contestada

A 25 kg gazelle runs 3 km up a slope at a constant speed, increasing their elevation by 40 m. While running, they experience a constant drag force of 20 N. It then jumps a height of 2 m onto a ledge. What is the minimum take off speed required to make the jump?

Respuesta :

Answer:

v = 75  m/s

Explanation:

given data:

mass of gazelle is 25 kg

length of slope is 3 km

height of slope is 40 m

drag force is 20 N

jump height is 2 m

By work energy theorem we have

[tex]\frac{1}{2} mv^2 = F*L + mg(h_1 +h_2)[/tex]

[tex]\frac{1}{2}*25*v^2 = 20*3000 + 25 *9.8(40 + 2)[/tex]

solving for v

[tex]v = \sqrt{\frac{70290}{12.5}}[/tex]

v = 75  m/s

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