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 0.60 m. Part A 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? Express your answer with the appropriate units. hmaxh m a x = nothing Request Answer Provide Feedback

Question

Briley Mack

Physics

9 January, 06:39

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 0.60 m. Part A 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? Express your answer with the appropriate units. hmaxh m a x = nothing Request Answer Provide Feedback

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Answers (1)

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Sariah · Answer 1

h = 1.15 m

Explanation:

given,

mass of the Dog = 11 Kg

dog center of mass = 0.2 m

length of dog = 0.5 m

lowest he can get his center of mass is 0.10 m above the ground,

he can no longer push against the ground is 0.60 m

maximum force dog exert = 2.1 times gravitational force

how high dog jump = ?

Work done of the gravitational force = gain in potential energy

2.1 x m g Δh = m g (h - 0.1)

2.1 x (0.6 - 0.1) = (h - 0.1)

h = 1.15 m

hence, the dog will jump upto the height of h = 1.15 m