How High Can a 100lb Ball Be Thrown Upwards at 100ft/sec?

  • MHB
  • Thread starter Dustinsfl
  • Start date
  • Tags
    Ball
In summary, the maximum altitude of a 100lb ball thrown vertically upward with a velocity of 100 ft/sec can be calculated using the equation h = v^2/2g, where v is the initial velocity and g is the acceleration due to gravity. The weight or mass of the ball does not affect the calculation. Conservation of energy can also be used to determine the maximum altitude.
  • #1
Dustinsfl
2,281
5
What is the max altitude when a ball of 100lb is throwing vertically upward with a v = 100 ft/sec?

g = -32ft/sec per sec

I can't figure out how to incorporate the weight.
\[
h(y) = y_0 + v_0t + a\frac{t}{2} = 100t - 16t^2
\]
but can this equation be used? It isn't considering the weight of the object.
 
Mathematics news on Phys.org
  • #2
Re: throwing a 100lb ball up

I would use conservation of energy here. The initial energy is all kinetic, while the final energy is all gravitational potential:

\(\displaystyle E_i=E_f\)

\(\displaystyle \frac{1}{2}mv^2=mgh\)

\(\displaystyle h=\frac{v^2}{2g}\)

Note: The weight or mass of the object doesn't matter. As you can see here, it simply gets divided out.
 

FAQ: How High Can a 100lb Ball Be Thrown Upwards at 100ft/sec?

How far can a 100lb ball be thrown?

The distance a 100lb ball can be thrown depends on a variety of factors, such as the strength and technique of the person throwing it, as well as air resistance and other external forces. However, on average, a person with average strength may be able to throw a 100lb ball up to 20-30 feet.

How much force is needed to throw a 100lb ball up?

The amount of force needed to throw a 100lb ball up also varies depending on factors such as the person's strength and technique. However, it is estimated that a person with average strength would need to exert around 500-600 pounds of force to throw a 100lb ball up to a height of 20-30 feet.

Can a person throw a 100lb ball up without any equipment?

It is highly unlikely that a person could throw a 100lb ball up without any equipment, such as a sling or catapult. This is because the weight of the ball would make it difficult for a person to generate enough force to lift it off the ground and throw it up.

What is the acceleration of a 100lb ball when thrown up?

The acceleration of a 100lb ball when thrown up is affected by a variety of factors, including air resistance and the force applied by the person throwing it. However, on average, the acceleration of a 100lb ball when thrown up is around 9.8 meters per second squared, which is the same as the acceleration due to gravity.

Can a 100lb ball be thrown up on other planets?

The ability to throw a 100lb ball up on other planets would depend on the gravity and atmospheric conditions of that particular planet. For example, on a planet with lower gravity, it may be easier to throw a 100lb ball up than on Earth. However, on a planet with a thicker atmosphere, air resistance may make it more difficult to throw the ball up.

Similar threads

MHB Two Balls Thrown Vertical Upward
2
Replies
36
Views
7K
MHB Calculating Ball Height and Time with Quadratic Formula
Replies
4
Views
1K
MHB Yes, you are correct for both parts (A) and (B)!
Replies
2
Views
1K
MHB Jaden Harris' Velocity Ques. at Yahoo Answers
Replies
1
Views
3K
MHB Find the average speed of the ball
Replies
1
Views
4K
How high will a ball thrown with an initial speed of 80 ft/sec be at 3 seconds?
Replies
1
Views
2K
Potential energy of ball thrown upwards
Replies
5
Views
13K
Calculating Passing Height of Two Thrown Balls
Replies
1
Views
1K
How high was the package above the ground when it was thrown
Replies
4
Views
1K
Calculating Time in Air for a Vertically Thrown Ball
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top