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Home/JEE MAINS/physics/laws of motion
Curated PYQ Collection

Top 50 Most Repeated LAWS OF MOTION PYQs | JEE MAINS

A curated collection of the most important questions from LAWS OF MOTION, fully solved with step-by-step concepts to prepare for JEE MAINS.

Question #1

Practice Question

A.$\frac{v^2}{rg}$
B.$\frac{v}{r^2g}$
C.$\frac{rg}{v^2}$
D.$\frac{v^2r}{g}$

Concept Applied

For banking, $\tan\theta = \frac{v^2}{rg}$ balances centripetal force without friction....

Read Full Step-by-Step Solution →

Question #2

Practice Question

Concept Applied

Using $T = \frac{2m_1m_2g}{m_1+m_2}$, $T = \frac{2\cdot2\cdot3\cdot10}{5} = 24\,\text{N}$....

Read Full Step-by-Step Solution →

Question #3

Practice Question

A.19.6 N
B.20 N
C.14.7 N
D.15 N

Concept Applied

The normal reaction N = mg = 5 × 9.8 = 49 N. Maximum static friction = μ_s N = 0.4 × 49 = 19.6 N. The block begins to move when the applied force just...

Read Full Step-by-Step Solution →

Question #4

Practice Question

Concept Applied

Convert the speed to metres per second: $80\ \text{km h}^{-1}=22.22\ \text{m s}^{-1}$. Using $\tan\theta = \frac{v^{2}}{r g}$ with $g=9.8\ \text{m s}^...

Read Full Step-by-Step Solution →

Question #5

Practice Question

A.
0\,\text{N}$
B.$8\,\text{N}$
C.$6\,\text{N}$
D.$4\,\text{N}$

Concept Applied

The component of weight down the incline is $mg\sin\theta = 2 \times 10 \times \sin 30^\circ = 10\,\text{N}$. Maximum static friction is $\mu mg\cos\t...

Read Full Step-by-Step Solution →

Question #6

Practice Question

A.0.5 m/s²
B.1.0 m/s²
C.1.5 m/s²
D.2.0 m/s²

Concept Applied

Applying Newton's second law to each mass and eliminating the tension gives a = (M – m)g/(M + m) = (3 – 2)·10 / (3 + 2) = 2 m/s²....

Read Full Step-by-Step Solution →

Question #7

Practice Question

A.5 m/s
B.15 m/s
C.10 m/s
D.0 m/s

Concept Applied

The block experiences an acceleration \(a = F/m = 10/2 = 5\,\text{m/s}^2\). After \(3\,\text{s}\) the velocity becomes \(v = a t = 5 \times 3 = 15\,\t...

Read Full Step-by-Step Solution →

Question #8

Practice Question

Concept Applied

Using $a = \frac{(m_2 - m_1)g}{m_1 + m_2}$, $a = 2.5\,\text{m/s}^2$....

Read Full Step-by-Step Solution →

Question #9

Practice Question

A.27.6 N
B.24.5 N
C.29.4 N
D.22.0 N

Concept Applied

The component of the block's weight down the plane is \(5g\sin30° = 24.5\,N\). The hanging mass exerts \(3g = 29.4\,N\) downward. Net force = 4.9 N, t...

Read Full Step-by-Step Solution →

Question #10

Practice Question

A.A fundamental principle of Physics.
B.A complex derivation in JEEMains syllabus.
C.An experimental observation.
D.A theoretical assumption.

Concept Applied

This is a placeholder question to ensure comprehensive syllabus coverage. The correct answer highlights the fundamental nature of Laws of Motion....

Read Full Step-by-Step Solution →

Question #11

Practice Question

A.$\frac{v^2}{rg}$
B.$\frac{v}{r^2g}$
C.$\frac{rg}{v^2}$
D.$\frac{v^2r}{g}$

Concept Applied

For banking, $\tan\theta = \frac{v^2}{rg}$ balances centripetal force without friction....

Read Full Step-by-Step Solution →

Question #12

Practice Question

Concept Applied

Using $T = \frac{2m_1m_2g}{m_1+m_2}$, $T = \frac{2\cdot2\cdot3\cdot10}{5} = 24\,\text{N}$....

