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WorksheetsTutor Physic - Mechanic
Total questions: 76
Worksheet time: 3hrs 32mins
A man walks 8 m to the east followed by another 6 m to the south. What is his eastward displacement?
2 m
6 m
8 m
14 m
A car accelerates at a rate of 5m/s2 from rest for 10s. What is its speed at the end of 10s?
2 m/s
0 m/s
50 m/s
5 m/s
A racing car accelerates uniformly along a straight road. Marker posts are placed at 100 m apart along the road. The car has a speed of 10 m/s when it passes one post, and 20 m/s when it passes the next. What is the acceleration of the car?
1.5 m/s −2
6.0 m/s −2
0.67 m/s −2
2.5 m/s −2
. A metal ball hits a sand bed one second after it is released from rest, and makes an impression 8.0 mm deep in the sand. Air resistance may be taken as negligible. What is the average deceleration of the ball on hitting the sand?
6.0 x 10^2 m/s −2
1.2 x 10^3 m/s −2
6.0 x 10^3 m/s −2
1.2 x 10^4 m/s −2
A car decelerates at a rate of 5 m/s2 from an initial speed of 40 m/s. What is its speed after 6 s?
35 m/s
8 m/s
29 m/s
10 m/s
A car has a hole in the petrol tank and petrol is dripping off the tank at a constant interval. Which of the following statement is true about the diagram shown ?
The car is decelerating
The car is moving at an increasing deceleration
The car is moving at a constant speed
The car is accelerating
A car has a hole in the petrol tank and petrol is dripping off the tank at a constant interval. Given that the car is travelling at a constant speed of 2 m/s and the gap between two drops of petrol along the road is 50 cm, calculate the frequency of the drip of the petrol.
0.25 Hz
8 Hz
25 Hz
4 Hz
For a particle accelerating along a straight line, what is the definition of its velocity?
Velocity is the rate of change of displacement
Velocity is the rate of change of distance
Velocity is displacement divided by time
Velocity is distance divided by time
The figure denotes velocity−time graph. Displacement is equal to:
A body starting from rest moves along a straight line with a constant acceleration. The variation of speed ν with distance s is represented by the graph?
Which of the following best describes the displacement-time graph of an object?
The object stops for 5 seconds before moving backward at a constant speed.
The object stops for 5 seconds before moving forward at a constant speed.
The object travels along a level road for 5 seconds before going down a slope.
The object travels at a constant speed for 5 seconds before slowing down to rest.
Which of the following diagram shows that an object is moving at a constant velocity before slowing down?
A robot shoots a ball vertically upwards at an initial speed of 30 m/s. What is the distance travelled by the ball 5 s after the shoot? (g = 10m/s^2 )
45 m
25 m
65 m
75 m
A runner accelerates constantly at 2m/s^2 for the first 4 seconds in a 100m race. He then maintains the speed to complete the race. Calculate the time he takes to complete the 100m race.
10.0 s
12.5 s
13.5 s
14.5 s
The speed-time graph of a motorcycle is shown below. What was the average speed over the 12 s?
3.17 m/s
0.38 m/s
0.75 m/s
0.58 m/s
Which of the following graph is the displacement-time of a bouncing ball?
The velocity-time graph below shows the motion of an object. Calculate the distance travelled (S) and displacement (x) of the object.
S = 49 m and x = 9 m
S = 16 m and x = 9 m
S = 25 m and x = 7 m
S = 49 m and x = 7 m
The displacement-time graph of a moving object is shown below. Which of the following is the corresponding velocity-time graph ?
The given graph shows the variation with time of the velocity of a moving body. Which graph best represents the corresponding variation of displacement with time?
The average speeds of a car, accelerating uniformly through three gear changes, are as shown. What is the overall average speed of the car?
12 m/s
40 m/s
48 m/s
13.3 m/s
A car is travelling with uniformly increasing speed along a straight road. Which graph best represents the motion of the car?
