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629 Questions Start Allen Test
All Exams Allen Objective Errorless
AIEEE 2002 Q276 Errorless Critical Thinking MCQ
When forces $F_{1}, F_{2}, F_{3}$ are acting on a particle of mass $m$ such that $F_{2}$ and $F_{3}$ are mutually perpendicular, then the particle remains stationary. If the force $F_{1}$ is now removed then the acceleration of the particle is
A.
$F_{1}/m$
B.
$F_{2}F_{3}/mF_{1}$
C.
$(F_{2}-F_{3})/m$
D.
$F_{2}/m$
AIIMS 2002; BHU 2004 Q277 Errorless Static and limiting friction MCQ
If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of friction between it and floor is 0.3, then what is the maximum force of friction available at the point of contact between the ladder and the floor
A.
75 N
B.
50 N
C.
35 N
D.
25 N
BHU 2002 Q278 Errorless Kinetic Friction MCQ
A car is moving along a straight horizontal road with a speed $v_{0}$ . If the coefficient of friction between the tyres and the road is $\mu$ , the shortest distance in which the car can be stopped is
A.
$\frac{v_0^2}{2\mu g}$
B.
$\frac{v_0}{\mu g}$
C.
$\left(\frac{v_0}{\mu g}\right)^2$
D.
$\frac{v_0}{\mu}$
DPMT 2002 Q279 Errorless Kinetic Friction MCQ
Two carts of masses 200 kg and 300 kg on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the 200 kg cart travels a distance of 36 m and stops, then the distance travelled by the cart weighing 300 kg is
A.
32 m
B.
24 m
C.
16 m
D.
12 m
Pb. PMT 2002 Q280 Errorless Kinetic Friction MCQ
A fireman of mass 60 kg slides down a pole. He is pressing the pole with a force of 600 N. The coefficient of friction between the hands and the pole is 0.5, with what acceleration will the fireman slide down ( $g=10\ m/s^{2}$ )
A.
$1\ m/s^{2}$
B.
$2.5\ m/s^{2}$
C.
$10\ m/s^{2}$
D.
$5\ m/s^{2}$
AIIMS 2002 Q281 Errorless Kinetic Friction MCQ
A block of mass 10 kg is placed on a rough horizontal surface having coefficient of friction $\mu = 0.5$ . If a horizontal force of 100 N is acting on it, then acceleration of the block will be
A.
$0.5 \, m/s^{2}$
B.
$5 \, m/s^{2}$
C.
$10 \, m/s^{2}$
D.
$15 \, m/s^{2}$
JIPMER 2002; MP PET 2010 Q282 Errorless Motion on Inclined Surface MCQ
A coin of mass 10g is placed over a book of length 50 cm. The coin is on the verge of sliding when one end of the book is lifted 10 cm up. The coefficient of static friction between the book and the coin is
A.
1.0
B.
0.4
C.
0.3
D.
0.2
MP PMT 2002; CBSE PMT 2006; AFMC 2006 Q283 Errorless Motion on Inclined Surface MCQ
300 Joule of work is done in sliding up a 2 kg block on an inclined plane to a height of 10 metres. Taking value of acceleration due to gravity 'g' to be 10 m/sĀ², work done against friction is
A.
100 J
B.
200 J
C.
300 J
D.
Zero
AFMC 2001 Q284 Errorless First law of Motion MCQ
A particle is moving with a constant speed along a straight line path. A force is not required to
A.
Increase its speed
B.
Decrease the momentum
C.
Change the direction
D.
Keep it moving with uniform velocity
CBSE PMT 2001; BHU 2001; Kerala PET 2005; AIEEE 2006 Q285 Errorless Second Law of Motion MCQ
A player caught a cricket ball of mass 150 gm moving at the rate of 20 m/sec. If the catching process be completed in 0.1 sec the force of the blow exerted by the ball on the hands of player is
A.
0.3 N
B.
30 N
C.
300 N
D.
3000 N
AIIMS 2001; Odisha JEE 2002; AMU (Engg.) 2012 Q286 Errorless Conservation of Linear Momentum and Impulse MCQ
A gun fires a bullet of mass 50 g with a velocity of $30msec^{-1}$ . Because of this the gun is pushed back with a velocity of $1msec^{-1}$ . The mass of the gun is
A.
15 kg
B.
30 kg
C.
1.5 kg
D.
20 kg
DPMT 2001; Pb. PMT 2002; MP PMT 2004; Odisha JEE 2005 Q287 Errorless Conservation of Linear Momentum and Impulse MCQ
A diwali rocket is ejecting 0.05 kg of gases per second at a velocity of 400 m/sec. The accelerating force on the rocket is
A.
20 dynes
B.
20 N
C.
22 dynes
D.
1000 N
IIT-JEE 2001 Q288 Errorless Critical Thinking MCQ
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta$ should be
A.