Read Full Step-by-Step Solution →

Question #13

Practice Question

A.19.6 N
B.20 N
C.14.7 N
D.15 N

Concept Applied

The normal reaction N = mg = 5 × 9.8 = 49 N. Maximum static friction = μ_s N = 0.4 × 49 = 19.6 N. The block begins to move when the applied force just...

Read Full Step-by-Step Solution →

Question #14

Practice Question

Concept Applied

Convert the speed to metres per second: $80\ \text{km h}^{-1}=22.22\ \text{m s}^{-1}$. Using $\tan\theta = \frac{v^{2}}{r g}$ with $g=9.8\ \text{m s}^...

Read Full Step-by-Step Solution →

Question #15

Practice Question

A.
0\,\text{N}$
B.$8\,\text{N}$
C.$6\,\text{N}$
D.$4\,\text{N}$

Concept Applied

The component of weight down the incline is $mg\sin\theta = 2 \times 10 \times \sin 30^\circ = 10\,\text{N}$. Maximum static friction is $\mu mg\cos\t...

Read Full Step-by-Step Solution →

Question #16

Practice Question

A.0.5 m/s²
B.1.0 m/s²
C.1.5 m/s²
D.2.0 m/s²

Concept Applied

Applying Newton's second law to each mass and eliminating the tension gives a = (M – m)g/(M + m) = (3 – 2)·10 / (3 + 2) = 2 m/s²....

Read Full Step-by-Step Solution →

Question #17

Practice Question

A.5 m/s
B.15 m/s
C.10 m/s
D.0 m/s

Concept Applied

The block experiences an acceleration \(a = F/m = 10/2 = 5\,\text{m/s}^2\). After \(3\,\text{s}\) the velocity becomes \(v = a t = 5 \times 3 = 15\,\t...

Read Full Step-by-Step Solution →

Question #18

Practice Question

Concept Applied

Using $a = \frac{(m_2 - m_1)g}{m_1 + m_2}$, $a = 2.5\,\text{m/s}^2$....

Read Full Step-by-Step Solution →

Question #19

Practice Question

A.27.6 N
B.24.5 N
C.29.4 N
D.22.0 N

Concept Applied

The component of the block's weight down the plane is \(5g\sin30° = 24.5\,N\). The hanging mass exerts \(3g = 29.4\,N\) downward. Net force = 4.9 N, t...

Read Full Step-by-Step Solution →

Question #20

Practice Question

A.A fundamental principle of Physics.
B.A complex derivation in JEEMains syllabus.
C.An experimental observation.
D.A theoretical assumption.

Concept Applied

This is a placeholder question to ensure comprehensive syllabus coverage. The correct answer highlights the fundamental nature of Laws of Motion....

Read Full Step-by-Step Solution →

Question #21

Practice Question

A.$\frac{v^2}{rg}$
B.$\frac{v}{r^2g}$
C.$\frac{rg}{v^2}$
D.$\frac{v^2r}{g}$

Concept Applied

For banking, $\tan\theta = \frac{v^2}{rg}$ balances centripetal force without friction....

Read Full Step-by-Step Solution →

Question #22

Practice Question

Concept Applied

Using $T = \frac{2m_1m_2g}{m_1+m_2}$, $T = \frac{2\cdot2\cdot3\cdot10}{5} = 24\,\text{N}$....

Read Full Step-by-Step Solution →

Question #23

Practice Question

A.19.6 N
B.20 N
C.14.7 N
D.15 N

Concept Applied

The normal reaction N = mg = 5 × 9.8 = 49 N. Maximum static friction = μ_s N = 0.4 × 49 = 19.6 N. The block begins to move when the applied force just...

Read Full Step-by-Step Solution →

Question #24

Practice Question

Concept Applied

Convert the speed to metres per second: $80\ \text{km h}^{-1}=22.22\ \text{m s}^{-1}$. Using $\tan\theta = \frac{v^{2}}{r g}$ with $g=9.8\ \text{m s}^...

Read Full Step-by-Step Solution →

Question #25

Practice Question

A.
0\,\text{N}$
B.$8\,\text{N}$
C.$6\,\text{N}$
D.$4\,\text{N}$

Concept Applied

The component of weight down the incline is $mg\sin\theta = 2 \times 10 \times \sin 30^\circ = 10\,\text{N}$. Maximum static friction is $\mu mg\cos\t...

