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Question: The splash is heard after 4.22 sec after the stone is dropped in to a well of depth 78.4 m.Find the velocity of the sound. Solution: Introduction: The study of speed of sound is crucial for scientific and engineering disciplines in meteorology,it helps in understanding atmospheric conditions and predicting weather patterns.By delving into the…
Question: The driver of a three-wheeler moving with a speed of 36 Kmh-1 sees a child standing in the middle of the road and brings his vehicle to rest in 4.0 s just in time to save the child.What is the average retarding force on the vehicle? The mass of the three-wheeler is 400 Kg…
Question: A constant retarding force of 50 N is applied to a body of mass 20 Kg moving initially with a speed of 15 ms-1 .How long does the body take to stop? Solution: Stopping time calculation: Calculating the acceleration: $${Acceleration =\frac{Force}{Mass}}$$ $${Acceleration =\frac {50 \ N}{20 \ Kg}}$$ $${Acceleration= 2.5 \ \frac{m}{s^2}}$$ Retardation: Retardation…
Question: Determine tha angle formed at the middle of the string where a block of mass $${\sqrt2 \ m}$$ is hanging as shown below where the pulleys are smooth and the string used is inextensible. Solution: Free body diagram of the blocks of different masses: Equilibrium at the mid-point: Equilibrium refers to the situation when…
Question: A pulley with two blocks of different masses are shown below.Find the acceleration in the pulley-block system. Solution: Acceleration in the pulley-block system: Free body Diagram: For 1 Kg block: Force of gravity = m1 g = 1 g Tension in the string = T For 3 Kg block : Force of gravity =…