An impala is an African antelope capable of a remarkable vertical leap. In one recorded leap, a 45 kg impala went into a deep crouch, pushed straight up for 0.21 s, and reached a height of 2.5 m above the ground.To achieve this vertical leap, with what force did the impala push down on the ground?Express your answer to two significant figures and include the appropriate units.Fnet = What is the ratio of this force to the antelope's weight?Express your answer using two significant figures.Fnet / w =

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Answer:

F = 51 10² N and The force applied is 11.6 times greater than the weight

Explanation:

As we are asked the force we can use Newton's second law and we calculate the acceleration by kinematics

      y = v₀ t + ½ a t²

On the ground its initial velocity is zero (v₀ = 0)

      y = ½ a t²

      a = 2y / t²

      a = 2 2.5 / 0.21²

      a = 113.38 m / s²

We calculate the force

      F = ma

      F = 45  113.38

      F = 5102 N

      F = 51 10² N

For the relationship of this force with the weight, divide the two

      F / W = 51 10²/45 9.8

      F / W = 11.6

The force applied is 11.6 times greater than the weight

Answer:

[tex]F = 5100 N[/tex]

[tex]R = 11.56[/tex]

Explanation:

As we know that impala is pushed upwards straight up with uniform acceleration

So here we can use kinematics equation

So we will have

[tex]y = vt + \frac{1}{2}at^2[/tex]

[tex]2.5 = \frac{1}{2}a(0.21)^2[/tex]

[tex]a = 113.4 m/s^2[/tex]

now we have

[tex]F = ma[/tex]

[tex]F = 45(113.4)[/tex]

[tex]F = 5100 N[/tex]

Now ratio of this force with the weight is given as

[tex]R = \frac{F}{F_g}[/tex]

[tex]R = \frac{5100}{45 \times 9.81}[/tex]

[tex]R = 11.56[/tex]