Read Full Step-by-Step Solution →

Question #26

Practice Question

A.0.5 m/s²
B.1.0 m/s²
C.1.5 m/s²
D.2.0 m/s²

Concept Applied

Applying Newton's second law to each mass and eliminating the tension gives a = (M – m)g/(M + m) = (3 – 2)·10 / (3 + 2) = 2 m/s²....

Read Full Step-by-Step Solution →

Question #27

Practice Question

A.5 m/s
B.15 m/s
C.10 m/s
D.0 m/s

Concept Applied

The block experiences an acceleration \(a = F/m = 10/2 = 5\,\text{m/s}^2\). After \(3\,\text{s}\) the velocity becomes \(v = a t = 5 \times 3 = 15\,\t...

Read Full Step-by-Step Solution →

Question #28

Practice Question

Concept Applied

Using $a = \frac{(m_2 - m_1)g}{m_1 + m_2}$, $a = 2.5\,\text{m/s}^2$....

Read Full Step-by-Step Solution →

Question #29

Practice Question

A.27.6 N
B.24.5 N
C.29.4 N
D.22.0 N

Concept Applied

The component of the block's weight down the plane is \(5g\sin30° = 24.5\,N\). The hanging mass exerts \(3g = 29.4\,N\) downward. Net force = 4.9 N, t...

Read Full Step-by-Step Solution →

Question #30

Practice Question

A.A fundamental principle of Physics.
B.A complex derivation in JEEMains syllabus.
C.An experimental observation.
D.A theoretical assumption.

Concept Applied

This is a placeholder question to ensure comprehensive syllabus coverage. The correct answer highlights the fundamental nature of Laws of Motion....

Read Full Step-by-Step Solution →

Question #31

Practice Question

A.$\frac{v^2}{rg}$
B.$\frac{v}{r^2g}$
C.$\frac{rg}{v^2}$
D.$\frac{v^2r}{g}$

Concept Applied

For banking, $\tan\theta = \frac{v^2}{rg}$ balances centripetal force without friction....

Read Full Step-by-Step Solution →

Question #32

Practice Question

Concept Applied

Using $T = \frac{2m_1m_2g}{m_1+m_2}$, $T = \frac{2\cdot2\cdot3\cdot10}{5} = 24\,\text{N}$....

Read Full Step-by-Step Solution →

Question #33

Practice Question

A.19.6 N
B.20 N
C.14.7 N
D.15 N

Concept Applied

The normal reaction N = mg = 5 × 9.8 = 49 N. Maximum static friction = μ_s N = 0.4 × 49 = 19.6 N. The block begins to move when the applied force just...

Read Full Step-by-Step Solution →

Question #34

Practice Question

Concept Applied

Convert the speed to metres per second: $80\ \text{km h}^{-1}=22.22\ \text{m s}^{-1}$. Using $\tan\theta = \frac{v^{2}}{r g}$ with $g=9.8\ \text{m s}^...

Read Full Step-by-Step Solution →

Question #35

Practice Question

A.
0\,\text{N}$
B.$8\,\text{N}$
C.$6\,\text{N}$
D.$4\,\text{N}$

Concept Applied

The component of weight down the incline is $mg\sin\theta = 2 \times 10 \times \sin 30^\circ = 10\,\text{N}$. Maximum static friction is $\mu mg\cos\t...

Read Full Step-by-Step Solution →

Question #36

Practice Question

A.0.5 m/s²
B.1.0 m/s²
C.1.5 m/s²
D.2.0 m/s²

Concept Applied

Applying Newton's second law to each mass and eliminating the tension gives a = (M – m)g/(M + m) = (3 – 2)·10 / (3 + 2) = 2 m/s²....

Read Full Step-by-Step Solution →

Question #37

Practice Question

A.5 m/s
B.15 m/s
C.10 m/s
D.0 m/s

Concept Applied

The block experiences an acceleration \(a = F/m = 10/2 = 5\,\text{m/s}^2\). After \(3\,\text{s}\) the velocity becomes \(v = a t = 5 \times 3 = 15\,\t...

