A) A 400.0-g ball of radius 4.6-cm rolls without slipping on a looped track and then launches upwards at a 30-degree angle from the horizontal off of a 1.20-m high desk. The departure point of the track is 20.0-cm above the top of the desk. The starting point is 1.40-m above the surface of the desk. The track consists of a 2.00-m initial straight section at a 45-degree angle, followed by a 70-cm diameter loop, followed by a 40-cm straight section that launches a ball. A) Prove that the ball will make it around the loop without falling off the track. B) Assuming no friction, where will the ball land? C) If the ball lands on the floor 1.50-m horizontally from the launch point, what was the average friction force acting on the ball as it rolled along the track? D) If the track was frictionless and the ball slid instead of rolled, would the ball have flown a farther or shorter distance? Explain why.

A) A 400.0-g ball of radius 4.6-cm rolls without slipping on a looped track and then launches upwards at a 30-degree angle from the horizontal off of a 1.20-m high desk. The departure point of the track is 20.0-cm above the top of the desk. The starting point is 1.40-m above the surface of the desk. The track consists of a 2.00-m initial straight section at a 45-degree angle, followed by a 70-cm diameter loop, followed by a 40-cm straight section that launches a ball. A) Prove that the ball will make it around the loop without falling off the track. B) Assuming no friction, where will the ball land? C) If the ball lands on the floor 1.50-m horizontally from the launch point, what was the average friction force acting on the ball as it rolled along the track? D) If the track was frictionless and the ball slid instead of rolled, would the ball have flown a farther or shorter distance? Explain why.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

4. A) A 400.0-g ball of radius 4.6-cm rolls without slipping on a looped
track and then launches upwards at a 30-degree angle from the
horizontal off of a 1.20-m high desk. The departure point of the track
is 20.0-cm above the top of the desk. The starting point is 1.40-m
above the surface of the desk. The track consists of a 2.00-m initial
straight section at a 45-degree angle, followed by a 70-cm diameter
loop, followed by a 40-cm straight section that launches a ball. A)
Prove that the ball will make it around the loop without falling off the
track. B) Assuming no friction, where will the ball land? C) If the
ball lands on the floor 1.50-m horizontally from the launch point,
what was the average friction force acting on the ball as it rolled along
the track? D) If the track was frictionless and the ball slid instead of
rolled, would the ball have flown a farther or shorter distance?
Explain why.

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