A rigid block of mass m1 = 10 kg having velocity v0 = 2 m/s strikes a stationary block of mass m2 = 30 kg after travelling 1 m along a frictionless horizontal surface as shown in the figure.The two masses stick together and jointly move by a distance of 0.25 m further along the same frictionless surface, before they touch the mass-less buffer that is connected to the rigid vertical wall by means of a linear spring having a spring constant k = 105 N/m.The maximum deflection of the spring is _________ cm (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer?

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A rigid block of mass m₁ = 10 kg having velocity v₀ = 2 m/s strikes a stationary block of mass m₂= 30 kg after travelling 1 m along a frictionless horizontal surface as shown in the figure.

The two masses stick together and jointly move by a distance of 0.25 m further along the same frictionless surface, before they touch the mass-less buffer that is connected to the rigid vertical wall by means of a linear spring having a spring constant k = 10⁵ N/m.
The maximum deflection of the spring is _________ cm (round off to 2 decimal places).

Correct answer is '1'. Can you explain this answer?

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Past Year Paper - Mechanical Engineering GATE : 2020 (Session - 2)

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A rigid block of mass m1 = 10 kg having velocity v0 = 2 m/s strikes a ...

Collision Theory
Conservation of momentum,
m₁ × v₀ + m₂ × 0 = (m₁ + m₂) × v
10 × 2 = (10 + 30)v
20 = 40v
v = 0.5 m/s
Now,

10 = 10⁵ × x²
⇒

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A rigid block of mass m1 = 10 kg having velocity v0 = 2 m/s strikes a stationary block of mass m2 = 30 kg after travelling 1 m along a frictionless horizontal surface as shown in the figure.The two masses stick together and jointly move by a distance of 0.25 m further along the same frictionless surface, before they touch the mass-less buffer that is connected to the rigid vertical wall by means of a linear spring having a spring constant k = 105 N/m.The maximum deflection of the spring is _________ cm (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer?

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A rigid block of mass m1 = 10 kg having velocity v0 = 2 m/s strikes a stationary block of mass m2 = 30 kg after travelling 1 m along a frictionless horizontal surface as shown in the figure.The two masses stick together and jointly move by a distance of 0.25 m further along the same frictionless surface, before they touch the mass-less buffer that is connected to the rigid vertical wall by means of a linear spring having a spring constant k = 105 N/m.The maximum deflection of the spring is _________ cm (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A rigid block of mass m1 = 10 kg having velocity v0 = 2 m/s strikes a stationary block of mass m2 = 30 kg after travelling 1 m along a frictionless horizontal surface as shown in the figure.The two masses stick together and jointly move by a distance of 0.25 m further along the same frictionless surface, before they touch the mass-less buffer that is connected to the rigid vertical wall by means of a linear spring having a spring constant k = 105 N/m.The maximum deflection of the spring is _________ cm (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rigid block of mass m1 = 10 kg having velocity v0 = 2 m/s strikes a stationary block of mass m2 = 30 kg after travelling 1 m along a frictionless horizontal surface as shown in the figure.The two masses stick together and jointly move by a distance of 0.25 m further along the same frictionless surface, before they touch the mass-less buffer that is connected to the rigid vertical wall by means of a linear spring having a spring constant k = 105 N/m.The maximum deflection of the spring is _________ cm (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer?.

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