2025
Q1. State and explain Newton’s three laws of motion with examples.
Q2. A block of mass 2 kg is placed on a horizontal surface with coefficient of friction μ=0.4. Calculate the force required to move the block with uniform velocity.
Q3. A car accelerates from rest with constant acceleration a=2m/s2. Find the force required if the mass of the car is 1000 kg.
2024
Q1. Define impulse and derive the relation between force, time, and change in momentum.
Q2. A 50 kg person stands in an elevator. If the elevator accelerates upward at 2m/s2, find the normal force exerted on the person.
Q3. Two blocks, one of mass 5 kg and the other of mass 3 kg, are connected by a string on a frictionless surface. A force of 24 N is applied to the 5 kg block. Find the acceleration of the system and the tension in the string.
2023
Q1. A ball of mass 0.5 kg is thrown vertically upwards with a velocity of 10 m/s. Calculate the time taken for it to come to rest and the maximum height attained.
Q2. A 5 kg object experiences a constant force of 10 N. Calculate the acceleration of the object.
Q3. A man of mass 60 kg stands on a platform that moves with a uniform velocity of 2 m/s. What is the force on the platform due to the man’s motion?
2022
Q1. A body is moving in a circular path with constant speed. Does the object experience any force? Justify your answer.
Q2. A block of mass 10 kg is acted upon by two forces: 20 N and 10 N. The angle between the two forces is 90°. Find the magnitude of the resultant force.
Q3. A stone of mass 2 kg is thrown horizontally from a height of 5 m with a speed of 3 m/s. Calculate the time of flight and horizontal range.
2021
Q1. Derive the expression for the work-energy theorem.
Q2. A body of mass 4 kg is moving with velocity v=5m/s. Find its momentum and the force required to stop it in 2 s.
Q3. A body of mass 1.5 kg moves with velocity v=6m/s. Calculate the kinetic energy of the body.
2020
Q1. Explain the concept of inertia with examples.
Q2. A bullet of mass 0.01 kg is fired with velocity 400 m/s. What is its momentum?
Q3. A 2-kg object is hanging from a spring. If the spring constant is 100 N/m, calculate the elongation produced in the spring.
2019
Q1. A body of mass 2 kg is acted upon by two forces: 10 N and 15 N. Calculate the resultant force when the angle between them is 60°.
Q2. State and explain the law of conservation of momentum with examples.
Q3. A force of 10 N is applied on a body of mass 5 kg. What is the acceleration of the body?
2018
Q1. A bullet of mass 0.02 kg is fired from a gun with velocity 200 m/s. If the gun is of mass 2 kg, find the recoil velocity of the gun.
Q2. A body of mass 5 kg is acted upon by two forces of 10 N and 20 N. The angle between them is 90°. Calculate the magnitude of the resultant force.
Q3. A force of 5 N is applied to a 2-kg body. What will be the acceleration of the body?
2017
Q1. A ball of mass 0.5 kg is moving with velocity 10 m/s. Calculate its momentum.
Q2. Define the term “impulse” and explain its relationship with momentum.
Q3. A body of mass 1.5 kg is moving with velocity v=4m/s. Calculate the kinetic energy and the force required to stop the body in 5 s.
2016
Q1. A 10-kg object is moving with velocity 15 m/s. Calculate its kinetic energy.
Q2. A force of 12 N is applied to a body of mass 3 kg. Find the acceleration of the body.
Q3. A body of mass 2 kg is thrown vertically upwards with velocity 20 m/s. Find the maximum height attained by the body.
2015
Q1. State Newton’s second law of motion and derive the relation F=ma.
Q2. A body of mass 2 kg is moving with a velocity of 4 m/s. Calculate the momentum of the body.
Q3. A 5-kg object is acted upon by a force of 20 N. Calculate the acceleration of the object.
2014
Q1. Define inertia and give examples.
Q2. A 10-kg body is acted upon by a force of 20 N. Calculate the acceleration produced.
Q3. A body of mass 3 kg is moving with velocity v=5m/s. Find the kinetic energy of the body.
2013
Q1. State and explain the third law of motion with an example.
Q2. A force of 5 N is applied to a body of mass 10 kg. What is the acceleration produced in the body?
