Average force if jumping off a building?

In summary, to find the average force exerted by the mattresses on the stuntman, you need to calculate the speed of the stuntman just before he hits the mattresses and use it in the formula Favg=(M * v_i)/t, where t is the time it takes for the stuntman to come to a stop in the mattresses. This time can be found using the equation t=square root of (2h)/g, where h is the height of the fall and g is the acceleration due to gravity.
  • #1
mga2010
1
0
average force if jumping off a building?

Homework Statement



A 75.0-kg stuntman jumps from a balcony and falls 25.0 m
before colliding with a pile of mattresses. If the mattresses
are compressed 1.00 m before he is brought to rest, what
is the average force exerted by the mattresses on the
stuntman?

Homework Equations



Favg=change in power/time

t=square root of (2h)/g

The Attempt at a Solution



t=√((2*25)/9.81)
t=2.258 seconds

Favg=MVf-MVi/2.258
***vf=0 so that cancels out??***
left with: MVi/2.258

***AFTER THAT I'M LOST.***
 
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  • #2


First, calculate the speed of the stuntman just before he hits the matresses. This is your [itex] v_i [/itex]

[tex] F_{avg} = \frac {M v_f - M v_i } {t} [/tex]

is correct, but the time used here is not the 2.258 s falling, but the much shorter time for the stuntman to come to a stop in the matresses.
 

1. What is the average force experienced when jumping off a building?

The average force experienced when jumping off a building depends on various factors such as the height of the building, the body mass and speed of the individual, and the type of surface landed on. On average, the force can range from 5 to 10 times the body weight of the person.

2. How does the height of the building affect the average force when jumping off?

The height of the building has a direct impact on the average force experienced when jumping off. The higher the building, the greater the force due to the increase in acceleration and velocity during the fall.

3. Is there a difference in average force based on the surface landed on?

Yes, the surface landed on can greatly affect the average force. Landing on a hard surface, such as concrete, will result in a higher force compared to landing on a softer surface, such as grass or a trampoline.

4. How does body mass affect the average force when jumping off a building?

The body mass of an individual can impact the average force experienced when jumping off a building. A heavier person will experience a greater force due to their increased weight, while a lighter person will experience a lower force.

5. Can the average force when jumping off a building be reduced?

Yes, the average force can be reduced by taking measures such as using a safety device, such as a parachute, or landing on a softer surface. Additionally, proper body positioning and technique can help to reduce the force experienced during the jump.

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