Question:
A $60 \mathrm{~kg}$ man skating with a speed of $10 \mathrm{~m} / \mathrm{s}$ collides with a $40 \mathrm{~kg}$ skater at rest and they cling to each other. Find the loss of kinetic energy during the collision.
Solution:
$m_{1}=60, v_{1}=10, m_{2}=40, v_{2}=0, V=v_{\text {final }}$
Use C.O.L.M
$60 \times 10+0=(60+40) \mathrm{V}$
$V=\frac{600}{100}=6$
$\Delta K \cdot E_{\text {loss }}=\left|\frac{1}{2} \times 100 \times 6^{2}-\frac{1}{2} \times 60 \times 100\right|$
$\Delta K . E_{\text {loss }}=\left\lfloor\frac{1}{2} \times 100 \times 6^{2}-\frac{1}{2} \times 60 \times 100\right\rfloor$
$=|1800-3000|$
$=1200 \mathrm{~J}$
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- 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
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- Atoms
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