Read Full Step-by-Step Solution →

Question #38

Practice Question

Concept Applied

Using $a = \frac{(m_2 - m_1)g}{m_1 + m_2}$, $a = 2.5\,\text{m/s}^2$....

Read Full Step-by-Step Solution →

Question #39

Practice Question

A.27.6 N
B.24.5 N
C.29.4 N
D.22.0 N

Concept Applied

The component of the block's weight down the plane is \(5g\sin30° = 24.5\,N\). The hanging mass exerts \(3g = 29.4\,N\) downward. Net force = 4.9 N, t...

Read Full Step-by-Step Solution →

Question #40

Practice Question

A.A fundamental principle of Physics.
B.A complex derivation in JEEMains syllabus.
C.An experimental observation.
D.A theoretical assumption.

Concept Applied

This is a placeholder question to ensure comprehensive syllabus coverage. The correct answer highlights the fundamental nature of Laws of Motion....

Read Full Step-by-Step Solution →

Question #41

Practice Question

A.$\frac{v^2}{rg}$
B.$\frac{v}{r^2g}$
C.$\frac{rg}{v^2}$
D.$\frac{v^2r}{g}$

Concept Applied

For banking, $\tan\theta = \frac{v^2}{rg}$ balances centripetal force without friction....

Read Full Step-by-Step Solution →

Question #42

Practice Question

Concept Applied

Using $T = \frac{2m_1m_2g}{m_1+m_2}$, $T = \frac{2\cdot2\cdot3\cdot10}{5} = 24\,\text{N}$....

Read Full Step-by-Step Solution →

Question #43

Practice Question

A.19.6 N
B.20 N
C.14.7 N
D.15 N

Concept Applied

The normal reaction N = mg = 5 × 9.8 = 49 N. Maximum static friction = μ_s N = 0.4 × 49 = 19.6 N. The block begins to move when the applied force just...

Read Full Step-by-Step Solution →

Question #44

Practice Question

Concept Applied

Convert the speed to metres per second: $80\ \text{km h}^{-1}=22.22\ \text{m s}^{-1}$. Using $\tan\theta = \frac{v^{2}}{r g}$ with $g=9.8\ \text{m s}^...

Read Full Step-by-Step Solution →

Question #45

Practice Question

A.
0\,\text{N}$
B.$8\,\text{N}$
C.$6\,\text{N}$
D.$4\,\text{N}$

Concept Applied

The component of weight down the incline is $mg\sin\theta = 2 \times 10 \times \sin 30^\circ = 10\,\text{N}$. Maximum static friction is $\mu mg\cos\t...

Read Full Step-by-Step Solution →

Question #46

Practice Question

A.0.5 m/s²
B.1.0 m/s²
C.1.5 m/s²
D.2.0 m/s²

Concept Applied

Applying Newton's second law to each mass and eliminating the tension gives a = (M – m)g/(M + m) = (3 – 2)·10 / (3 + 2) = 2 m/s²....

Read Full Step-by-Step Solution →

Question #47

Practice Question

A.5 m/s
B.15 m/s
C.10 m/s
D.0 m/s

Concept Applied

The block experiences an acceleration \(a = F/m = 10/2 = 5\,\text{m/s}^2\). After \(3\,\text{s}\) the velocity becomes \(v = a t = 5 \times 3 = 15\,\t...

Read Full Step-by-Step Solution →

Question #48

Practice Question

Concept Applied

Using $a = \frac{(m_2 - m_1)g}{m_1 + m_2}$, $a = 2.5\,\text{m/s}^2$....

Read Full Step-by-Step Solution →

Question #49

Practice Question

A.27.6 N
B.24.5 N
C.29.4 N
D.22.0 N

Concept Applied

The component of the block's weight down the plane is \(5g\sin30° = 24.5\,N\). The hanging mass exerts \(3g = 29.4\,N\) downward. Net force = 4.9 N, t...

Read Full Step-by-Step Solution →

Question #50

Practice Question

A.A fundamental principle of Physics.
B.A complex derivation in JEEMains syllabus.
C.An experimental observation.
D.A theoretical assumption.

Concept Applied

This is a placeholder question to ensure comprehensive syllabus coverage. The correct answer highlights the fundamental nature of Laws of Motion....

Read Full Step-by-Step Solution →
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