$0^{\circ}$
B.
$30^{\circ}$
C.
$45^{\circ}$
D.
$60^{\circ}$
IIT-JEE 2001 Q289 Errorless Critical Thinking MCQ
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by
A.
$\sqrt{2} Mg$
B.
$\sqrt{2} mg$
C.
$\sqrt{(M + m)^2 + m^2} g$
D.
$\sqrt{(M + m)^2 + M^2} g$
CBSE PMT 2001 Q290 Errorless Kinetic Friction MCQ
On the horizontal surface of a truck ( $\mu = 0.6$ ), a block of mass 1 kg is placed. If the truck is accelerating at the rate of $5m/sec^{2}$ then frictional force on the block will be
A.
5 N
B.
6 N
C.
5.88 N
D.
8 N
CBSE PMT 2001; MP PMT 2009 Q291 Errorless Kinetic Friction MCQ
A vehicle of mass m is moving on a rough horizontal road with momentum P. If the coefficient of friction between the tyres and the road be $\mu$ , then the stopping distance is
A.
$\frac{P}{2\mu mg}$
B.
$\frac{P^{2}}{2\mu mg}$
C.
$\frac{P}{2\mu m^{2}g}$
D.
$\frac{P^{2}}{2\mu m^{2}g}$
EAMCET 2001 Q292 Errorless Kinetic Friction MCQ
A body of weight 64 N is pushed with just enough force to start it moving across a horizontal floor and the same force continues to act afterwards. If the coefficients of static and dynamic friction are 0.6 and 0.4 respectively, the acceleration of the body will be (Acceleration due to gravity = g)
A.
$\frac{g}{6.4}$
B.
0.64 g
C.
$\frac{g}{32}$
D.
0.2 g
IIT-JEE 2001 Q293 Errorless Critical Thinking-Friction MCQ
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha$ with the vertical, the maximum possible value of $\alpha$ is given by
A.
$\cot \alpha = 3$
B.
$\tan \alpha = 3$
C.
$\sec \alpha = 3$
D.
$\operatorname{cosec} \alpha = 3$
EAMCET (Med.) 2000; Odisha JEE 2008 Q294 Errorless Conservation of Linear Momentum and Impulse MCQ
A gun of mass 10kg fires 4 bullets per second. The mass of each bullet is 20 g and the velocity of the bullet when it leaves the gun is 300 ms $^{-1}$ . The force required to hold the gun while firing is
A.
6 N
B.
8 N
C.
24 N
D.
240 N
CBSE PMT 2000; Odisha JEE 2002; AIEEE 2004; Kerala PET 2005 Q295 Errorless Motion of Connected Bodies MCQ
Two masses of 5kg and 10kg are connected to a pulley as shown. What will be the acceleration of the system (g = acceleration due to gravity)
A.
g
B.
$\frac{g}{2}$
C.
$\frac{g}{3}$
D.
$\frac{g}{4}$
AMU (Engg.) 2000; Kerala PET 2010 Q296 Errorless Motion of Connected Bodies MCQ
Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force F applied on the upper string produces an acceleration of $2m/s^{2}$ in the upward direction in both the blocks. If T and $T'$ be the tensions in the two parts of the string, then $(g = 9.8\ m/s^{2})$
A.
T = 70.8N and $T' = 47.2N$
B.
T = 58.8N and $T' = 47.2N$
C.
T = 70.8N and $T' = 58.8N$
D.
T = 70.8N and $T' = 0$
MP PET 2000;J & K CET 2006; Odisha JEE 2009 Q297 Errorless Static and limiting friction MCQ
A block of mass 2 kg is kept on the floor. The coefficient of static friction is 0.4. If a force F of 2.5 Newtons is applied on the block as shown in the figure, the frictional force between the block and the floor will be
A.
2.5N
B.
5N
C.
7.84N
D.
10N
Pb. PMT 2000; NEET 2013 Q298 Errorless Motion on Inclined Surface MCQ
The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough. A body starting from the rest at top comes back to rest at the bottom if the coefficient of friction for the lower half is given by
A.
$\mu = \sin \theta$
B.
$\mu = \cot \theta$
C.
$\mu = 2\cos \theta$
D.
$\mu = 2\tan \theta$
JIPMER 2000; Kerala PET 2009 Q299 Errorless Motion on Inclined Surface MCQ
A body of mass 10 kg is lying on a rough plane inclined at an angle of $30^{\circ}$ to the horizontal and the coefficient of friction is 0.5. The minimum force required to pull the body up the plane is
A.
914 N
B.
91.4 N
C.
9.14 N
D.
0.914 N
AFMC 1999; CPMT 2000, 01 Q300 Errorless First law of Motion MCQ
When a bus suddenly takes a turn, the passengers are thrown outwards because of
A.
Inertia of direction
B.
Acceleration of motion
C.
Speed of motion
D.
Both