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 speed of the block when it leaves the track at point C. To the best of your ability, draw and label the forces (not components) that act on the block when it is at the top of the loop at point B. Centripetal force, which is the force of an object going in a circular motion, is defined as  F Centripetal = m*a = m*v2/r where “r” is the radius of the circular motion. Given this information, Calculate the minimum speed the block can have at point B without losing contact with the track. Hint: think about how the normal force will be affected!   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.

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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.

 

  1. Calculate the speed of the block when it leaves the track at point C.







  1. To the best of your ability, draw and label the forces (not components) that act on the block when it is at the top of the loop at point B.







  1. Centripetal force, which is the force of an object going in a circular motion, is defined as 

F Centripetal = m*a = m*v2/r where “r” is the radius of the circular motion. Given this information, Calculate the minimum speed the block can have at point B without losing contact with the track. Hint: think about how the normal force will be affected!



 


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.

**Extra-Credit Problem (10 pts)**

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 a 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.

**a.** Calculate the speed of the block when it leaves the track at point C.

**b.** To the best of your ability, draw and label the forces (not components) that act on the block when it is at the top of the loop at point B.

**c.** Centripetal force, which is the force of an object going in a circular motion, is defined as 
\[ F_{\text{Centripetal}} = m \times a = m \times v^2 / r \]
where "r" is the radius of the circular motion. Given this information, calculate the minimum speed the block can have at point B without losing contact with the track. *Hint: think about how the normal force will be affected!*

Calculate the minimum height \( h_{\text{min}} \) 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.
Transcribed Image Text:**Extra-Credit Problem (10 pts)** 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 a 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. **a.** Calculate the speed of the block when it leaves the track at point C. **b.** To the best of your ability, draw and label the forces (not components) that act on the block when it is at the top of the loop at point B. **c.** Centripetal force, which is the force of an object going in a circular motion, is defined as \[ F_{\text{Centripetal}} = m \times a = m \times v^2 / r \] where "r" is the radius of the circular motion. Given this information, calculate the minimum speed the block can have at point B without losing contact with the track. *Hint: think about how the normal force will be affected!* Calculate the minimum height \( h_{\text{min}} \) 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.
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