When jumping straight down, you can be seriously injured if you land stiff-legge

Question

When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 75-kg man just before contact with the ground has a speed of 4.6 m/s. (a) In a stiff-legged landing he comes to a halt in 1.9 ms. Find the average net force that acts on him during this time. Incorrect: Your answer is incorrect. N (b) When he bends his knees, he comes to a halt in 0.10 s. Find the average force now. N (c) During the landing, the force of the ground on the man points upward, while the force due to gravity points downward. The average net force acting on the man includes both of these forces. Taking into account the directions of these forces, find the force of the ground on the man in parts (a) and (b). stiff legged landing N bent legged landing N

Explanation / Answer

a)

First step:

Convert 1.9 ms into secs-.0019secs

divide 4.6 m/s by .0019 secs

Gives you 2421.053 and so on m/s2

Multiply this by the given mass at 75 kg to get

1.8158*10^5 N

b)

For the second step switch .0019s for .10s

4.6m/s divided by .10s equals 46 m/s2

Multiply by 75 kg to get 3450N

c)

For the third step add (9.8m/s2*75kg) or 735 N to 1.8158*10^5 N to get

1.823 * 10^5N

Step Four add 735N to 3450N to get

4185N

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