Question

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?

Answer 1

v = 75 m/s

Step-by-step 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

`(1)/(2) mv^2 = F*L + mg(h_1 +h_2)`

`(1)/(2)*25*v^2 = 20*3000 + 25 *9.8(40 + 2)`

solving for v

`v = \sqrt{(70290)/(12.5)}`

v = 75 m/s