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A mass m = 0.25 kg is dropped at rest on top of an inclined plane of 0 = 30°, free of friction, of length L. The mass, after a straight stretch of length d = 5 m, stops after compressing a spring of elastic constant k = 60 N/m, of x = 0.5 m. How much is L? It is now present along the inclined plane and the straight section a friction with μd = 0.2. From what height L' must fall the block to have the same compression of the spring? "Il

A mass m = 0.25 kg is dropped at rest on top of an inclined plane of 0 = 30°, free of friction, of length L. The mass, after a straight stretch of length d = 5 m, stops after compressing a spring of elastic constant k = 60 N/m, of x = 0.5 m. How much is L? It is now present along the inclined plane and the straight section a friction with μd = 0.2. From what height L' must fall the block to have the same compression of the spring? "Il

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Q2 EC Answer step-wise with detailed explantions (a) A mass m = 0.25 kg is dropped at rest on top of an inclined plane of 0 = 30°, free of friction, of length L. The mass, after a straight stretch of length d = 5 m, stops after compressing a spring of elastic constant k = 60 N/m, of x = 0.5 m. How much is L ? It is now present along the inclined plane and the straight section a friction with μd = 0.2. From what height L' must fall the block to have the same compression of the spring? (b) A material point is abandoned with speed vo = 0 m/s on the edge of a hemispherical vessel of radius r = 25 cm, with smooth walls. What speed will it have when it passes through lowest point H? Which is the speed of the material point when it passes through lowest point H, if it starts from the position A ( 0 = 35°)?
Transcribed Image Text:Q2 EC Answer step-wise with detailed explantions (a) A mass m = 0.25 kg is dropped at rest on top of an inclined plane of 0 = 30°, free of friction, of length L. The mass, after a straight stretch of length d = 5 m, stops after compressing a spring of elastic constant k = 60 N/m, of x = 0.5 m. How much is L ? It is now present along the inclined plane and the straight section a friction with μd = 0.2. From what height L' must fall the block to have the same compression of the spring? (b) A material point is abandoned with speed vo = 0 m/s on the edge of a hemispherical vessel of radius r = 25 cm, with smooth walls. What speed will it have when it passes through lowest point H? Which is the speed of the material point when it passes through lowest point H, if it starts from the position A ( 0 = 35°)?
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