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emily081715
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Homework Statement
A 11-kg dog jumps up in the air to catch a ball. The dog's center of mass is normally 0.20 m above the ground, and he is 0.50 m long. The lowest he can get his center of mass is 0.10 m above the ground, and the highest he can get it before he can no longer push against the ground is 0.40 m .If the maximum force the dog can exert on the ground in pushing off is 2.1 times the gravitational force Earth exerts on him, how high can he jump?
Homework Equations
Change in gravitational potential energy = mgΔx
Work = Force * Force Displacement
The Attempt at a Solution
Dog pushes itself to 0.6 m, then from that point the change in position is given by:
0.5*(2.1mg - mg) = mgΔx
0.5(2.1(11)(9.8)- (11)(9.8))/(11)(9.8)= Δx
0.55 m = Δx
Δx + 0.6 m = 1.15 m