The minimum time T required for a car to safely overtake a lorry is illustrated in the given diagram. It is measured from the time the front of the car is level with the rear of the lorry, until the rear of the passing car is a full car-length ahead of the front of the lorry. The lorry may be taken to be 17.0 m long and the car 3.5 m long. The given graph shows how the speeds v of of the car and the lorry vary with time t. what is the value of T?
0.86 s
1.2 s
3.0 s
2.6 s
A speed-time graph of an object is shown below. Which of the following best describe the graph?
The object drops through air
The object drops through vacuum
The object is being thrown downwards through vacuum
The object is being thrown downwards through air
A speed-time graph of an object is shown below. Which of the following best describe the graph?
The object is being thrown downwards through air
The object drops through vacuum
The object drops through air
The object is being thrown downwards through vacuum
A stone is released from rest at the top of a 40 m high tower. Air resistance may be taken as negligible. What is the time taken for the stone to fall the last 10 m to the ground? (Take g as 10 m/s^−2 .)
0.38 s
1.4 s
2.5 s
2.8 s
A ball is thrown vertically upwards, rises to a maximum height, where it is momentarily at rest, and falls back to the hands of the thrower, The upward direction is to be taken as positive. Air resistance may be considered negligible. What is the acceleration of the ball at the various stages of its motion?
a
b
c
d
A steel ball is released from rest above a horizontal surface and bounces several times. Which graph best represents the variation of the ball’s acceleration a with time t?
A small steel ball is released from rest and falls freely under gravity. If air resistance is negligible, which graph best represents the variation with time t of its height h above the ground?
A steel ball is released from rest so that it falls to the floor and bounces back. Which graph best represents the variation with time t of its velocity v, taking upwards as positive?
The acceleration of free fall of a body from rest is to be measured in an experiment. What are the measurements needed?
the height of fall and the time of fall
he height of fall and the weight of the body
the mass of the body and the height of fall
the mass of the body and the time of fall
. For a body falling from rest through air of uniform density, which of the following graphs shows how its acceleration a varies with time t?
A body falls from rest through the air. Which graph best illustrates the variation of the distance d fallen with time t?
A body is projected with an initial velocity u at an angle θ to the horizontal. At time t after projection, its height and horizontal distance from the point of projection O are denoted by y and x respectively. If air resistance may be taken as negligible, which pair of expressions give the values of y and x?
Two projectiles are launched from ground level with the same initial speed. The maximum height h1 reached by projectile 1 is twice the maximum height h2 reached by projectile 2. If θ1 and θ2 denote the respective launch angles, as measured from the horizontal, these angles satisfy which of the following relationships?
A ball, projected from P, follows a parabolic path and the highest point reached is T. Air resistance may be assumed to be negligible. Which statement is applicable to the vertical component of acceleration of the ball?
It is zero at T
It is greatest at T
It is the same at P as at T
It is greatest at P
The given diagram illustrates a projectile launched at point O following the path OPQRS. Air resistance may be neglected. When the projectiles is at the highest point Q of its path, which of the following statements is true?
The horizontal component of the projectile’s acceleration is zero
The horizontal component of the projectile’s velocity is zero
The kinetic energy of the projectile is zero
The momentum of projectile is zero
Which of the following is NOT one of the Newton’s laws of motion?
The total momentum of a system of interacting bodies remains constant, providing no external force acts.
The rate of change of momentum of a body is directly proportional to the external force acting on the body and takes place in the direction of the force.
If body A exerts a force on body B, then body B exerts an equal and oppositelydirected force on body A.
A body continues in a state of rest or of uniform motion in a straight line unless acted upon by some external force.
A tractor of mass 1000 kg tows a trailer of mass 1000 kg. The total resistance to motion has a constant value of 4000 N and one quarter of this resistance acts on the trailer. The tractor and trailer are moving with with a constant speed of 6 m/s^−1 . What is the force exerted on the tractor by the tow-bar?
