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Kinematics-2D

384 Questions Start Objective Test
All Exams Allen Objective Errorless
Kerala (Engg.) 2001; MP PMT 2009 Q226 Errorless Uniform Circular Motion MCQ
A cyclist riding the bicycle at a speed of $14\sqrt{3}$ ms $^{-1}$ takes a turn around a circular road of radius $20\sqrt{3}$ m without skidding. Given $g = 9.8 \, ms^{-2}$ , what is his inclination to the vertical
A.
$30^{\circ}$
B.
$90^{\circ}$
C.
$45^{\circ}$
D.
$60^{\circ}$
KCET 2001; Kerala PMT 2008 Q227 Errorless Non-uniform Circular Motion MCQ
When a ceiling fan is switched off its angular velocity reduces to $50\%$ while it makes 36 rotations. How many more rotation will it make before coming to rest (Assume uniform angular retardation)
A.
18
B.
12
C.
36
D.
48
CPMT 2001 Q228 Errorless Non-uniform Circular Motion MCQ
A coin, placed on a rotating turn-table slips, when it is placed at a distance of 9 cm from the centre. If the angular velocity of the turn-table is trippled, it will just slip, if its distance from the centre is
A.
27 cm
B.
9 cm
C.
3 cm
D.
1 cm
MP PET 2001; Pb. PET 2004 Q229 Errorless Oblique Projectile Motion MCQ
A particle of mass m is projected with velocity v making an angle of $45^{\circ}$ with the horizontal. The magnitude of the angular momentum of the particle about the point of projection when the particle is at its maximum height is (where g = acceleration due to gravity)
A.
Zero
B.
$mv^{3}/(4\sqrt{2}g)$
C.
$mv^{3}/(\sqrt{2}g)$
D.
$mv^{2}/2g$
KCET 2001; JIPMER 2001, 02 Q230 Errorless Oblique Projectile Motion MCQ
A body is thrown with a velocity of 9.8 m/s making an angle of $30^{\circ}$ with the horizontal. It will hit the ground after a time
A.
1.5 s
B.
1 s
C.
3 s
D.
2 s
CBSE PMT 2001; AIEEE 2007 Q231 Errorless Oblique Projectile Motion MCQ
A projectile is projected with kinetic energy $K$ . If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be
A.
$0.25K$
B.
$0.5K$
C.
$0.75K$
D.
$1.0K$
AMU (Med.) 2001 Q232 Errorless Graphical Questions MCQ
A batsman hits a sixer and the ball touches the ground outside the cricket ground. Which of the following graph describes the variation of the cricket ball's vertical velocity v with time between the time $t_{1}$ as it hits the bat and time $t_{2}$ when it touches the ground
A.
B.
C.
D.
2000 Q233 Objective Taking it together MCQ
An aeroplane moving horizontally with a speed of $720 \, kmh^{-1}$ drops a food pocket, while flying at a height of 396.9 m. The time taken by a food pocket to reach the ground and its horizontal range is (Take $g = 9.8 \, ms^{-2}$ )
A.
3 s and 2000 m
B.
5 s and 500 m
C.
8 s and 1500 m
D.
9 s and 1800 m
2000 Q234 Objective Taking it together MCQ
A bullet is to be fired with a speed of $2000 \, ms^{-1}$ to hit a target 200 m away on a level ground. If $g = 10 \, ms^{-2}$ , the gun should be aimed
A.
directly at the target
B.
5 cm below the target
C.
5 cm above the target
D.
2 cm above the target
Pb. PET 2000, 01; J & K CET 2006 Q235 Errorless Uniform Circular Motion MCQ
A motor cyclist moving with a velocity of 72 km/hour on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 m. The acceleration due to gravity is $10 \, m/sec^{2}$ . In order to avoid skidding, he must not bend with respect to the vertical plane by an angle greater than
A.
$\theta = \tan^{-1} 6$
B.
$\theta = \tan^{-1} 2$
C.
$\theta = \tan^{-1} 25.92$
D.
$\theta = \tan^{-1} 4$
DCE 2000, 01, 03 Q236 Errorless Uniform Circular Motion MCQ
In uniform circular motion, the velocity vector and acceleration vector are
A.
Perpendicular to each other
B.
Same direction
C.
Opposite direction
D.
Not related to each other
CBSE PMT 2000; JIPMER 2002 Q237 Errorless Oblique Projectile Motion MCQ
If a body A of mass M is thrown with velocity V at an angle of $30^{\circ}$ to the horizontal and another body B of the same mass is thrown with the same speed at an angle of $60^{\circ}$ to the horizontal. The ratio of horizontal range of A to B will be
A.
