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The James Webb Space Telescope is positioned around 1.5 million kilometres from the Earth on


the side facing away from the Sun. The telescope remains at this distance and orbits around the


Sun with the Earth’s orbital velocity.


(a) Why is it important to position the JWST behind the Earth?


(b) Determine the angular velocity ω of the telescope as it orbits around the Sun.


The centrifugalFω and gravitational forceFG are acting on objects orbiting the Sun: F = Fω−FG


(c) Based on this, how much should the telescope accelerate towards or away from the Sun?


(d) Why is the orbit of the telescope stable nonetheless? What otherforces need to be considered?

41-50 An ideal reheat turbine with one stage of reheat receives steam at 9.0 MPa and 530°C. Reheat pressure is 0.83 MPa and exhaust pressure is 0.007 MPa. The work is 1559 kJ/kg and the thermal efficiency is 41.05%. Find the temperature of steam leaving the reheater.

1. The bent beam ABC is attached to a pin C and rests against a roller support at B. Neglecting the weight of the beam, find the magnitude of the reactions at B and C caused by the 150- kg load.



The ram of a hydraulic press can exert a force of 12 KN if a force of 500 N is applied on the piston. If the diameter of the piston is 90 mm, calculate the diameter of the ram


a cube with edge length of 10cm is inscribed in a sphere, what is the surface area of the sphere




In order to meet a certain octane number specification, it is necessary to produce gasoline containing 80%w isooctane and 20%w n-heptane. How many liters of a high-octane gasoline containing 90%w isooctane and 10%w n-heptane must be blended with a straight-run gasoline containing 65%w isooctane and 35%w n-heptane to obtain 16625liters of desired gasoline? The specific gravity of each of the liquids is 0.84


You are expected to produce 4000 cases of noodles within your 12hrs shift and you realize that the machine in the production area is malfunctioning. Due to this, you were only able to produce 35 % of the normal production.

 

(a) How will you approach this situation as a supervisor in a noodle manufacturing company?                                                                                                   

 (b) About 20 packets of noodles are packed in one case (box). If one case is sold for R80, how much production in rands have you achieved during your shift?          


what is the significance and use of specific gravity and absorption

prove that the maximum deflection in a simply supported beam with uniformly distributed load is Yc=5wl3/384EI


The bent beam ABC is attached to pin C and rests against a roller support at B. Neglecting the weight of the beam, find the magnitude of the reaction B and C


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