Final velocity of a ball pushed by compressed airpls. help

In summary, the final velocity of a 1.72 kg ball pushed by compressed air from a 1.50 m long tube can be found by using the formula V12 = v02+2ad, where F=ma is used to calculate the acceleration. Assuming the initial velocity to be zero, the final velocity can be determined by plugging in the calculated acceleration value and the given distance of 1.50 m.
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final velocity of a ball pushed by compressed air..pls. help!

Homework Statement


Compressed air is used to fire a 1.72 kg ball vertically upward from a 1.50 m long
tube. The air exerts a upward force of 28.7 N on the ball as long as it is in the tube.
With what velocity does the ball leave the top of the tube?


Homework Equations


F=ma
V12 = v02+2ad


The Attempt at a Solution


so i used the given mass and force to get an acceleration. then using the acceleration i plugged it into the second equation assuming vinitial to be zero and my asnwer is coming out wrong can someone point me in the right direction thanks :))
 
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  • #2


Resultant force= Upward force-downward force

what's the downward force in this case?
 
  • #3


wld the downward force be the friction..but there is no mention of any friction in the question
 
  • #4


brunettegurl said:
wld the downward force be the friction..but there is no mention of any friction in the question

if you throw a ball upwards, it does not continue to go upwards, what makes it fall back to earth? (it has a mass m and is under the influence of gravity g)
 
  • #5


ok but that tells us what happens after it is released they're asking for velocity just before it's released from the cannon/tube
 
  • #6


brunettegurl said:
ok but that tells us what happens after it is released they're asking for velocity just before it's released from the cannon/tube

When you find the resultant force, you can get the resultant acceleration...:wink:

and in the formula [itex]v_1^2=v_0^2+2ad[/itex]

what do you need to find to get the value for v1?
 
  • #7


we have the distance(1.50) and we now have an acceleration but would vinitial still be equal to zero??
 
  • #8


brunettegurl said:
we have the distance(1.50) and we now have an acceleration but would vinitial still be equal to zero??

Yes it would be safe to assume the initial velocity as zero.
 
  • #9


thank you so much :))
 

1. What is the "final velocity" of a ball pushed by compressed air?

The final velocity of a ball pushed by compressed air refers to the speed of the ball after it has been accelerated by the force of the compressed air. This velocity is typically measured in meters per second (m/s) or kilometers per hour (km/h).

2. How is the final velocity of a ball pushed by compressed air calculated?

The final velocity of a ball pushed by compressed air can be calculated using the equation v = √(2F/m), where v is the final velocity, F is the force of the compressed air, and m is the mass of the ball. This equation is based on Newton's second law of motion, which states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass.

3. What factors can affect the final velocity of a ball pushed by compressed air?

The final velocity of a ball pushed by compressed air can be affected by several factors, including the force of the compressed air, the mass and shape of the ball, the air pressure and temperature, and any external forces acting on the ball (such as friction or air resistance).

4. How can the final velocity of a ball pushed by compressed air be increased?

The final velocity of a ball pushed by compressed air can be increased by increasing the force of the compressed air, reducing the mass of the ball, or reducing any external forces acting on the ball. Additionally, ensuring a smooth and unobstructed path for the ball to travel can also help increase its final velocity.

5. How is the final velocity of a ball pushed by compressed air used in real-world applications?

The concept of the final velocity of a ball pushed by compressed air is used in various real-world applications, such as in sports (e.g. golf, tennis, and soccer), industrial processes (e.g. pneumatic tools), and transportation (e.g. air-powered vehicles). Understanding the final velocity of a ball pushed by compressed air is crucial in designing and optimizing these systems for efficiency and performance.

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