A small block of mass 0.15 kg is placed at point A at a height 2.0 m above the bottom of a track, as shown in the figure above, and is released from rest. It slides with negligible friction down the track, around the inside of the loop of radius 0.60 m, and leaves the track at point C at a height 0.50 m above the bottom of the track. Calculate the minimum height hmin at the start of the track at which the block can be released and still go around the loop without losing contact with the track. ### Physics Experiment: Motion on a Loop Track#### Description:A small block with a mass of 0.15 kg is positioned at point A, which is 2.0 meters above the bottom of a track. This block is released from rest and moves with negligible friction along the track. The track features a loop with a radius of 0.60 meters. The block travels around the inside of this loop and exits the track at point C, which is 0.50 meters above the bottom.#### Diagram Explanation:- **Point A:** The starting point where the block is held, 2.0 meters high.- **Track:** A smooth curve leading to a circular loop.- **Loop:** A circle with a radius of 0.60 meters (position B is the top of the loop).- **Point C:** The exit point of the block, situated at a height of 0.50 meters.#### Problem Statement:Calculate the minimum height \( h_{\text{min}} \) at the start of the track from which the block must be released so that it can complete the loop without losing contact with the track.This setup is used to study the physics of motion, specifically energy conservation and forces acting on objects in circular paths.

The minimum speed required for the block to cross point B without losing contact. When the block is…

Answered: 0.15 kg В 2.0 m 0.60 m 0.50 m A small…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A small block of mass 0.15 kg is placed at point A at a height 2.0 m above the bottom of a track, as shown in the figure above, and is released from rest. It slides with negligible friction down the track, around the inside of the loop of radius 0.60 m, and leaves the track at point C at a height 0.50 m above the bottom of the track.

Calculate the minimum height hmin at the start of the track at which the block can be released and still go around the loop without losing contact with the track.

### Physics Experiment: Motion on a Loop Track

#### Description:
A small block with a mass of 0.15 kg is positioned at point A, which is 2.0 meters above the bottom of a track. This block is released from rest and moves with negligible friction along the track. The track features a loop with a radius of 0.60 meters. The block travels around the inside of this loop and exits the track at point C, which is 0.50 meters above the bottom.

#### Diagram Explanation:
- **Point A:** The starting point where the block is held, 2.0 meters high.
- **Track:** A smooth curve leading to a circular loop.
- **Loop:** A circle with a radius of 0.60 meters (position B is the top of the loop).
- **Point C:** The exit point of the block, situated at a height of 0.50 meters.

#### Problem Statement:
Calculate the minimum height \( h_{\text{min}} \) at the start of the track from which the block must be released so that it can complete the loop without losing contact with the track.

This setup is used to study the physics of motion, specifically energy conservation and forces acting on objects in circular paths.

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