Mechanical Engineering Online Test

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Two tall buildings are 100 m apart. A ball thrown horizontally from a window 150 m above ground in one building enters a window 25 m from the ground in the other building. The ball has an initial velocity of
12 m/s
15 m/s
20 m/s
22.5 m/s
A projectile is launched with velocity 100 m/s and having and angle of projection of 30° inclination with the horizontal. Its velocity on return down to earth will be nearest to
50 m/s
68 m/s
87 m/s
100 m/s
Identify the incorrect statement :
a glider put into space with some initial velocity is not a projectile
for a ball thrown at 45 degree with the horizontal and with kinetic energy E, the kinetic energy at the highest point during flight will be 2/3 E.
the sum of maximum heights attained by a projectile does not depend on the angle of projections which give the same horizontal range
when a shell fired from a gun at an angle to the horizontal explodes in mid air, the centre of mass of its fragments moves along the parabolic path of the original shell
Which of the following statements regarding projectile motion is wrong?
the path of one projectile as seen from another projectile is always a straight line
at the top of the trajectory of a projectile, the directions of its velocity and acceleration are perpendicular to each other
for a projectile, the horizontal range is four times the maximum height when the angle of projection is equal to 45°
for a projectile fired at 76° with the horizontal, the ratio of maximum height reached to its range is maximum
Consider a projectile fired with velocity V and making an angle ? with the horizontal. If its range and maximum height attained are stated to be R and H respectively, then which of the following statement is/are correct?
range will be same if the angle of projection is (90 – ?)
maximum height attained will be same if the angle of projection is (90 – ?)
R/H = 4 cot ?
R/H = 4 tan ?
Both 1 and 3
Mark the wrong statement :
for all complimentary set of angles, the horizontal range remains the same
both he range and time of flight of a projectile decrease with an increase in air resistance
the range of projectile depends upon the angle of projection for a fixed magnitude of the velocity of projection
the trajectory of a projectile is parabolic with its contour prescribed by the relation y = px – qx2 where p and q are constants
A projectile has been fired at an angle of 45° to the horizontal such that it reaches a maximum height of 16 m. Which of the following statements is wrong?
the projectile will have zero velocity at the highest point
the range of projectile is 64 m
the range of projectile would decrease if it is fired at an angle of 30° to the horizontal
the velocity at the highest point decreases with an increase in the angle of projection
Two stones are projected with the same velocity (in magnitudes) but making different angles with the horizontal. If their ranges are equal and the angle of projection of one is 60°, then the ratio of the maximum heights attained (y2/y1) will be
3:1
2:1
1:2
1:3
A projectile can have the same range for two angles of projection. If t1 and t2 are the times of flight in the two cases, then the product of the times of flight is proportional to
R2
1/R2
R
1/R
Two projectiles are fired with equal velocities but one with angle 30° and the other at 60° with the horizontal. Then
both will have equal horizontal range
both will rise to the same maximum height
both will have equal horizontal range as well as same maximum height
both will have the same time of flight
Two stones are projected from the same point with the same speed but at angles  and  respectively. If their ranges are R1 and R2, then
R1=2R2
R1=R2
R1=0.5 R2
R1=0.25 R2
For maximum horizontal range, the angle of projection of a projectile should be
30°
45°
60°
75°
Identify the correct statement about a projectile launched with a certain initial velocity :
kinetic energy will be maximum at the maximum height attained
potential energy will be maximum at the maximum height attained
kinetic energy equals potential energy at the maximum height attained
kinetic energy and potential energy are approximately equal son after launching
Which of the following assumptions is not necessary in obtaining the equation for parabolic trajectory of a body?
Particle representation of the body is adequate
Air resistance is negligible
No change in the mass of the body during motion
Constant gravitational acceleration
Smooth surface of the body.
A particle is projected at an angle ? to the horizontal and it attains a maximum height H. The time taken by the projectile to reach the highest point of its path is
Which of the followings is not a projectile?
A ball thrown upwards
A stone thrown horizontally from the top of a tower
A rocket fired into space
A bullet fire from the gun
Which of the following remains constant during flight of a projectile?
vertical component of velocity
horizontal component of velocity
angle of projectile
sum of its kinetic energy and potential energy
For a projectile, the maximum horizontal range Rm and the maximum height H attained during the course of flight conform to the identity :
vertical component of velocity
horizontal component of velocity
angle of projectile
sum of its kinetic energy and potential energy
A projectile will cover the maximum vertical distance in a minimum time when the angle of projection is
30°
45°
60°
90°
For a projectile of range R, the kinetic energy is minimum after the projectile covers (from start) a distance equal to
0.25 R
0.5 R
0.75 R
R
For a projectile, the horizontal range is stated to be equal to the equal to the distance through which it rises. The angle of projection is approximately
14°
28°
38°
76°
A particle is projected at such an angle with the horizontal that the maximum height attained by the particle is 1/4th of horizontal range. Then the angle of projection is
30°
45°
60°
75°
If the time of flight of a bullet over a horizontal range R is T seconds, the inclination of the direction of projection with the horizontal is
tan-1(gT2/2R)
tan-1(gT/2R)
tan-1(gT2/4R)
tan-1(2gT/R)
Which one of the following situations constitutes a projectile?
lifting of a balloon
taking off a aircraft
throwing of a cricket ball from one player to another
launching of a satellite
Two balls are projected from the same point making angles of 60° and 30° with the vertical axis. If both the balls are to attain the same height, the ratio of the speeds of projection V1/V2 should be_____
1:2
1:1
A projectile is launched in the atmosphere with a velocity 100 m/s and at an angle of 30° with the vertical. Taking gravitational acceleration g = 10 m/s2
432 m
577 m
865 m
1300 m
A projectile has a range R in the gravitational field of earth. Under identical conditions of velocity and acceleration, its range on moon would be : Take g on moon______equal to one-sixth of that on earth.
6 R
R/6
Description:

The question paper has 50 questions which are to be completed in an hours time approximately

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Amit Kumar

if the time of flight of a bullet over a horizontal range R is T,then the angle of projection with of horizontal is

2069 days 3 hours 51 minutes ago

Kalyan Sarkar
Psychological interventions in Mathematics Study
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