electron while in the electric field? Will it strike the plate? Why/why not?

Answer each of the following questions in your own words; show all work, and express numeric values to the appropriate level of signicance. 1. Using

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If someone can please be kind enough to show all the work and include the correct answer when I did these I got the wrong answers for all of them and I’m trying to find which step I messed up on or where I went wrong and compare it to the answers I got. Thank you in advance.

So many critical developments shaping politics, the economy, and society during the latter part of the nineteenth century were the products of…

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So many critical developments shaping politics, the economy, and society during the latter part of the nineteenth century were the products of unintended consequences. Identify two or three examples of unintended consequences and why they are important to understanding the history of this period.

In the block-spring arrangement of Fig. 4, the block’s mass is 4 kg and the spring constant is 500 Nm. The block is released from position xi=0.

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4. In the block-spring arrangement of Fig. 4, the block’s mass

is 4 kg and the spring constant is 500 Nm. The block is

released from position xi=0.300m. What are (a) the block’s

speed at x=0, (b) the work done by the spring when the block

reaches  x=0 , (c) the instantaneous power due to the spring at the

release point xi, (d) the instantaneous power at x=0, and (e) the

block’s position when the power is maximum?

MODULE 6 UNIT 2 Assignment Part B 1. Sulphur (IV) oxide reacts with oxygen to form sulphur (VI) oxide. a) Explain why we can’t assume that the…

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1. Sulphur (IV) oxide reacts with oxygen to form sulphur (VI) oxide. a) Explain why we can’t assume that the pressure and the temperature of both gases will remain the same during the entire reaction. 2 marksb) Calculate the volume of oxygen required to react completely with 75 L of sulphur (IV) oxide. 3 marksc)Calculate the volume of sulphur (VI) oxide produced. 3marks2. If 250 L of gaseous nitrogen are mixed with 300 L of gaseous hydrogen during a reaction to form gaseous ammonia, a)assuming the reaction is complete, which gas will remain after the reaction, and in which quantity? (See the exercises on balanced equations.) 3 marksb)what volume of gaseous ammonia will be produced? 3 marks3 marksHint: Find which reactant is in excess.2H2O

1. During the Age of Exploration, why was the discovery of wind patterns so important to the 15 th century Portuguese?

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1.     During the Age of Exploration, why was the discovery of wind patterns so important to the 15th century Portuguese?

2.     How were the Trade Winds used for exploration and trade in the Atlantic Ocean?