Finding temperature after something falls

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    Temperature
In summary, the temperature of 1.0 kg of lead initially at 300 K after falling 200 m is 315.31 K, based on the specific heat of lead being 128 J/kg C and using the equation mc(Tf-Ti) = mgy.
  • #1
crazyog
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Homework Statement


What is the temperature in K of 1.0 kg of lead initially at 300 K after it falls 200 m? The specific heat of lead is 128 J/kg C.
a) 307 b) 311 c) 315 d)275 e) 279
the answer my teacher said was c but i keep getting a.


Homework Equations


I thought I would use mc (Tf-Ti) = mgy

The Attempt at a Solution


The masses cross out. so
(300)(delta T) = (9.8)(200)
I get delta T = 6.53
300 +6.53 = 306.53
 
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  • #2
crazyog said:
I thought I would use mc (Tf-Ti) = mgy

The Attempt at a Solution


The masses cross out. so
(300)(delta T) = (9.8)(200)

Hi crazyog! :smile:

erm … why are you using 300 for c? :wink:
 
  • #3
(1kg)(128) (Tf - 300) = (1 kg) (9.8) (200 m)
128Tf - 38400 = 1960
Tf = 315.31
thank you! :)ehh, how do I mark this solved?
 
Last edited:
  • #4
crazyog said:
ehh, how do I mark this solved?

Hi crazyog! :smile:

I think the "SOLVED" facility got lost in the recent upgrade.

Maybe it'll come back! :rolleyes:
 

1. What is the relationship between temperature and an object falling?

When an object falls, it gains kinetic energy as it accelerates towards the ground. This kinetic energy is converted into heat upon impact, which leads to an increase in the object's temperature.

2. How do you calculate the temperature change after an object falls?

The temperature change after an object falls can be calculated using the formula: ΔT = mgh/C, where ΔT is the change in temperature, m is the mass of the object, g is the acceleration due to gravity, h is the height of the fall, and C is the specific heat capacity of the object.

3. What factors affect the temperature change after an object falls?

The temperature change after an object falls can be affected by the mass and specific heat capacity of the object, as well as the height from which it falls and the material it falls onto.

4. Can temperature change be measured after an object falls?

Yes, temperature change can be measured after an object falls using a thermometer or other temperature measuring device. However, the change may be small and difficult to detect depending on the size and material of the object.

5. What are some real-world examples of temperature change after an object falls?

One example of temperature change after an object falls is when a meteor enters Earth's atmosphere, it experiences a significant increase in temperature due to friction with the air. Another example is when an object is dropped into a pot of water, the water's temperature may rise slightly due to the energy transferred from the falling object.

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