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Kinematics-2D

212 Questions Start Errorless Test
All Exams Allen Advance Errorless
EAMCET 2009 Q126 Errorless 6. Graphical Questions MCQ
A particle is projected up from a point at an angle $\theta$ with the horizontal direction. At any time $t'$ , if $p$ is the linear momentum, $y$ is the vertical displacement, $x$ is horizontal displacement, the graph among the following which does not represent the variation of Kinetic energy KE of the particle
(A)

(B)

(C)

(D)
A.
Graph A
B.
Graph B
C.
Graph C
D.
Graph D
CBSE PMT 2008 Q127 Errorless 2. Non-uniform Circular Motion MCQ
A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is $20m$ . The speed of the car at the top of the hill is between
A.
$16m/s$ and $17m/s$
B.
$13m/s$ and $14m/s$
C.
$14m/s$ and $15m/s$
D.
$15m/s$ and $16m/s$
J & K CET 2008; MP PET 2013 Q128 Errorless 2. Non-uniform Circular Motion MCQ
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a. If its velocity is made equal to 2v, then its centripetal acceleration is
A.
4a
B.
2a
C.
$\frac{a}{4}$
D.
$\frac{a}{2}$
MP PET 2008 Q129 Errorless 4. Oblique Projectile Motion MCQ
A projectile moves from the ground such that its horizontal displacement is $x = Kt$ and vertical displacement is $y = Kt(1 - \alpha t)$ , where $K$ and $\alpha$ are constants and $t$ is time. Find out total time of flight (T) and maximum height attained ( $Y_{\max}$ ) its
A.
$T = \alpha$ , $Y_{\max} = \frac{K}{2\alpha}$
B.
$T = \frac{1}{\alpha}$ , $Y_{\max} = \frac{2K}{\alpha}$
C.
$T = \frac{1}{\alpha}$ , $Y_{\max} = \frac{K}{6\alpha}$
D.
$T = \frac{1}{\alpha}$ , $Y_{\max} = \frac{K}{4\alpha}$
MP PET 2008; JEE (Main) Feb. 2021 Q130 Errorless 4. Oblique Projectile Motion MCQ
A particle is projected with velocity $V_{0}$ along x-axis. The deceleration on the particle is proportional to the square of the distance from the origin i.e. $a=\alpha x^{2}$ , the distance at which the particle stops is
A.
$\sqrt{\frac{3V_{0}}{2\alpha}}$
B.
$\left(\frac{3V_{0}}{2\alpha}\right)^{\frac{1}{3}}$
C.
$\sqrt{\frac{2V_{0}^{2}}{3\alpha}}$
D.
$\left(\frac{3V_{0}^{2}}{2\alpha}\right)^{\frac{1}{3}}$
Odisha JEE 2008 Q131 Errorless 4. Oblique Projectile Motion MCQ
A body is fired vertically upward. At half the maximum height, the velocity of the body is 10 m/s. The maximum height raised by the body is
A.
0 m
B.
10 m
C.
15 m
D.
20 m
Odisha JEE 2008 Q132 Errorless 4. Oblique Projectile Motion MCQ
A body is thrown upward from the earth surface with velocity $5\mathrm{m / s}$ and from a planet surface with velocity $3\mathrm{m / s}$ . Both follow the same path. What is the projectile acceleration due to gravity on the planet
A.
$2\mathrm{m} / \mathrm{s}^2$
B.
$3.5\mathrm{m} / \mathrm{s}^2$
C.
$4\mathrm{m} / \mathrm{s}^2$
D.
$5\mathrm{m} / \mathrm{s}^2$
Kerala PET 2008 Q133 Errorless 4. Oblique Projectile Motion MCQ
Two particles A and B are projected with same speed so that the ratio of their maximum heights reached is 3:1. If the speed of A is doubled without altering other parameters, the ratio of the horizontal ranges attained by A and B is
A.
1:1
B.
2:1
C.
4:1
D.
3:2
E.
4:3
IIT-JEE 2008 Q134 Errorless 5. Critical Thinking MCQ
A bob of mass $M$ is suspended by a massless string of length $L$ . The horizontal velocity $V$ at position $A$ is just sufficient to make it reach the point $B$ . The angle $\theta$ at which the speed of the bob is half of that at $A$ , satisfies
A.
$\theta = \frac{\pi}{4}$
B.
$\frac{\pi}{4} < \theta < \frac{\pi}{4}$
C.
$\frac{\pi}{2}<\theta<\frac{3\pi}{4}$
D.
$\frac{3\pi}{4} < \theta < \pi$
MP PET 2007 Q135 Errorless 1. Uniform Circular Motion MCQ
A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity $\omega_0$ . If the length of the string and angular velocity both are doubled, the tension in the string which was initially $T_0$ is now
A.
$T_0$
B.
$T_0 / 2$
C.
$4T_0$
D.
$8T_0$
MP PET 2007; AIEEE 2011 Q136 Errorless 3. Horizontal Projectile Motion MCQ
A large number of bullets are fired in all directions with same speed v. What is the maximum area on the ground on which these bullets will spread
A.
$\pi\frac{v^{2}}{g}$
B.
$\pi\frac{v^{4}}{g^{2}}$
C.
$\pi^{2}\frac{v^{4}}{g^{2}}$
D.
$\pi^{2}\frac{v^{2}}{g^{2}}$
Kerala PET 2007 Q137 Errorless 4. Oblique Projectile Motion MCQ
A ball is projected from the ground at a speed of $10ms^{-1}$ making an angle of $30^{\circ}$ 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 first ball. The initial height of the second ball is $(g=10ms^{-2})$
