Question:
A car moving at $40 \mathrm{~km} / \mathrm{h}$ is to be stopped by applying brakes in the next $4.0 \mathrm{~m}$. If the car weighs 2000 $\mathrm{kg}$, what average force must be applied on it?
Solution:
$u=40 \mathrm{~km} / \mathrm{hr}=\frac{40 \times 1000}{60 \times 60} \mathrm{~m} / \mathrm{s}=\frac{100}{a} \mathrm{~m} / \mathrm{s}$
By law of kinematics,
$v^{2}=u^{2}+2 a s$
$0=\left(\frac{100}{a}\right)^{2}+2 a \cdot 4$
$(v=0)$
$a=15.432 \mathrm{~m} / \mathrm{s}^{2}$
$F=m a=2000 \times 15.432=3.086 \times 10^{4} \mathrm{~N}$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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