Velocity Of The Ice As It Hits The Ground?

In summary, the John Hancock Center in Chicago is the tallest building in the United States with residential apartments at a height of 343m. If a resident accidentally causes a chunk of ice to fall from the roof, neglecting air resistance, the velocity of the ice as it hits the ground would be approximately 82 m/s. This can be calculated using the equation v^2=2as where s is the distance, u is the initial velocity (in this case 0), a is the acceleration (in this case, due to gravity, 9.8 m/s^2), and v is the final velocity.
  • #1
luvzdaladeez
3
0
The John Hancock Center In Chicago Is The Tallest Building In The United States In Which There Are Residential Apartments. The Hancock Center Is 343m Tall. Suppose A Resident Accidentally Causes A Chunk Of Ice To Fall From The Roof. What Would Be The Velocity Of The Ice As It Hits The Ground? Neglect The Air Resistance
 
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  • #2
Seem pretty stright forward, what is your question?
 
  • #3
luvzdaladeez said:
The John Hancock Center In Chicago Is The Tallest Building In The United States In Which There Are Residential Apartments. The Hancock Center Is 343m Tall. Suppose A Resident Accidentally Causes A Chunk Of Ice To Fall From The Roof. What Would Be The Velocity Of The Ice As It Hits The Ground? Neglect The Air Resistance


1) What did you try?
2) See above
3) Think energy
 
  • #4
Ok I Tried


D=343m
Vi=0
A= -9.8 M/s


Looking For Vf=


Vf^2=0^2+2 X -9.8 X 343

And Then I Solved It From There
 
  • #5
Looks like.
 
  • #6
s=343 u=0 a=9.8


v^2=u^2+2as

v^2=2as

v^2=2*343*9.8
v^2=6722.8
v=82 m/s

the mistake you've made is putting gravity as -9.8 when it is actually 9.8 as the object is accelerating towards the earth.
 

Related to Velocity Of The Ice As It Hits The Ground?

1. What is the velocity of the ice as it hits the ground?

The velocity of the ice as it hits the ground depends on various factors, such as the height from which it is dropped, the angle at which it is dropped, and the shape and size of the ice. Generally, it can range from a few meters per second to over 100 meters per second.

2. How does the velocity of the ice affect its impact on the ground?

The velocity of the ice is directly proportional to its impact on the ground. This means that the higher the velocity, the greater the force of impact. This can result in more damage to the ground or objects it hits.

3. Can the velocity of ice be controlled or manipulated?

Yes, the velocity of ice can be controlled and manipulated by changing the height and angle from which it is dropped. Additionally, factors like wind resistance and air density can also affect the velocity of the ice as it falls.

4. Is there a maximum velocity that ice can reach as it falls to the ground?

There is no specific maximum velocity that ice can reach as it falls to the ground. It can vary depending on the initial conditions and external factors. However, at a certain point, the velocity may reach a terminal velocity, where it can no longer accelerate due to air resistance balancing out the force of gravity.

5. Does the velocity of ice as it hits the ground have any real-world applications?

Yes, the velocity of ice as it hits the ground has various real-world applications, such as in weather forecasting, impact studies, and even sports like ice hockey. Understanding the velocity and impact of ice can also help in building structures that can withstand extreme weather conditions.

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