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5kg weight who mation is constrained by vertical guides is dropped from reit 0.5 m onto a vertically aligned spring whose stiffness is 10 Nm How fast is the weight travelling when the spring has been compressed by 50 mm
A cube of mass 10 kg is at rest on a horizontal surface when it is subjected to a horizontal force P that varies with time t as P = 20t. If the static and kinetic coefficients of friction are both 0.4, calculate the velocity of the cube after 5 s.
A force of P N acting on a body of 5 kg travelling with a velocity of 5 ms increases its velocity to 10 ms. If the force acts in the direction of motion for a period of 5 s, what is the value of P?
A 500 Mg fug is Towing a 1000 Mg barge at a steady speed of 3 ms when the towline, which is horizontal, is winched in at a rate of 0.5 ms. What is the tug's speed during this operation!
A railway truck of 100 kg mass travelling with a velocity of 7 ms collides with a second truck of 200 kg mass and the two couple automatically and move off together. Calculate the velocity of the coupled trucks, and the energy lost to the system, if the second truck has a speed of 5 ms (al in the same direction, (b) in the opposite direction and ic) is initially stationary
A car preceding down a 1 in 10 incline at 6.5kph when it's brake are abruptly applied. How far does it skid along the road before stopping If the wheels lock and the coefficient of friction between tyres and the road is 0.7?
A 60g bullect is fired at a target that presents an average resistive force to the passage of the bullet of 20KN per metre thickness of the material from which it is constructed. If the bullet strikes the target at 600m/s, what does the minimum thickness of target have to be to stop the passage of bullet completely.
A company study of product preferences of 10,000 consumers is as follows: products A. B and C were liked by 5015, 3464 and 4827 consumers, respectively. All the three products were liked by 500 consumers. Products A and B were liked by 1000 consumers. Products A and C were liked by 850 consumers. Products B and C were liked by 1420 consumers.
1) Prove that the study results are incorrect.
2)It was found that an error occurred in recording the number of consumers liking the products A and C. What is the value of this number?
Find the number of ways in which the word "BREAD' can be arranged when
i) B and D take end places
ii) E is placed in middle
iii) vowels E and A always come together
iv) vowels E and A never come together
2.1 Consider the production function: Y=2X + 16X2- 0.4X3 a) Derive marginal value product (VMP) and average value product (AVP) equations. [04] b) At what levels of X do the TPP reach its maximum? [03] c) At what level of X does stage two (II) begin or stage one (I) end? [04] d) Find and interpret elasticity of production (EP) when X = 1. [02] 2.2 Market structures are referred as the competitive environment in which the buyers and sellers of the product operate. A market consists of all the actual and potential buyers and sellers of a particular product. Discuss thoroughly oligopolistic and perfect competitive market structure and give examples of each form of the market structure. [08] 2.3 Differentiate between product market and labour market (Use diagrams that explain the interactions in the markets). [04