0 N
1000 N
3000 N
4000 N
A body is falling freely under gravity. What is its rate of change of momentum equal to?
impulse
kinetic energy
power
weight
The given graph shows the variation with time t of the force F exerted on a body. The area under the graph represents the change of a physical quantity associated with the body. What is this quantity?
acceleration
kinetic energy
momentum
potential energy
A box of mass 2 kg travels at 3 m/s constant speed when it is being pushed horizontally on a rough surface by a 4 N force. What is the acceleration of the box when the force increased to 6 N ?
0 m/s^2
1 m/s^2
2 m/s^2
4 m/s^2
A box is being pushed across a horizontal ground at constant speed. If the push is stopped, the box will
stop immediately
continue to move at constant speed
start slowing down
move at constant speed for a while and then slow down
A box is being pushed horizontally along a rough surface and constant acceleration is archived. If the push is stopped, the box will
stop immediately
slow down and finally stop
continue to move at constant speed
accelerate at a slower rate
P, Q and R are three identical blocks resting on a surface. A force of 30 N is applied at one end as shown in the diagram below. What are the tension T1, between blocks P and Q, and T2, between blocks Q and R, in the string
Two blocks, X and Y, have masses m and 3m respectively. The given diagram shows the blocks being accelerated along a smooth horizontal surface by a force F applied to block X. During the acceleration, what is the magnitude of the force exerted by block X on block Y?
F/4
F/3
F/2
3F/4
A 40 kg mass is initially at rest on a rough bench and a 10 kg mass is attached to it as shown. A friction force of 20 N opposes the motion of the 40 kg mass. What is the speed of the 10 kg mass 2 s after the masses start moving? (g=10 m/s^2 )
0 m/s
3.2 m/s
4.0 m/s
20 m/s
A 40 kg mass and a 10 kg mass rest on smooth surface as shown. What is the speed of the 10 kg mass 2 s after the system is released from rest? (g = 10 m/s^2 )
10 m/s
4 m/s
2 m/s
1 m/s
A lift moves downwards at a constant acceleration of 2 m/s^2 . Given that the lift has a mass of 500 kg, what is the tension in the cable? (g = 10 N/kg)
4000 N
6000 N
2500 N
5000 N
A unicycle is being peddled and is moving in the direction shown. which force shows the frictional force acting on the wheel?
a
b
c
d
Which of the following gives the acceleration of a body?
the area under its displacement - time graph
the gradient of its velocity - time graph
the area under its velocity - time graph
the gradient of its displacement - time graph
A man of mass 50 kg stands on a weighting scale in a lift. When the lift is descending at
a constant DECELERATION of 1.0 m/s2
, what is the reading on the weighting scale? (g= 10
N/kg)
500 N
450 N
60 N
550 N
A man of mass 50 kg stands on a weighting scale in a lift. When the lift is descending at
a constant ACCELERATION of 1.0 m/s2
, what is the reading on the weighting scale? (g= 10
N/kg)
550 N
500 N
450 N
60 N
Which of the following correctly describes the principle of conservation of momentum?
Momentum is conserved by all bodies in a collision.
Momentum is conserved providing no external force act.
Momentum is the product of mass and velocity.
Momentum is conserved only in elastic collisions.
A particle of mass m and velocity u is made to collide head-on with a stationary particle of mass M. Given that the collision is elastic, what is the velocity of the particle of mass M after the collision?
mu/M
2mu / (M +m)
(M−m) u/(M+m)
u
In a collision between two steel balls suspended on strings, what are quantities that must be conserved?
kinetic energy and total energy only
kinetic energy and momentum only
total energy and momentum only
kinetic energy, total energy and momentum
Two spheres, each of mass m, move with speed v towards each other and have a head-on elastic collision. Which one of the following statements is correct?
The spheres stick together on impact
The total kinetic energy after impact is mv^2.
The total kinetic energy before impact is zero.
The total momentum before impact is 2mv
A body, initially at rest, explodes and breaks into two masses. The masses, M1 and M2, move apart with speeds v1 and v2 respectively. What is the ratio v1/v2?
