(a) A car of mass 000 kg. is subjected to a non-gravitational resistance to motion offfibo + kv' )N, where k is a constant and v ms* is the speed of the car. When the engine of the car is working at a rate of 28 klI" . the maximum speed up a slope of inclination 0 to the horizontal where 20sin0 = 1, is 20ms". (i) Show that k =2. Given that the engine of the car continues to work at the same rate. lind the acceleration of the car when its speed is 10ms": (ii) Up the slope of inclination 0. (iii) On the level ground. (b) A spring is fixed at one end. When it hangs vertically. supporting a mass of 2 kg at the free end, its length is 3 meters. When the 2 kg mass is replaced with a particle of mass M , the length of the spring is now 2.5 meters. Given that the modulus of elasticity of the spring is 10 N. determine the mass M. (Take as g 10mıs)

(a) A car of mass 000 kg. is subjected to a non-gravitational resistance to motion offfibo + kv' )N, where k is a constant and v ms* is the speed of the car. When the engine of the car is working at a rate of 28 klI" . the maximum speed up a slope of inclination 0 to the horizontal where 20sin0 = 1, is 20ms". (i) Show that k =2. Given that the engine of the car continues to work at the same rate. lind the acceleration of the car when its speed is 10ms": (ii) Up the slope of inclination 0. (iii) On the level ground. (b) A spring is fixed at one end. When it hangs vertically. supporting a mass of 2 kg at the free end, its length is 3 meters. When the 2 kg mass is replaced with a particle of mass M , the length of the spring is now 2.5 meters. Given that the modulus of elasticity of the spring is 10 N. determine the mass M. (Take as g 10mıs)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Answer Q7

7.
A car of mass 000 kg, is subjected to a non-gravitational resistanee to motion offi00+ kv' )N, where k
is a constant and v ms is the speed of the car. When the engine of the car is working at a rate of 28 kI" , the
maximun speed up a slope of inclination 0 to the horizontal where 20sin0 = 1, is 20ms".
(i)
(a)
Show that k = 2.
Given that the engine of the car continues to work at the same rate. lind the acceleration of the car when
its speed is 10ms":
Up the slope of inclination 0.
(iii) On the level ground.
(ii)
(b) A spring is fixed at one end. When it hangs vertically. supporting a mass of 2 kg at the tree end, its length is 3
meters. When the 2 kg mass is replaced with a particle of mass M, the length of the spring is now 2.5 meters.
Given that the modulus of elasticity of the spring is 10 N. determine the mass /. (Take as g 1Oms)

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