Two spherical balls having equal masses with radius of $5 \mathrm{~cm}$ each are thrown upwards along the same vertical direction at an interval of $3 \mathrm{~s}$ with the same initial velocity of $35 \mathrm{~m} / \mathrm{s}$, then these balls collide at a height of $\mathrm{m} .\left(\right.$ Take $\left.\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)$
When both balls will collied
$\mathrm{y}_{1}=\mathrm{y}_{2}$
$35 \mathrm{t}-\frac{1}{2} \times 10 \times \mathrm{t}^{2}=35(\mathrm{t}-3)-\frac{1}{2} \times 10 \times(\mathrm{t}-3)^{2}$
$35 \mathrm{t}-\frac{1}{2} \times 10 \times \mathrm{t}^{2}=35 \mathrm{t}-105-\frac{1}{2} \times 10 \times \mathrm{t}^{2}$
$-\frac{1}{2} \times 10 \times 3^{2}+\frac{1}{2} \times 10 \times 6 \mathrm{t}$
$0=150-30 t$
$t=5 \mathrm{sec}$
$\therefore$ Height at which both balls will collied
$h=35 t-\frac{1}{2} \times 10 \times t^{2}$
$=35 \times 5-\frac{1}{2} \times 10 \times 5^{2}$
$h=50 \mathrm{~m}$
Ans. $50.00$
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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,