Q3. A body of mass 6 kg is moving with velocity 2 m/s. Find its momentum.
Laws of Motion — Solutions (2025 → 2013)
2025
Q1. Newton’s Laws of Motion
- First law (Inertia): A body remains at rest or in uniform motion unless acted upon by an external force. Example: A book on a table stays at rest until pushed.
- Second law: F=ma → Force applied on a body produces acceleration proportional to it and inversely proportional to mass.
- Third law: For every action, there is an equal and opposite reaction. Example: Recoil of a gun.
Q2. Block on horizontal surface:F=μmg=0.4∗2∗10=8N
Q3. Force on accelerating car:F=ma=1000∗2=2000N
2024
Q1. Impulse J=FΔt=Δp, change in momentum = force × time
Q2. Normal force in elevator:N=m(g+a)=50(10+2)=50∗12=600N
Q3. Two blocks:
- Total mass = 5+3 = 8 kg
- Acceleration: a=F/m=24/8=3m/s²
- Tension in string: T=m2∗a=3∗3=9N
2023
Q1. Vertical throw:
- Time to rest: t=u/g=10/10=1s
- Max height: h=u2/(2g)=100/20=5m
Q2. Acceleration: a=F/m=10/5=2m/s²
Q3. Force on platform with uniform velocity = 0 N (no acceleration)
2022
Q1. Circular motion: centripetal acceleration exists → requires centripetal force directed towards center
Q2. Resultant of two perpendicular forces: R=F12+F22=202+102=500≈22.36N
Q3. Horizontal projectile:
- Time: t=2h/g=10/10=1 s? Wait carefully: h=5 m → t = √(2*5/10)=√1=1 s
- Horizontal range: R = ut = 31 = 3 m ✅
2021
Q1. Work-energy theorem: W=ΔKE=21mv2−21mu2
Q2. Momentum: p = mv = 4*5 = 20 kg·m/s
Force to stop in 2 s: F = Δp/Δt = 20/2 = 10 N
Q3. KE = ½ mv² = ½1.56² = 0.75*36 = 27 J
2020
Q1. Inertia = tendency of body to resist change in motion. Example: Seatbelt stops you when car brakes.
Q2. Momentum = mv = 0.01400 = 4 kg·m/s
Q3. Spring elongation: F = kx → x = F/k = mg/k = 2*10/100 = 0.2 m
2019
Q1. Resultant of two forces at 60°:R=F12+F22+2F1F2cosθ=100+225+150=475≈21.79N
Q2. Law of conservation of momentum: Total momentum before = total momentum after. Example: Collision of two ice skaters.
Q3. Acceleration: a = F/m = 10/5 = 2 m/s²
2018
Q1. Recoil velocity of gun:
- Momentum conservation: m_bulletv_bullet = m_gunv_gun
vgun=(0.02∗200)/2=2/2=1 m/s
Q2. Resultant force (perpendicular): R=102+202=500≈22.36 N
Q3. Acceleration: a = F/m = 5/2 = 2.5 m/s²
2017
Q1. Momentum: p = mv = 0.5*10 = 5 kg·m/s
Q2. Impulse J = Δp = F Δt
Q3. KE = ½ mv² = ½1.516=12 J
Force to stop in 5 s: F = Δp/Δt = 6/5=1.2 N
2016
Q1. KE = ½ mv² = ½1015² = 5*225 = 1125 J
Q2. a = F/m = 12/3 = 4 m/s²
Q3. Maximum height: h=u2/(2g)=400/20=20 m
2015
Q1. F = ma derived from definition of acceleration and Newton’s second law ✅
Q2. Momentum: p = mv = 2*4 = 8 kg·m/s
Q3. Acceleration: a = F/m = 20/5 = 4 m/s²
2014
Q1. Inertia = resistance to motion. Example: Book on table stays at rest
Q2. a = F/m = 20/10 = 2 m/s²
Q3. KE = ½ mv² = ½325=37.5 J
2013
Q1. Third law: Action = -Reaction. Example: Push on wall → wall pushes back
Q2. a = F/m = 5/10 = 0.5 m/s²
Q3. Momentum = mv = 62 = 12 kg·m/s