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1.) A man with a mass of g is painting a house. He stands on a tall ladder of height h. He leans over and falls straight down of the ladder if he is in the air for s seconds, what will be his momentum right before he hits the ground?​

Sagot :

Answer:

(mg)(s)

Explanation:

The problem tells us he falls vertically off the ladder (straight down), so we don't need to worry about motion in the horizontal direction.  

The equation for momentum is:  

p = mv  

We can assume he falls from rest, which allows us to find the initial momentum.  

m x 0[tex]\frac{m}{s\\}[/tex] = 0[tex]\frac{kg(m)}{s}[/tex]  

From here, we can use the formula for impulse:  

Δp = FΔt  

(pf − pi) = FΔt  

We know his initial momentum is zero, so we can remove this variable from the equation.  

pf = FΔt  

The problem tells us that his change in time is s seconds, so we can insert this in place of the time.  

pf = (F)(s)  

The only force acting upon man is the force due to gravity, which will always be given by the equation FG = mg.  

pf = (FG)(s)  

pf = (mg)(s)