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To strengthen his arm and chest muscles, an 79.0 kgathlete 2.00 m tall is doing

ID: 2035819 • Letter: T

Question

To strengthen his arm and chest muscles, an 79.0 kgathlete 2.00 m tall is doing a series of push-ups as shown in the figure below (Figure 1). His center of mass is 1.20 m from the bottom of his feet, and the centers of his palms 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.

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Part B

Find the force that the floor exerts on each of his hand, both palms exert the same force.

To strengthen his arm and chest muscles, an 79.0 kgathlete 2.00 m tall is doing a series of push-ups as shown in the figure below (Figure 1). His center of mass is 1.20 m from the bottom of his feet, and the centers of his palms 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=   N  

SubmitPrevious AnswersRequest Answer

Incorrect; Try Again; 2 attempts remaining

Part B

Find the force that the floor exerts on each of his hand, both palms exert the same force.

2.0 m 30.0 cm

Explanation / Answer

let force exerted on each palm=Fp

force exerted on each foot=F

balancing forces in vertical direction:

2*(F+Fp)=weight=79*9.8

==>F+Fp=387.1 N…(1)

balancing torque about center of mass:

2*F*1.2=2*Fp*(2-1.2-0.3)

==>F=0.41667*Fp….(2)

using equation 2 in equation 1:

Fp=273.25 N

then F=113.85 N

so force by each palm=273.25 N

force by each foot=113.85 N

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