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Kinematics-2D

118 Questions Start Errorless Test
All Exams Allen Advance Errorless
Basic Level Q51 Errorless 4. Horizontal Range MCQ
Two particles are projected from the same point with the same speed at different angle $\theta_{1}$ and $\theta_{2}$ to the horizontal. They have the same horizontal range. Their times of flight are $t_1$ and $t_2$ respectively. Then
A.
$\theta_{1} + \theta_{2} = 90^{\circ}$
B.
$\frac{t_1}{t_2} = \frac{\tan\theta_1}{\tan\theta_2}$
C.
$\frac{t_1}{t_2} = \tan\theta_2$
D.
$\frac{t_1}{t_2} = \tan\theta_1$
Basic Level Q52 Errorless 4. Horizontal Range MCQ
A projectile thrown from a height of 10 m with velocity of $\sqrt{2}$ m/s, the projectile will fall, from the foot of projection, at distance ( $g = 10 \, m/s^{2}$ )
A.
1 m
B.
2 m
C.
3 m
D.
$\sqrt{2}$ m
Basic Level Q53 Errorless 4. Horizontal Range MCQ
On throwing a ball from the top of a vertical tower with a horizontal velocity of 20 m/s, it hits the earth at a distance of 50 m from the foot of the tower. If the ball is thrown with the same horizontal velocity from the top of another tower of height four times the height of first tower, the ball will hit the earth at a distance of
A.
50 m
B.
100 m
C.
200 m
D.
$50\sqrt{2}$ m
Advance Level Q54 Errorless 4. Horizontal Range MCQ
A shell is fired vertically upwards with a velocity $v_{1}$ from the deck of a ship travelling at a speed of $v_{2}$ . A person on the shore observes the motion of the shell as parabola whose horizontal range is given by
A.
$\frac{2v_{1}^{2}v_{2}}{g}$
B.
$\frac{2v_{1}v_{2}^{2}}{g}$
C.
$\frac{2v_{1}v_{2}}{g}$
D.
$\frac{2v_{1}^{2}v^{2}}{g}$
Advance Level Q55 Errorless 4. Horizontal Range MCQ
A boy standing on a long rail road car throws a ball straight upward. The car is moving on the horizontal road with an acceleration of $1m / s^2$ and the projection velocity in the vertical direction is $9.8m / s$ . How far behind the boy will the ball fall on the car
A.
$1m$
B.
$2m$
C.
$4m$
D.
$0.5m$
Advance Level Q56 Errorless 4. Horizontal Range MCQ
Two projectiles A and B thrown with velocities v and $\frac{v}{2}$ have the same range. If B is thrown at an angle of $15^{\circ}$ to the horizontal, A must have been thrown at an angle
A.
$\sin^{-1}\left(\frac{1}{16}\right)$
B.
$\sin^{-1}\left(\frac{1}{4}\right)$
C.
$2\sin^{-1}\left(\frac{1}{4}\right)$
D.
$\frac{1}{2}\sin^{-1}\left(\frac{1}{8}\right)$
Advance Level Q57 Errorless 4. Horizontal Range MCQ
A body is projected with a speed u in such a direction that the maximum height obtained is equal to its horizontal range. The horizontal range is
A.
$\frac{8u^{2}}{17g}$
B.
$\frac{5u^{2}}{17g}$
C.
$\frac{6u^{2}}{13g}$
D.
$\frac{u^{2}}{2g}$
Advance Level Q58 Errorless 4. Horizontal Range MCQ
A body of mass m thrown horizontally with velocity v, from the top of tower of height h touches the level ground at a distance of 250 m from the foot of the tower. A body of mass 2m, thrown horizontally with a velocity v/2, from the top of tower of height 4 h will touch the level ground at a distance from the foot of tower
A.
250 m
B.
500 m
C.
125 m
D.
$250 \sqrt{2}$ m
Advance Level Q59 Errorless 4. 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 Q60 Errorless 5. 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 Q61 Errorless 5. 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 Q62 Errorless 5. 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 Q63 Errorless 5. 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 Q64 Errorless 5. 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 Q65 Errorless 5. 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 Q66 Errorless 5. 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 Q67 Errorless 5. 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 Q68 Errorless 5. 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 Q69 Errorless 6. 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 Q70 Errorless 6. 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 Q71 Errorless 6. 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 Q72 Errorless 6. 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 Q73 Errorless 6. 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 Q74 Errorless 6. 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 × total time of flight
B.
Weight of the ball × half the time of flight
C.
Weight of the ball × total time of flight
D.
None of these
Basic Level Q75 Errorless 7. 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