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Kinematics-2D

362 Questions Start Errorless Test
All Exams Allen Advance Errorless
Advance Level Q76 Errorless Horizontal Range MCQ
A small block of mass 0.1 kg is pressed against a horizontal spring fixed at one end to compress the spring through 5.0 cm as shown in figure. The spring constant is 100 N/m. When released the block moves
A.
Vertically below the edge on which the mass is resting
B.
At a horizontal distance of $1m$ from free end of the spring
C.
At a horizontal distance of $2m$ from free end of the spring
D.
At a horizontal distance of $\sqrt{2} m$ from free end of the spring
Basic Level Q77 Errorless Maximum Height MCQ
Which of the following does not affect the maximum height attained by the projectile
A.
Magnitude of initial velocity
B.
Acceleration of the projectile
C.
Angle of projection
D.
Mass of the projectile
Basic Level Q78 Errorless Maximum Height MCQ
A cricketer hits a ball with a velocity 25 m/s at $60^{\circ}$ above the horizontal. How far above the ground it passes over a fielder 50 m from the bat (assume the ball is struck very close to the ground)
A.
8.2 m
B.
9.0 m
C.
11.6 m
D.
12.7 m
Basic Level Q79 Errorless Maximum Height MCQ
A person can throw a stone to a maximum distance of 100 m. the greatest height to which he can throw the stone is
A.
100 m
B.
75 m
C.
50 m
D.
25 m
Basic Level Q80 Errorless Maximum Height MCQ
Which of the following is largest, when the height attained by the projectile is the largest
A.
Range
B.
Time of flight
C.
Angle of projectile with vertical
D.
None of these
Basic Level Q81 Errorless Maximum Height MCQ
In broad jumping does it matter how high you jump? What factors determine the span of the jump
A.
Yes, $u$ and $\theta$
B.
No, $u$ and $\theta$
C.
No, $h$ and $\theta$
D.
None of these
Advance Level Q82 Errorless Maximum Height MCQ
From a point on the ground at a distance 2 metres from the foot of a vertical wall, a ball is thrown at an angle of $45^{\circ}$ which just clears the top of the wall and afterward strikes the ground at a distance $4m$ on the other side. The height of the wall is
A.
$\frac{2}{3} m$
B.
$\frac{3}{4} m$
C.
$\frac{1}{3} m$
D.
$\frac{4}{3} m$
Advance Level Q83 Errorless Maximum Height MCQ
A ball is thrown from the top of a tower with an initial velocity of 10 m/s at an angle of $30^{\circ}$ above the horizontal. It hits the ground at a distance of 17.3 m from the base of the tower. The height of the tower ( $g = 10 \, m/s^{2}$ ) will be
A.
10 m
B.
12 m
C.
110 m
D.
100 m
Advance Level Q84 Errorless Maximum Height MCQ
A ball is projected from the ground at a speed of 10 m/s making angle $30^{\circ}$ with the horizontal. Another ball is simultaneously released from a point on the vertical line along the maximum height of the projectile. Both the balls collide at the maximum height of the projectile. What was the initial height of the second ball
A.
1.0 m
B.
1.25 m
C.
2.0 m
D.
2.5 m
Advance Level Q85 Errorless Maximum Height MCQ
A hose shoots a stream of water at an angle of $60^{\circ}$ the horizontal with a velocity of $20 \, m/s$ . Water will strike a wall at a distance of $10 \, m$ at a height
A.
$5.36 \, m$
B.
$10.22 \, m$
C.
$12.42 \, m$
D.
$16.84 \, m$
Basic Level Q86 Errorless Momentum MCQ
A particle of mass m is thrown at an angle of $45^{\circ}$ with the horizontal with a momentum p. The magnitude of its momentum at the top of its parabolic path will be
A.
p
B.
2 p
C.
$p/\sqrt{2}$
D.
p/2
Basic Level Q87 Errorless Momentum MCQ
A bullet of mass m is fired from a point at an angle of $45^{\circ}$ with the horizontal with a velocity v. When it reaches the ground, the change in its vertical component of momentum is
A.
