1 What is the gravitational field strength at a height h above the surface of the Earth? R is the radius of the earth
gR2(R+h)2
gR(R+h)
g(R−h)R
g(R−h)2R2
2 The figure attache illustrates the variation of the gravitational acceleration g’ with distance r from the centre of the Earth. The density of the Earth is assumed to be uniform.
a
is the
Click here to see exhibit
gravitational acceleration at the surface of the earth
gravitational acceleration below the surface of the earth
radius of a point above the surface of the earth
radius of the earth
3 In the figure shown, b represents
Click here to see exhibit
the value of g at a point above the surface of the earth
the surface of the earth
a point inside (below the surface of the) earth
the value of g at a point below the surface of the earth
4 Which of the following laws best explains the need to always fasten sit belts in fast moving vehicles?
The law of conservation of linear momentum
Newton's first law of motion
The law of conservation of energy
Kepler's second law
5 A 2000 kg satellite orbits the earth at a height of 300 km. What is the speed of the satellite and its period? Take
G=667×10−11Nm2kg2
, Mass of the earth is
598×1024
kg
7.73 km/s and
54×103
s
855.4km/s and
77×104
s
497.2km/s and
55×105
s
322.3km/s and
43×104
s
6 What is the orbital radius and speed of a synchronous satellite which orbits the earth once every 24h? Take
G=667×10−11Nm2kg2
, Mass of the earth is
598×1024
kg
42×107m
and
3100ms
56×106m
and
4300ms
43×108m
and
5000ms
34×107m
and
6000ms
7 The radius vector from the sun to a planet sweeps out equal areas in equal intervals of time. This a statement of
Newton's law
Kepler's law
Einstein's law
Galileo's law
8 The figure attached shows a ball of mass
m
whirled at constant speed v in a vertical circle with centre C and radius r. Which of the following correctly represents the tension in the cord when the ball is at point A (the top of the circle)?
Click here to see exhibit
m(v2r+g)
m(rv2−g)
m(v2r−g)
m(rv2+g)
9 The figure attached shows a ball of mass
m
whirled at constant speed v in a vertical circle with centre C and radius r. Which of the following correctly represents the tension in the cord when the ball is at point B(the bottom of the circle)?
Click here to see exhibit
m(v2r+g)
mvr
m(v2r−g)
m(rv2−g)
10 A force F applied at an angle
θ
degrees above the horizontal pulls a box of mass m kg on a horizontal floor as shown in the diagram attached. The acceleration of the box is
a
m/s2
. If the coefficient of friction between the box and the floor is
μ
and R is the normal reaction due to the weight of the box,which of the following correctly represents the acceleration of the box? Take the acceleration due to gravity as
g
Click here to see exhibit
Fcosθ+μmgm
Fsinθ−μmR
Fcosθ−μmgm
Fsinθ+μmR
11 Two blocks of masses
m1
and
m2
are connected by a light inextensible string which passes over a pulley assumed to be massless and frictionless as shown in the diagram attached. The coefficient of friction between the table and block on it is
μ
. What is the acceleration of the system when released? g is the acceleration due to gravity
Click here to see exhibit
(m2−μm1)gm1+m2
(m2+μm1)gm1−m2
m2+μm1gm1−m2
m2−μm1gm1+m2
12 Two blocks of masses
m1
and
m2
are connected by a light inextensible string which passes over a pulley assumed to be massless and frictionless as shown in the diagram attached.The surface of the table on which
m1
rests is assumed to be very smooth (frictionless) Find the tension in the cord. Again, g is the acceleration due to gravity.
Click here to see exhibit
m1m2gm1+m2
m1m1−m2
m2m1+m2
m1m2gm1−m2
13 A 15 kg block rests on the surface of a plane inclined at an of 30 degrees to the horizontal. A light inextensible string passing over a small, smooth pulley at the top of the plane connects the block to another 13 kg block hanging freely. The coefficient of kinetic friction between the 15 kg block and the plane is 0.25. Find the acceleration of the blocks.
2.55m/s2
0.79m/s2
4.77m/s2
3.11m/s2
14 Which of the following is correct?
A collision is perfectly elastic if momentum and kinetic energy the system is conserved
A collision is perfectly elastic if the bodies are coalesced and move with a common velocity after collision
A collision is perfectly elastic if the bodies are coalesced and move with a common velocity after collision and momentum of the system is conserved
A collision is perfectly elastic if momentum and kinetic energy the system is conserved provided the bodies coalesce and move with a common velocity
15 Which of the following quantities has the same dimensions as work?
momentum
impulse
moment of a force
pressure
16 Which of the following is not true?
A crate sliding across the floor does work against frictional forces
Work is done if a component a force acting on an object exists in the direction of its displacement
A man with a bag of cement on his head does work to move the bag of cement as he walks from place to place on a flat horizontal floor
Work is a scalar quantity
17 A body A of mass 60 kg moving with a speed of 25 m/s makes a head on collision with another body B of mass 6 kg moving in the same direction with a speed of 20 m/s. Find the final speed of B
12 m/s
15 m/s
24 m/s
29 m/s
18 The bag on the woman's head shown in the picture attached weighs 15 kg and distance she walks from A to B on a flat, horizontal ground is 30 m. How much work has she done?
Click here to see exhibit
147 J
450 J
4410 J
0 J
19 A 65 kg sprinter completes a 100 m race in 9.83 s. Calculate the average kinetic energy of the sprinter
3.36 kJ
2.11 kJ
34.15 kJ
65.42 kJ
20 Which of the following is NOT a unit of energy?
joule
newton-metre
kilowatt-hour
watt?
In Physical Science
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Asked by oyeniyi.ajiboye@gmail.com on 16th September, 2014
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