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 instrument used for experimental determination of the value of the universal gravitational constant G is called
Galilio’s telescope
ballistic pendulum
Newton’s balance
Cavendish balance
3 At what altitude above the earth's surface would the acceleration due to gravity be
49ms−2
? Assume the mean radius of the earth is
64×106
metres and the acceleration due to gravity
98ms−2
on the surface of the earth
26×106m
323×106m
465×106m
776×106m
4 A man weighs 750 N on the surface of the earth. What would be his weight when standing on the moon? The masses of the earth and the moon are respectively,
598×1024
kg and
736×1022
kg. Their radii are respectively
637×103
km and
174×103
km
200.5 N
123.7 N
550.4 N
1000.0 N
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 Given that the mass and radius of Jupiter are respectively
190×1027
kg and
715×104
km, calculate the escape velocity from the surface of the planet
11.2 km/s
33.3 km/s
59.5 km/s
110.4 km/s
8 A ball of mass 50 g tied to the end of a 50 cm inextensible string is whirled around in a vertical circle. Find the tension in the string when the ball is at the top of the circle. Take
g=10ms2
70.7 N
20.4 N
39.5 N
96.3 N
9 An upward force of
12×104
N acts on an elevator of mass
20×103
kg. Calculate the acceleration of the elevator. Take
g=98ms−2
38ms2
downward
47ms2
upward
38ms2
upward
47ms2
downward
10 A 40 N force applied at an angle of 37 degrees above the horizontal pulls a 5-kg box on a horizontal floor. The acceleration of the box is
3ms2
. How large a fritional force must be retarding the motion of the box?
50 N
13 N
17 N
25 N
11 A block of mass 2 kg is connected to a freely hanging block of mass 4 kg by a light and inextensible string which passes over pulley at the edge of a table. The 2 kg mass is on the surface of the table assumed to be smooth. Calculate the acceleration of the system and the tension in the string
67ms2
and 13.3 N
33ms2
and 34.4 N
054ms2
and 40.6 N
25ms2
and 32.2 N
12 A 20 kg block on an inclined plane is pulled up the plane with a rope tied to the block. The rope is at angle of 37 degrees above the surface of the plane. The tension in the rope is 250 N and the frictional force on the block is 8.0 N.What is the acceleration of the block?
37ms2
42ms2
21ms2
76ms2
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.
255ms2
079ms2
477ms2
311ms2
14 A 2 kg and a 4 kg hang freely at opposite ends of a light inextensible string which passes over a small , light pulley fixed onto a rigid support. Calculate the acceleration of the system.
33ms2
267ms2
441ms2
267ms2
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 Which of the following properties of a ball is conserved as it falls freely in a vacuum?
kinetic energy
gravitational potential energy
monentum
mechanical energy
18 How much work is done when a bucket of mass 1.5 kg with 10 kg of water in it is pulled up from the bottom of a well 8 m deep? Take
g=98ms2
100.3 J
2000.5 J
901.6 J
453.7 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
Why would I take this test for you?
To find the gravitational field strength at a height h above the surface of the Earth (Question 1), you can use the formula g(R−h)R, where g is the acceleration due to gravity on the surface of the Earth and R is the radius of the Earth.
To determine the instrument used for experimental determination of the value of the universal gravitational constant G (Question 2), you need to know that the instrument is called the Cavendish balance.
To calculate the altitude above the Earth's surface where the acceleration due to gravity is 49ms−2 (Question 3), you can use the formula gR2(R+h)2 and solve for h. Given the mean radius of the Earth and the acceleration due to gravity on the surface of the Earth, you can substitute these values into the equation to find the altitude.
To find the weight of a man standing on the moon, given his weight on the surface of the Earth (Question 4), you need to know the masses of the Earth and the Moon, as well as their radii. Using the equations for gravitational force and weight, you can determine the weight of the man on the Moon.
To calculate the speed and period of a satellite orbiting the Earth at a certain height (Question 5), you need to use the formula for orbital speed and period, which involves the mass of the Earth, the gravitational constant G, and the radius of the satellite's orbit.
To find the orbital radius and speed of a synchronous satellite that orbits the Earth once every 24 hours (Question 6), you can use the formula for orbital radius and speed, which involves the mass of the Earth, the gravitational constant G, and the period of the satellite's orbit.
To calculate the escape velocity from the surface of Jupiter (Question 7), you need to know the mass and radius of Jupiter. Using the formula for escape velocity, you can determine the required velocity to escape the gravitational pull of Jupiter.
To determine the tension in a string when a ball is at the top of a vertical circle (Question 8), you need to consider the forces acting on the ball, including gravity and tension. By analyzing the forces, you can determine the tension in the string.
To calculate the acceleration of an elevator given an upward force and its mass (Question 9), you need to consider the forces acting on the elevator, including gravity and the upward force. Using Newton's second law of motion, you can determine the acceleration of the elevator.
To find the frictional force retarding the motion of a box given a force applied at an angle and the box's acceleration (Question 10), you can use the equation for net force and the components of force. By analyzing the forces, you can determine the frictional force.
To calculate the acceleration of a system and the tension in a string given masses connected by a string and hanging freely (Question 11), you need to consider the forces acting on the masses and use Newton's second law of motion. By analyzing the forces, you can determine the acceleration and tension.
To find the acceleration of a block on an inclined plane given tension in a rope and frictional force (Question 12), you need to consider the forces acting on the block and use Newton's second law of motion. By analyzing the forces, you can determine the acceleration.
To determine the acceleration of two connected blocks on an inclined plane given frictional force and coefficient of kinetic friction (Question 13), you need to consider the forces acting on the blocks and use Newton's second law of motion. By analyzing the forces, you can determine the acceleration.
To calculate the acceleration of a system with hanging masses connected by a string (Question 14), you need to consider the forces acting on the masses and use Newton's second law of motion. By analyzing the forces, you can determine the acceleration.
To identify which quantity has the same dimensions as work (Question 15), you need to understand the dimensions of work, which is force multiplied by displacement. By comparing the dimensions of different quantities, you can determine which one has the same dimensions as work.
To identify which statement is not true (Question 16), you need to understand the concepts of work and different scenarios involving work. By analyzing each statement, you can determine which one does not align with the definition or principles of work.
To determine which property or quantity is conserved for a ball falling freely in a vacuum (Question 17), you need to understand the principles of conservation of energy and momentum. By analyzing the properties or quantities, you can determine which one remains constant during free fall.
To calculate the work done when pulling a bucket of mass and water up from a well (Question 18), you need to consider the gravitational potential energy and use the formula for work done against gravity. By substituting the given values into the formula, you can determine the work done.
To calculate the average kinetic energy of a sprinter given their mass and racing time (Question 19), you need to use the formula for kinetic energy and substitute the given values into the equation. By calculating the result, you can determine the average kinetic energy.
To identify which unit is not a unit of energy (Question 20), you need to understand the units commonly used for energy measurement. By analyzing the options, you can determine which one is not a recognized unit of energy.