1

The diagram above illustrates three forces T_{1}, T_{2} and 100N in equilibrium. Determine the magnitude of T_{1}

A

100 tan 30^{o}

B

\(\frac{100}{\cos 30^o}\)

C

200 sin 30^{1}

D

\(\frac{200}{tan 30^o}\)

CORRECT OPTION:
a

2

An iron rod is moved from the earth to the moon. Which of the following properties of the rod would remain unchanged? i. mass ii. weight iii. relative density

A

i only

B

ii only

C

iii only

D

i and iii only

CORRECT OPTION:
d

3

A uniform cylindrical hydrometer of mass 20g and cross sectional area 0.54cm^{2} floats upright in a liquid. If 25cm of its length is submerged, calculate the relative density of the liquid. (Density of water = 1 gcm^{-3})

A

1.54

B

1.48

C

1.25

D

0.80

CORRECT OPTION:
b

4

The apparent weight of a body wholly immersed in water is 32N and its weight in air is 96N. Calculate the volume of the body. (Density of water = 1000kgm^{-3}, g = 10ms^{-3})

A

8.9 x 10m^{-3}m^{3}

B

6.4 x 10m^{-3}m^{3}

C

3.2 x 10m^{-3}m^{3}

D

3.0 x 10m^{-3}m^{3}

CORRECT OPTION:
b

5

A wooden block of mass 1.6kg rest on a rough horizontal surface, if the limiting friction force between the block and the surface is 8N. Calculate the coefficient of friction. (g = 10ms^{-2})

A

0.6

B

0.5

C

0.3

D

0.2

CORRECT OPTION:
b

6

A ball bearing is gently released from rest and allowed to fall through a viscous fluid. Which of the following statements about the motion is correct?

A

its acceleration decreases before terminal velocity is attained

B

when terminal velocity is attained the acceleration of the fluid becomes zero

C

its velocity increases before terminal velocity is attained

D

there is no resultant force on the ball before it attains terminal velocity

CORRECT OPTION:
b

7

The driver of a car moving with uniform speed of 40ms^{-1} observes a truck approaching from the opposite direction with a speed of 20ms^{-1}. Calculate the speed of the car relative to that of the truck

A

.5ms^{-1}

B

2.0ms^{-1}

C

20.0ms^{-1}

D

60.0ms^{-1}

CORRECT OPTION:
d

8

A bus travelling at 15ms^{-1} accelerates uniformly at 4ms^{-2}, what is the distance covered in 10s?

A

150m

B

170m

C

350m

D

600m

CORRECT OPTION:
c

9

A uniform metre rule of mass 90g is provided at the 40cm mark. If the rule is in equilibrium with an unknown mass m placed at the 10cm mark and a 72g mass at the 70cm mark, determine m

A

72g

B

102g

C

298g

D

504g

CORRECT OPTION:
b

10

The resultant of two forces acting on an object is maximum when the angle between them is

A

180^{o}

B

90^{o}

C

45^{o}

D

0^{o}

CORRECT OPTION:
b

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