)A 10 kg block slides down a frictionless slope which is at angle θ = 26◦. Starting from rest, the time to slide down is t = 1.79 s. The acceleration of gravity is 9.8 m/s2 . ai)What total distance s did the block slide? aii) What is the total vertical height through which the block descended?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 53P: Review. A block of mass m = 2.00 kg is released from rest at h = 0.500 m above the surface of a...
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a)A 10 kg block slides down a frictionless slope which is at angle θ = 26◦. Starting from rest, the time to slide down is t = 1.79 s. The acceleration of gravity is 9.8 m/s2 .

ai)What total distance s did the block slide?

aii) What is the total vertical height through which the block descended?

b)A small metal ball is suspended from the ceiling by a thread of negligible mass. The ball is then set in motion in a horizontal circle at an angle of 29 degrees from the top, so that the thread describes a cone. The acceleration of gravity is 9.8 m/s2 .

bi) What is the speed of the ball when it is in circular motion in m/s?

bii)How long does it take Tperiod for the ball to rotate once around the axis?

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