Zero
B.
$\frac{1}{2}mv$
C.
$mv\sqrt{2}$
D.
2 mv
Basic Level Q88 Errorless Momentum MCQ
A ball of mass m and kinetic energy E is thrown at an angle of $45^{\circ}$ with the horizontal. The momentum at the highest point of its path will be
A.
$\sqrt{mE}$
B.
$\sqrt{mE/2}$
C.
$\sqrt{2mE}$
D.
Zero
Advance Level Q89 Errorless Momentum MCQ
A particle having a mass of 0.5 kg is projected under gravity with a speed of 98 m/sec at an angle of $60^{\circ}$ . The magnitude of the change in momentum in N-sec of the particle after 10 seconds is
A.
0.5
B.
49
C.
98
D.
490
Advance Level Q90 Errorless Momentum MCQ
A projectile is fired at $30^{\circ}$ with momentum $p$ . neglecting friction the change in momentum on return to the ground will be
A.
Zero
B.
$30\%$
C.
$60\%$
D.
$100\%$
Advance Level Q91 Errorless Momentum MCQ
A ball is thrown up with a given angle to the horizontal. Then the total change of momentum by the instant it returns to the ground is equal to
A.
Acceleration due to gravity Ɨ total time of flight
B.
Weight of the ball Ɨ half the time of flight
C.
Weight of the ball Ɨ total time of flight
D.
None of these
Basic Level Q92 Errorless Energy MCQ
The work done to project a body with a certain velocity is W. What extra work is required to be done to double its velocity
A.
W
B.
2W
C.
3W
D.
4W
Basic Level Q93 Errorless Energy MCQ
A cricket ball is hit at $30^{\circ}$ with the horizontal with kinetic energy $K$ . The kinetic energy at the highest point is
A.
Zero
B.
$K / 4$
C.
$K / 2$
D.
$3K / 4$
Basic Level Q94 Errorless Energy MCQ
Two balls are projected, one vertically up and the other at an angle of $30^{\circ}$ to the horizontal, with the same initial speed. The potential energy at the highest point will be in the ratio
A.
$3:4$
B.
$4:3$
C.
$4:1$
D.
$1:4$
Basic Level Q95 Errorless Energy MCQ
In the above problem the ratio of kinetic energies of these balls at the highest point is
A.
$4:3$
B.
$3:4$
C.
$\infty$
D.
o
Basic Level Q96 Errorless Energy MCQ
A body is projected such that the K.E. at the topmost position is half of the initial K.E. What is its angle of projection with the horizontal
A.
$30^{\circ}$
B.
$60^{\circ}$
C.
$75^{\circ}$
D.
$45^{\circ}$
Basic Level Q97 Errorless Energy MCQ
A body is thrown with initial kinetic energy 100J at an angle $\theta^{\circ}$ to the horizontal. If its kinetic energy at the top is 25J, then the angle of projection is
A.
$30^{\circ}$
B.
$45^{\circ}$
C.
$60^{\circ}$
D.
$90^{\circ}$
Basic Level Q98 Errorless Angular Displacement MCQ
A particle moves along a circular path of radius $r$ with uniform speed $v$ . The angle described by the particle in one second is given by
A.
$vr^{-1}$
B.
$v^{-1}r$
C.
$vr^{-2}$
D.
$v^2 r$
Basic Level Q99 Errorless Angular Velocity MCQ
The angular velocity of earth about its axis of rotation is
A.
$2\pi/(60 \times 60 \times 24)$ rad/sec
B.
$2\pi/(60 \times 60)$ rad/sec
C.
$2\pi/60$ rad/sec
D.
$2\pi/(365 \times 24 \times 60 \times 60)$ rad/sec
Basic Level Q100 Errorless Angular Velocity MCQ
The ratio of the angular velocities of rotational motion of earth round the sun and spinning motion about its own axis is
A.
1/12
B.
1/24
C.
1/365
D.
1/3600