AFMC 1999; CBSE PMT 2000; CPMT 2001; DPMT 2003
Q301
Errorless
Second Law of Motion
MCQ
The average force necessary to stop a bullet of mass 20 g moving with a speed of 250 m/s, as it penetrates into the wood for a distance of 12 cm is
A.
$2.2 \times 10^{3} N$
B.
$3.2 \times 10^{3} N$
C.
$4.2 \times 10^{3} N$
D.
$5.2 \times 10^{3} N$
CBSE PMT 1999; MH CET 2003; Pb. PMT 2004
Q302
Errorless
Conservation of Linear Momentum and Impulse
MCQ
If force on a rocket having exhaust velocity of 300 m/sec is 210 N, then rate of combustion of the fuel is
A.
0.7 kg/s
B.
1.4 kg/s
C.
0.07 kg/s
D.
10.7 kg/s
BHU 1999; BCECE 2004
Q303
Errorless
Static and Limiting Friction
MCQ
To avoid slipping while walking on ice, one should take smaller steps because of the
A.
Friction of ice is large
B.
Larger normal reaction
C.
Friction of ice is small
D.
Smaller normal reaction
MP PMT 1999; Pb. PMT 2001, 04; AIEEE 2005; CBSE PMT (Mains) 2011; MP PET 2013
Q304
Errorless
Kinetic Friction
MCQ
Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of kinetic friction between the tyres and the road is 0.5, the shortest distance in which the car can be stopped is $[g = 10 \, ms^{-2}]$
A.
30 m
B.
40 m
C.
72 m
D.
20 m
JIPMER 1999; RPET 1999; AMU 2000; Kerala PMT 2006; AIIMS 2008; JEE (Main Online) 2018; JEE (Main) April 2024
Q305
Errorless
Motion on Inclined Surface
MCQ
A given object takes $n$ times as much time to slide down a $45^{\circ}$ rough incline as it takes to slide down a perfectly smooth $45^{\circ}$ incline. The coefficient of kinetic friction between the object and the incline is given by
A.
$\left(1 - \frac{1}{n^2}\right)$
B.
$\frac{1}{1 - n^2}$
C.
$\sqrt{\left(1 - \frac{1}{n^2}\right)}$
D.
$\sqrt{\frac{1}{1 - n^2}}$
MP PMT/PET 1998; RPET 2001; BHU 2001; MP PMT 2003
Q306
Errorless
Second Law of Motion
MCQ
n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be
A.
mnu
B.
2 mnu
C.
4 mnu
D.
$\frac{1}{2}$ mnu
CBSE PMT 1998; Odisha JEE 2009
Q307
Errorless
Conservation of Linear Momentum and Impulse
MCQ
A 5000 kg rocket is set for vertical firing. The exhaust speed is $800ms^{-1}$ . To give an initial upward acceleration of $20ms^{-2}$ , the amount of gas ejected per second to supply the needed thrust will be $(g=10ms^{-2})$
A.
$127.5 kg s^{-1}$
B.
$187.5 kg s^{-1}$
C.
$185.5 kg s^{-1}$
D.
$137.5 kg s^{-1}$
MP PMT/PET 1998; Odisha JEE 2008
Q308
Errorless
Motion of Connected Bodies
MCQ
Three blocks of masses $m_{1}, m_{2}$ and $m_{3}$ are connected by massless strings as shown on a frictionless table. They are pulled with a force $T_{3} = 40 N$ . If $m_{1} = 10 kg, m_{2} = 6 kg$ and $m_{3} = 4 kg$ , the tension $T_{2}$ will be
A.
$20N$
B.
$40N$
C.
$10N$
D.
$32N$
CPMT 1997; CBSE PMT 2006
Q309
Errorless
Conservation of Linear Momentum and Impulse
MCQ
A 100 g iron ball having velocity 10 m/s collides with a wall at an angle $30^{\circ}$ and rebounds with the same angle. If the period of contact between the ball and wall is 0.1 second, then the force experienced by the wall is
A.
10 N
B.
100 N
C.
1.0 N
D.
0.1 N
RPET 1997; RPMT 2005; BHU 2006
Q310
Errorless
Motion on Inclined Surface
MCQ
The coefficient of friction between a body and the surface of an inclined plane at $45^{\circ}$ is 0.5. If $g = 9.8 \, m/s^{2}$ , the acceleration of the body downwards in $m/s^{2}$ is
A.
$\frac{4.9}{\sqrt{2}}$
B.
$4.9\sqrt{2}$
C.
$19.6\sqrt{2}$
D.
4.9
CBSE PMT 1996, 2009; Odisha JEE 2011
Q311
Errorless
Second Law of Motion
MCQ
A force vector applied on a mass is represented as $\vec{F} = 6\hat{i} -8\hat{j} +10\hat{k}$ and accelerates with $1m / s^2$ . What will be the mass of the body
A.
$10\sqrt{2} kg$
B.
$2\sqrt{10} kg$
C.
$10~kg$
D.
$20~kg$
MP PMT 1996; AIEEE 2003
Q312
Errorless
Motion of Connected Bodies
MCQ
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block will be
A.
P
B.
$\frac{Pm}{M+m}$
C.
$\frac{PM}{M+m}$
D.
