Elementary Problem: What Strength is Needed to Lift Mass m to Height h?

  • Thread starter Petar Mali
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    Elementary
In summary, the power needed to raise a mass m through a height h in time t is given by P = mgh/t. This means that the required power is smaller if you take longer to raise the mass.
  • #1
Petar Mali
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Homework Statement


What strenght do you need to put mass m in the height [tex]h[/tex]?

Homework Equations


[tex]P=\frac{A}{t}[/tex]

The Attempt at a Solution



[tex]A=mgh[/tex]

so

[tex]P=\frac{mgh}{t}[/tex]

Is that mean that your strenght is less if you take mass long in the height [tex]h[/tex]?
 
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  • #2
Yes,the bigger the time(t)the smaller the power(P).
 
  • #3
Hi Petar! :smile:

(write "itex" rather than "tex", and it won't keep starting a new line :wink:)

Yes, you need power (not strength) of mgh/t to raise a mass m through height h in time t …

so you need less power if you take longer

(and that's the corrrect English! :wink:)
 

1. What is the formula for calculating the strength needed to lift a mass to a certain height?

The formula is F = mgh, where F is the force or strength needed, m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2), and h is the height the object is being lifted to.

2. Does the strength needed to lift a mass change with the height it is being lifted to?

Yes, the strength needed to lift a mass increases as the height it is being lifted to increases. This is because the potential energy of the object also increases with height, and the strength needed is equal to the change in potential energy divided by the height.

3. How does the mass of the object affect the strength needed to lift it to a certain height?

The strength needed to lift an object to a certain height is directly proportional to the mass of the object. This means that the more massive the object is, the more force is needed to lift it to a certain height.

4. Is the strength needed to lift an object to a certain height affected by the acceleration due to gravity?

Yes, the strength needed is affected by the acceleration due to gravity. In fact, the formula F = mgh includes the acceleration due to gravity (g) as a constant. This means that the strength needed will be different on different planets or in different gravitational fields.

5. Can the strength needed to lift an object to a certain height be reduced by using a machine?

Yes, using a machine can reduce the strength needed to lift an object to a certain height. Machines such as pulleys or levers can help distribute the force needed to lift the object, making it easier to lift. However, the total amount of work (force x distance) needed to lift the object will still be the same.

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