A hammer of mass m falls from rest off of a roof and drops a height H onto your head.

a) Assuming that the tool is in actual contact with your head for a time △t before it stops and slides off, what is the algebraic expression for the average force it exerts on your skull while stopping?

Question

Physics

Aria Parker

4 September, 14:53

A hammer of mass m falls from rest off of a roof and drops a height H onto your head.

a) Assuming that the tool is in actual contact with your head for a time △t before it stops and slides off, what is the algebraic expression for the average force it exerts on your skull while stopping?

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Answers (1)

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Thomas Melendez · Answer 1

For conservation of energy we have to:

mgH=mv²/2

Clearing

v=sqrt (2gH)

Then, by definition

F=Δp/Δt = Δ (mv) / Δt=m Δ (v) / Δt=

=m[sqrt (2gH) - 0]/Δt = m[sqrt (2gH) ] / Δt

the answer is

F=m[sqrt (2gH) ] / Δt

A hammer of mass m falls from rest off of a roof and drops a height H onto your head.a) Assuming that the tool is in actual contact with your head for a time △t before it stops and slides off, what is the algebraic expression for the average force it exerts on your skull while stopping?

A hammer of mass m falls from rest off of a roof and drops a height H onto your head.

a) Assuming that the tool is in actual contact with your head for a time △t before it stops and slides off, what is the algebraic expression for the average force it exerts on your skull while stopping?