A (10-mathrm{kg}) dog jumps up in the air to catch a ball. The dog's center of mass

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A \(10-\mathrm{kg}\) dog jumps up in the air to catch a ball. The dog's center of mass is normally \(0.20 \mathrm{~m}\) above the ground, and he is \(0.50 \mathrm{~m}\) long. The lowest he can get his center of mass is \(0.10 \mathrm{~m}\) above the ground, and the highest he can get it before he can no longer push against the ground is \(0.30 \mathrm{~m}\). If the maximum force the dog can exert on the ground in pushing off is 2. 5 times the gravitational force Farth exerts on him, how high can he jump?

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