Gce Model Questions Vol1 2024 Physics Question 50

Practice objective / multiple choice question 50 from the 2024 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2024 Physics Objective / Multiple Choice Medium Difficulty
Question 50 GCE_MODEL_QUESTIONS_VOL1 • 2024 • PHYSICS • objective
Gce Model Questions Vol1 2024 Physics Question 50 diagram

A 3 kg block rests on a frictionless horizontal table. It is attached to a spring fixed to the left wall; the spring constant is \(k=150\,\text{N m}^{-1}\) and is initially uncompressed. The block is connected by a light inextensible string over a frictionless pulley at the right edge of the table to a hanging mass of 2 kg. The system is released from rest. (a) Find the initial acceleration of the system. (b) Determine the speed of the block when the spring has been compressed by \(0.20\,\text{m}\). (c) Find the maximum compression of the spring before the block momentarily comes to rest.

Answer Options

A. a = 3.70 m s⁻¹, v ≈ 0.68 m s⁻¹ at 0.20 m compression, maximum compression ≈ 0.280 m
B. a = 4.10 m s⁻¹, v ≈ 0.55 m s⁻¹ at 0.20 m compression, maximum compression ≈ 0.240 m
Correct Answer C. a = 3.92 m s⁻¹, v ≈ 0.61 m s⁻¹ at 0.20 m compression, maximum compression ≈ 0.261 m
D. a = 3.85 m s⁻¹, v ≈ 0.61 m s⁻¹ at 0.20 m compression, maximum compression ≈ 0.300 m
Correct Answer
C
Correct Option:
a = 3.92 m s⁻¹, v ≈ 0.61 m s⁻¹ at 0.20 m compression, maximum compression ≈ 0.261 m

About This Question

This is Gce Model Questions Vol1 2024 Physics Question 50. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Physics examination.

Difficulty level: Medium .

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