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I also need the force that the floor exerts on each of his hands, given they exe

ID: 1399138 • Letter: I

Question

I also need the force that the floor exerts on each of his hands, given they exert the same force. iPad 10 30 PM session.masteringphysics.com Item 14 MasteringPhysics Item l To strengthen his arm and chest muscles, an 85.0 kg athlete 2.00 m tall is doing a series of push-ups as shown in the figure below 20 m Q Tap image to zoom QTap image to His center of mass is 1.15 m from the bottom of his feet, and the centers of his alms are 30.0 cm from the top of his head. Find the force that the floor exerts on each of his feet and on each hand, assuming that both feet exert the same force and both palms do likewise. Part A Find the force that the floor exerts on each of his feet, assuming that both feet exert the same force. F= 147 Submit Give Up

Explanation / Answer

here,

mass of athlete, m = 85 kg

distance of hands from the bottom, d = 2 - 0.3 m

d = 1.7 m

distance of centre of mass from the bottom , c = 1.15 m

let N1 and n2 be the force that floar exerts on each hands and feet

conserving moment of force about the feets

0 * 2* N2 +1.7 * 2 * N1 - 1.15 * m * g = 0

0 * 2* N2 +1.7 * 2 * N1 - 1.15 * 85 * 9.8 = 0

solving for N1

N1 = 281.75 N

the force that floar exerts on each hands is 281.75 N
  

equating the forces horizontally

2*(N1 + N2) = m* g

2 * (281.75 + N2) = 9.8 * 85

N2 = 134.75 N

the force that floar exerts on each hands is 134.75 N