Page 3 - ECAT Past Paper 2006

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5=√ + −
:.Squaring both sides:
25= 25-24cos
cos =0
=π/2 (Answer)
Q.3 A body starting from origin first of all moves 10m towards North then 15m towards east
and finally moves 20m vertically upwards. What is the total displacement?
A) 30m (Correct) B) 26.92m
C) 18.02m D) 25m
Explanation:

Q.4 The acceleration produced varies directly with:
A) Mass B) Torque
C) Applied Force (Correct) D) Friction
Explanation:
nd
According to Newton’s 2 Law of motion:
F=ma

:. A∝

:. A∝
Q.5 When the velocity of a body is doubled then:
A) its K.E is doubled B) its P.E is doubled
C) its momentum is doubled (Correct) D) its acceleration is doubled
Explanation:
As we know that:
p=mv  as v’=2v so p’= m(2v) p’=2p (Answer)
Q.6 1 kg mass has K.E of 1 J then its speed is:
A) 1m/s B) 4.4 m/s
C) 1.4 m/s (Correct) D) 2.5 m/s
Explanation:
As we know that:
2
K.E= ½ mv
2
1= ½ (1) v
2
2=v v=1.41 m/s (Answer)
Q.7 If θ=180* then Work done=?
A) 0 B) Maximum
C) Negative (Correct) D) -1
Explanation:
As we know that:
Work done=Fdcosθ