$\frac{Pm}{M-m}$
Manipal MEE 1995; MP PMT 1999, 2000; DCE 2000, 03, 09; Pb. PMT 2001, 04; CBSE PMT 2002, 03, 09; Kerala PET 2002, 08; DPMT 2003; Odisha JEE 2011; CBSE PMT (Pre.) 2011
Q313
Errorless
Second Law of Motion
MCQ
A person of mass 60 kg is inside a lift of mass 940 kg and presses the button one control panel. The lift starts moving upwards with an acceleration $1.0 \, m/s^{2}$ . If $g = 10 \, ms^{-2}$ , the tension in the supporting cable is
A.
1200 N
B.
8600 N
C.
9680 N
D.
11000 N
EAMCET (Med.) 1995;
Pb. PMT 1999; KCET 2000; MP PET 2002
Q314
Errorless
Second Law of Motion
MCQ
A body of mass 1.0kg is falling with an acceleration of 10 m/sec $^{2}$ . Its apparent weight will be (g = 10m/sec $^{2}$ )
A.
1.0 kg wt
B.
2.0 kg wt
C.
0.5 kg wt
D.
Zero
Manipal MEE 1995; MP PMT 2010
Q315
Errorless
Third Law of Motion
MCQ
Newton's third law of motion leads to the law of conservation of
A.
Angular momentum
B.
Energy
C.
Mass
D.
Momentum
EAMCET (Med.) 1995; DPMT 2000; Kerala (Engg.) 2000
Q316
Errorless
Motion of Connected Bodies
MCQ
A block of mass $m_{1}$ rests on a horizontal table. A string tied to the block is passed on a frictionless pulley fixed at the end of the table and to the other end of string is hung another block of mass $m_{2}$ . The acceleration of the system is
A.
$\frac{m_{2}g}{(m_{1}+m_{2})}$
B.
$\frac{m_{1}g}{(m_{1}+m_{2})}$
C.
g
D.
$\frac{m_{2}g}{m_{1}}$
AMU 1995; MH CET (Med.) 1999, 2001; Kerala PET 2007; MP PET 2013
Q317
Errorless
Kinetic Friction
MCQ
The maximum speed of a car on a road turn of radius 30m; if the coefficient of friction between the tyres and the road is 0.4; will be
A.
9.84 m/s
B.
10.84 m/s
C.
7.84 m/s
D.
5.84 m/s
IIT-JEE 1994
Q318
Advance
ARCHIVE: JEE ADVANCED
MCQ
A block of mass 0.1 kg is held against a wall by applying a horizontal force of 5 N on the block. If the coefficient of friction between the block and the wall is 0.5, then the magnitude of frictional force acting on the block is
A.
2.5 N
B.
0.98 N
C.
4.9 N
D.
0.49 N
IIT-JEE 1992
Q319
Advance
ARCHIVE: JEE ADVANCED
MCQ
A car is moving in a circular horizontal track of radius 10 m with a constant speed of $10 \, ms^{-1}$ . A plumb bob is suspended from the roof of the car by a light rigid rod of length 1 m. The angle made by the rod with the track is
A.
$0^{\circ}$
B.
$30^{\circ}$
C.
$45^{\circ}$
D.
$60^{\circ}$
IIT-JEE 1990
Q320
Advance
ARCHIVE: JEE ADVANCED
MCQ
When a bicycle is in motion and pedalled, the force of friction exerted by ground on the two wheels is such that it acts
A.
In the backward direction on the front wheel and in the forward direction on the rear wheel.
B.
In the forward direction on the front wheel and in the backward direction on the rear wheel.
C.
In the backward direction on both the front and the rear wheels.
D.
In the forward direction on both the front and the rear wheels.
IIT-JEE 1986
Q321
Advance
ARCHIVE: JEE ADVANCED
MSQ
A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits $-\phi$ and $+\phi$ . For an angular displacement $\theta(|\theta|<\phi)$ , the tension in the string and the velocity of the bob are T and V respectively. The following relations hold good under the above conditions
A.
$T \cos \theta = Mg$
B.
$T - Mg \cos \theta = \frac{MV^{2}}{L}$
C.
The magnitude of the tangential acceleration of the bob $\left|a_{T}\right|=g\sin\theta.$
D.
$T = Mg \cos \theta$
IIT-JEE 1986
Q322
Advance
ARCHIVE: JEE ADVANCED
MSQ
A reference frame attached to the earth
A.
is an inertial frame by definition.
B.
cannot be an inertial frame because of revolution of earth round the sun.
C.
is an inertial frame because Newton's laws are applicable in this frame.
D.
cannot be an inertial frame because of rotation of earth about its own axis.
IIT-JEE 1980
Q323
Advance
ARCHIVE: JEE ADVANCED
MCQ
A block of mass 2 kg rests on a rough inclined plane making an angle of $30^{\circ}$ with the horizontal. The coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is
A.
9.8 N
B.
$0.7 \times 9.8$ N
C.
$9.8 \times \sqrt{3}$ N
D.
$0.7 \times 9.8 \times \sqrt{3}$ N
IIT-JEE 1980
Q324
Advance
ARCHIVE: JEE ADVANCED
MCQ
A ship of mass $3 \times 10^{7}$ kg, initially at rest, is pulled by a force of $5 \times 10^{4}$ N through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is
A.
$1.5 \, ms^{-1}$
B.
$60 \, ms^{-1}$
C.
$0.1 \, ms^{-1}$
D.
$5 \, ms^{-1}$
Q325
Allen
Newtons Laws of Motion
MCQ
A ball of mass m kept at the corner as shown in the figure, is acted by a horizontal force F. The correct free body diagram of ball is
A.
B.
C.
D.