1:3
B.
1:1
C.
$1:\sqrt{3}$
D.
$\sqrt{3}:1$
RPMT 2000 Q238 Errorless Oblique Projectile Motion MCQ
A particle covers 50 m distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed
A.
100 m
B.
150 m
C.
200 m
D.
250 m
2000 Q239 Errorless Critical Thinking MCQ
A bullet is fired from a gun at the speed of $280 \, ms^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is $(g = 9.8 \, \text{ms}^{-2}, \sin 30^{\circ} = 0.5)$
A.
2000 m
B.
1000 m
C.
3000 m
D.
2800 m
RPET 1999; Odisha PMT 2004; MP PET 2008, 09 Q240 Errorless Uniform Circular Motion MCQ
A body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is $\frac{mv^{2}}{r}$ and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle
A.
$\frac{mv^{2}}{r} \times \pi r$
B.
Zero
C.
$\frac{mv^{2}}{r^{2}}$
D.
$\frac{\pi r^{2}}{mv^{2}}$
RPET 1999; DCE 2009; Kerala PMT 2009 Q241 Errorless Uniform Circular Motion MCQ
A body is tided with a string and is given a circular motion with velocity v in radius r. The magnitude of the acceleration is
A.
$\frac{v}{r}$
B.
$\frac{v^{2}}{r}$
C.
$\frac{v}{r^{2}}$
D.
$\frac{v^{2}}{r^{2}}$
UPSEAT 1999; MP PMT 2012 Q242 Errorless Uniform Circular Motion MCQ
A particle revolves round a circular path. The acceleration of the particle is
A.
Along the circumference of the circle
B.
Along the tangent
C.
Along the radius
D.
Zero
DPMT 1999; UPSEAT 2000; RPET 2003; Pb. PET 2004; CBSE PMT (Pre.) 2011 Q243 Errorless Uniform Circular Motion MCQ
A particle moves in a circle of radius 25 cm at two revolutions per second. The acceleration of the particle in $m/s^{2}$ is
A.
$\pi^{2}$
B.
$8\pi^{2}$
C.
$4\pi^{2}$
D.
$2\pi^{2}$
MP PMT 1999; Kerala PET 2010 Q244 Errorless Uniform Circular Motion MCQ
A string breaks if its tension exceeds 10 newtons. A stone of mass $250\mathrm{gm}$ tied to this string of length $10~cm$ is rotated in a horizontal circle. The maximum angular velocity of rotation can be
A.
$20\mathrm{rad / s}$
B.
$40\mathrm{rad / s}$
C.
$100\mathrm{rad / s}$
D.
$200\mathrm{rad / s}$
CBSE PMT 1999; KCET 2001; JIPMER 2001. 02; Pb. PMT 2003 Q245 Errorless Uniform Circular Motion MCQ
A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is
A.
250 N
B.
750 N
C.
1000 N
D.
1200 N
DCE 1999, 2001, 09; Kerala PET 2011 Q246 Errorless Non-uniform Circular Motion MCQ
A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is
A.
Rg
B.
$(Rg)^{2}$
C.
R/g
D.
$\sqrt{Rg}$
CPMT 1999; MH CET 2004 Q247 Errorless Non-uniform Circular Motion MCQ
The minimum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l
A.
$\sqrt{gl}$
B.
$\sqrt{3gl}$
C.
$\sqrt{5gl}$
D.
$\sqrt{7gl}$
KCET 1999; BHU 2003 Q248 Errorless Horizontal Projectile Motion MCQ
The maximum range of a gun on horizontal terrain is 16 km. If $g = 10m/s^{2}$ . What must be the muzzle velocity of the shell
A.
200 m/s
B.
400 m/s
C.
100 m/s
D.
50 m/s
BHU 1999; AMU (Engg.) 2000; DPMT 2001 Q249 Errorless Oblique Projectile Motion MCQ
A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant
A.
Kinetic energy of the ball
B.
Speed of the ball
C.
Horizontal component of velocity
D.
Vertical component of velocity
AMU (Engg.) 1999; JIPMER 2001, 02 Q250 Errorless Critical Thinking MCQ
The kinetic energy k of a particle moving along a circle of radius R depends on the distance covered s as $k = as^{2}$ where a is a constant. The force acting on the particle is
A.
$2a\frac{s^{2}}{R}$
B.
$2as\left(1 + \frac{s^{2}}{R^{2}}\right)^{1/2}$
C.
2as
D.
$2a\frac{R^{2}}{s}$