A.
6.25m
B.
2.5m
C.
3.75m
D.
5m
BHU 2006; AMU 2010; NEET 2017 Q138 Errorless 1. Uniform Circular Motion MCQ
One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$ , the net force on the particle (directed towards the centre) will be ( $T$ represents the tension in the string)
A.
$T$
B.
$T - \frac{mv^2}{l}$
C.
$T + \frac{mv^2}{l}$
D.
Zero $T$ is the tension in the string
CBSE PMT 2006 Q139 Errorless 1. Uniform Circular Motion MCQ
A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular loop. The average velocity and average speed for each circular loop respectively is
A.
10 m/s, 10 m/s
B.
10 m/s, 0
C.
0, 0
D.
0, 10 m/s
J & K CET 2006 Q140 Errorless 1. Uniform Circular Motion MCQ
Two particles of equal mass are connected to a rope $AB$ of negligible mass such that one is at end $A$ and other dividing the length of rope in the ratio 1 : 2 from $B$ . The rope is rotated about end $B$ in a horizontal plane. Ratio of tensions in the smaller part to the other is (ignore effect of gravity)
A.
4 : 3
B.
1 : 4
C.
1 : 2
D.
1 : 3
BHU 2006 Q141 Errorless 3. Horizontal Projectile Motion MCQ
A cart is moving horizontally along a straight line with constant speed 30 m/s. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 80m. At what speed (relative to the cart) must the projectile be fired (Take $g = 10m/s^{2}$ )
A.
10 m/s
B.
$10\sqrt{8}$ m/s
C.
$\frac{40}{3}$ m/s
D.
None of these
CBSE PMT 2006 Q142 Errorless 4. Oblique Projectile Motion MCQ
Galileo writes that for angles of projection of a projectile at angles $(45^{\circ} + \theta)$ and $(45^{\circ} - \theta)$ , the horizontal ranges described by the projectile are in the ratio of (if $\theta \leq 45^{\circ}$ )
A.
2:1
B.
1:2
C.
1:1
D.
2:3
BCECE 2006 Q143 Errorless 4. Oblique Projectile Motion MCQ
A projectile is projected with $a$ speed $u$ making an angle $2\theta$ with the horizontal. what is the speed when its direction of motion makes an angle $\theta$ with the horizontal
A.
$(u\cos 2\theta)/2$
B.
$u\cos\theta$
C.
$u(2\cos\theta-\sec\theta)$
D.
$u(\cos\theta-\sec\theta)$
J & K CET 2006 Q144 Errorless 4. Oblique Projectile Motion MCQ
Two bodies are projected from ground with equal speeds 20 m/sec from the same position in same vertical plane to have equal range but at different angle above the horizontal. If one of the angle is $30^{\circ}$ the sum of their maximum heights is (assume $g = 10m/s^{2}$ )
A.
400 m
B.
20 m
C.
30 m
D.
40 m
CBSE PMT 2006; DCE 2006; JEE (Main) Jan. 2022, 25, July 2022 Q145 Errorless 5. Critical Thinking MCQ
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$ . The force exerted by the liquid at the other end is
A.
$\frac{ML\omega^{2}}{2}$
B.
$ML\omega^{2}$
C.
$\frac{ML\omega^{2}}{4}$
D.
$\frac{ML^{2}\omega^{2}}{2}$
UP CPMT 2006 Q146 Errorless 5. Critical Thinking MCQ
The angular amplitude of a simple pendulum is $\theta_0$ . The maximum tension in its string will be
A.
$mg(1 - \theta_0)$
B.
$mg(1 + \theta_0)$
C.
$mg(1 - \theta_0^2)$
D.
$mg(1 + \theta_0^2)$
Kerala PET 2005 Q147 Errorless 1. Uniform Circular Motion MCQ
If the length of the second's hand in a stop clock is 3 cm the angular velocity and linear velocity of the tip is
A.
0.2047 rad/sec., 0.0314 m/sec
B.
0.2547 rad/sec., 0.314 m/sec
C.
0.1472 rad/sec., 0.06314 m/sec
D.
0.1047 rad/sec., 0.00314 m/sec
Odisha JEE 2005 Q148 Errorless 1. Uniform Circular Motion MCQ
What is the angular velocity of earth
A.
$\frac{2\pi}{86400}\mathrm{rad / sec}$
B.
$\frac{2\pi}{3600}\mathrm{rad / sec}$
C.
$\frac{2\pi}{24}\mathrm{rad / sec}$
D.
$\frac{2\pi}{6400}\mathrm{rad / sec}$
J & K CET 2005 Q149 Errorless 1. Uniform Circular Motion MCQ
A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of $0.5\mathrm{m / s}$ . What is the height of the plane of circle from vertex of the funnel
A.
$0.25\mathrm{cm}$
B.
$2\mathrm{cm}$
C.
$4\mathrm{cm}$
D.
$2.5\mathrm{cm}$
CBSE PMT 2005 Q150 Errorless 1. Uniform Circular Motion MCQ
A stone tied to the end of a string 1m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolution in 44 seconds, what is the magnitude and direction of acceleration of the stone
A.
$\pi^2 / 4ms^{-2}$ and direction along the radius towards the centre
B.
$\pi^2 ms^{-2}$ and direction along the radius away from the centre
C.
$\pi^2 ms^{-2}$ and direction along the radius towards the centre
D.
$\pi^2 ms^{-2}$ and direction along the tangent to the circle