What is the height of the wedge?

In summary, a wedge is a simple machine that uses a sharp edge and downward force to split or cut objects. It works by concentrating force into a smaller area, making it easier to perform tasks. Common examples include axes, knives, and chisels. The height of a wedge is measured from the widest point to the sharpest point, and the mechanical advantage can be calculated by dividing the length of the slope by the thickness of the wedge.
  • #1
imdiskid06
3
0
A small block of mass .5kg is released form rest at the top of a curved-shaped frictionless wedge of mass 3 kg , which sits on a frictionless horizontal surfces. When the block leaves the wedge, its velocity is 4 m/s to the right. Find the velocity of the wedge after the block reaches the horizontal surface. What is the height of the wedge?:biggrin:
 
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  • #2
You should really show some of your working / thoughts. Hint: Use circular motion and think about normal reaction forces.
 
  • #3
Alternatively, you can use the work-energy theorem.
 
  • #4
The work energy theorm is probably simpler.
 

1. What is a wedge?

A wedge is a simple machine that is typically made of a triangular-shaped tool with a sharp edge. It is used to split or cut objects apart by applying a downward force on the wide end of the wedge.

2. How does a wedge work?

A wedge works by concentrating the force applied to its wide end into a smaller area at its sharp edge. This creates a high pressure, making it easier to split or cut objects apart.

3. What are some examples of wedges?

Some common examples of wedges include axes, knives, chisels, and even teeth. Wedges can also be found in everyday objects such as zippers and doorstops.

4. What is the height of the wedge?

The height of a wedge is typically measured from the widest point of the wedge to its sharpest point. This measurement can vary depending on the size and shape of the wedge.

5. How do you calculate the mechanical advantage of a wedge?

The mechanical advantage of a wedge can be calculated by dividing the length of the slope (the distance from the wide end to the sharp edge) by the thickness of the wedge. The higher the mechanical advantage, the more efficient the wedge is at performing work.

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