Finding Velocity and Height of Wedge After Block Release

In summary: Conservation of momentum: The block's momentum (mass multiplied by velocity) is the same before and after it leaves the wedge.2. Conservation of energy: The block's energy is the same before and after it leaves 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?
 
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  • #2
imdiskid06 said:
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?
1. Use conservation of momentum:MV+mv=0.
2. Use conservation of energy:MV^2+mv^2=2mgH.
 
  • #3
hello everyone!

i am doing an investigation on the inverse square law of radiation, and i have plotted a graph of 1/rsquared angainst intensity of light. I have one point which for when the detector is closest to the point source (bulb) that is far from the line of best fit to the right side of the graph. how do i explain this?
 
  • #4
You may be so close to the bulb that it no longer looks like a point source.
That would be if distance were not large compared with the radius of the bulb.
 
  • #5
well the distance between the bulb and the detector was 0.05m. the radius of the bulbs was approx 9mm. help me
 
  • #6
does any-one know of any applications of the inverse law. could you appoint me a website link
 
  • #7
Meir Achuz said:
You may be so close to the bulb that it no longer looks like a point source.
That would be if distance were not large compared with the radius of the bulb.
That answers your question.
When you are that close, the inverse square law does not apply.
A website won't change that.
 
  • #8
could you give some mathematical proof.
 
  • #9
hello,

i need to know the mathematics involving the inverse law is used in predicting floods and their impact.
 
  • #10
Could you give me some examples where the inverse law is used.
 
  • #11
Meir Achuz said:
1. Use conservation of momentum:MV+mv=0.
2. Use conservation of energy:MV^2+mv^2=2mgH.
Why is it 2mgH?
 

FAQ: Finding Velocity and Height of Wedge After Block Release

How do you calculate the velocity of a wedge after releasing a block?

The velocity of a wedge after releasing a block can be calculated using the conservation of energy principle. The formula is v = √(2gh), where v is the velocity, g is the acceleration due to gravity, and h is the height of the wedge.

What factors affect the velocity of a wedge after releasing a block?

The velocity of a wedge after releasing a block is affected by the height of the wedge, the mass of the block, and the angle at which the block is released. Other factors such as friction and air resistance may also play a role.

How do you find the height of a wedge after releasing a block?

The height of a wedge after releasing a block can be calculated using the formula h = v2 / 2g, where h is the height, v is the velocity, and g is the acceleration due to gravity.

Can the velocity and height of a wedge after releasing a block be determined experimentally?

Yes, the velocity and height of a wedge after releasing a block can be determined experimentally by conducting a controlled experiment and measuring the relevant variables such as the height of the wedge, the mass of the block, and the angle of release. These values can then be used to calculate the velocity and height using the appropriate formulas.

How can the velocity and height of a wedge after releasing a block be applied in real-world scenarios?

The principles of finding velocity and height after releasing a block can be applied in various real-world scenarios such as calculating the trajectory of a projectile, determining the braking distance of a moving vehicle, and predicting the motion of objects in roller coasters. This information is also useful in engineering and design applications, such as designing ramps or calculating the impact force of falling objects.

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