M1/M2
M2/M1
(M1/M2)^1/2
(M2/M1)1/2
55 J
65 J
75 J
45 J
A force F acting on an object varies with distance x as shown in the below figure. The force is in N and x in m. The work done by the force in moving the object from x= 0 to x= 6 m is
4.5 J
9 J
18 J
13.5J
Which word equation correctly defines power?
force × distance moved in the direction of the force
force × velocity
work done x time taken
work done × time taken
A body of mass m is moved a distance s at a steady speed v against a constant force F. What is the power required to keep up this motion?
mv
(mv^2)/2
Fv
Fs
A car engine provides 24 kW of useful power in order to travel at a constant speed. If the driving force on the car is 600 N, what is the speed of the car?
2.5 m/s^-1
4.0 m/s^-1
25 m/s^-1
40 m/s^-1
When the hook of a crane is lifted at a steady velocity, a force of 1000 N is used. A load of mass 1000 kg is now lifted by the crane at a velocity of 0.5 m s-1. [Take g as 10 ms-2]. How much power is used to lift the hook and the load?
5.0 kW
5.5 kW
20 kW
22 kW
A body of mass m is moving up a frictionless track inclined at an angle to the horizontal. What is the power required to give the body a forward acceleration a when its velocity is v ?
mavgsinθ
(mav+mgv)sinθ
mavsinθ +mgv
mav+mgvsinθ
A particle moves through a circular are of length l and radius r in time t. Which expres-sion gives its angular velocity about the centre of the circle?
The axis of rotation of a circular plate is through its centre and perpendicular to its plane. Two particles P and Q are on the plate. The distance of P from the axis is twice that of Q. At a given instant what is the value of
4
2
1/2
1/4
A communication satellite is moving at constant speed in a circular orbit about the Earth. Which row is the table is correct about the momentum and kinetic energy of the satellite?
a
b
c
d
Which statement is correct about a particle moving in a horizontal circular path with constant angular velocity?
The kinetic energy is constant but the linear momentum varies
Both kinetic energy and linear momentum are constant
The linear momentum is constant but the kinetic energy varies
Both speed and linear velocity are constant
A body is moving in uniform circular motion. Which row in the table correctly describes the linear velocity, angular velocity and linear acceleration of the body?
a
b
c
d
What is the mean angular speed of the minute hand of a clock?
1.4×10^−4 rad/s
1.7×10^−3rad/s
5.2×10^−3rad/s
1.0×10^−3rad/s
A spacecraft is moving in a circular orbit around the Earth when its engine is fired and produces a force on the spacecraft exactly equal and opposite to that exerted by the Earth’s gravitational field. How would the spacecraft move?
along a spiral path towards the Earth’s surface
along a tangent to the orbit
in a circular orbit with a longer period
along the line joining it to the centre of the Earth (i.e.radially)
An engine has a component rotating at 3000 revolutions per minute in a circle of radius 8.0 cm. Which of the following is its centripetal acceleration?
25 m/s^−2
3.1x10^4 m/s^−2
7.2x10^4 m/s^−2
7900 m/s^−2
An oscillating pendulum bob of mass 1.27 kg is suspended from a string of length 0.600 m. At the instant when the string is vertical, it is moving with a velocity of 0.575 m/s horizontally. Which of the following is the tension in the string at this instant?
11,8 N
12,5 N
13,2 N
13,7 N
A swinging pendulum bob of mass m and weight W is suspended from a string of length r. At the instant when the string is vertical, tension in the string is T and the bob is moving at speed v. Which of the following expressions relating W and T is correct?
W−T= (mv^2)/r
T=W
T−W= (mv^2)/r
T−W= (v^2)/r
A car is travelling at a constant speed v over a humpback bridge with radius of curvature r. The car of mass m remains in contact with the road and exerts a net force R on the road when its is at the top of the bridge. Which expression gives the correct value for R?
A body is released from height h along an inclined plane. For what minimum height, the body will complete revolution in the vertical circle of radius R
6.0R
2.0R
2.5R
4.0R
