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A crate weighing 490 N is pushed along a surface. If it takes 126 N to get the crate starts to move (a = 0), what is its static friction and coefficient of static friction μs? Solve the unknown and confirm your answer of static friction using the Phet Simulation software. (Use the part of with Acceleration in Phet Simulation)




Suppose the supply of lemonade is given by Q= 40p were q is measured in pints and p is measured in cents per pint and the demand for lemonade is given by Q=5000-10p. Now suppose bumper weather conditions improve the harvest of lemons so producers increase the quantity supplied of lemonade by 200 pints at every price. What are the equilibrium P and Q for a lemonade after the bumper weather conditions


  1. How many grams of Lactic acid (C6H10O5) should be dissolved in 650g of cyclohexane (C6H12) to raise the boiling point to 84.910C? The normal boiling point of cyclohexane is 810C and its molal boiling point is 2.75 0C/m.




Opportunity cost is about making choices and how you adequately and effectively manage it.what do you understand by the concepts of intra and inter temporal choice models in managerial economics, further as a fresh graduate of Msc in managerial economics, clearly demonstrate how intra and inter temporal choice models make society incur an opportunity cost if not managed adequately and effectively?

Patric borrows money from Zanele at a simple discount rate of 9,75% per annum. He must pay him R35 000 in 27 months' time. The amount of money that he receives from Zanele now is


Given an array A of N integers and two integers X and Y, find the number of integers in the array that are both less than or equal to X and divisible by Y.

In an air compressor the compression takes place at constant internal energy and 50kJ of heat is rejected to the cooling water for every kilogram of air . Calculate the work input for the compression stroke per kilogram of air.

As a finance manager of Kersot Enterprise Limited, where the Board of Trustees is reviewing the mix of the capital structure of the enterprise based on target value and has decided to raise 40 percent of new funds from long-term debt, 10 percent from preferred shares, and 50 percent from ordinary shares with components of 5.6, 10.5 and 15.7 respectively.

Estimate percentage of this BEST MIX for the enterprise and support the decision taken.           


A teacher has taken exam of his students. He has stored marks in a dictionary where keys are the student's name and values are student's marks. Now he wants to know the name of students obtained minimum and maximum marks from this dictionary. You need to write a python function Find-min-max(A) which takes dictionary as input and returns the name of student pair having minimum and maximum marks in the class. If input dictionary is empty return "Invalid Input".

A piece of aluminum with a mass of 30 grams was heated in a steam jacket to 98 oC and then plunged into 120 grams of water at 9 oC, causing the temperature to rise to 13.5 oC. What is the specific heat of aluminum


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