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

Respuesta :

Answer:

A) The answers I've found kept saying 1500 N, but the answer that was marked as correct in the system was 1900 N

B) 4.4

Explanation:

There are two missing questions:

A) 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.

and

B) What is the ratio of this force to the antelope's weight? Express your answer using two significant figures.

A) Start off by calculating the initial velocity

Then like how other answers have said, the acceleration is (7-0)/.21=33.3333333

Then add 9.8 to this force so it becomes 9.8+33.3=43.1 and then continue the rest of the steps which will leave you with 1941 N (or 1900 N as rounded by the system :)

B) Start off by doing 45*9.8 which equals 441

The ratio becomes 1941:441

1941/441=4.4

(a)The force that did the impala push down on the ground will be 1941 N.

(b)The ratio of this force to the antelope's weight will be 4.4.

What is force?

Force is defined as the product the mass and acceleration. Its unit is Newton.

(a)The force that did the impala push down on the ground will be 1941 N.

The acceleration is found by:

[tex]\rm a= \frac{7-0}{0.21} \\\\ \rm a= 33.33m/sec^2[/tex]

The value of the force is found by the formula;

[tex]\rm F= m(a+g) \\\\ \rm F= 45(33.33+9.81) \\\\ \rm F= 1941 \ N[/tex]

Hence the force did the impala push down on the ground will be 1941 N.

(b)The ratio of this force to the antelope's weight will be 4.4.

The weight of the antelope will be;

W= mg

W=45×9.81

W=441 N

The ratio of this force to the antelope's weight is found by;

[tex]\rm \frac{F}{W} = \frac{1941}{441} \\\\ \rm \frac{F}{W} = 4.4[/tex]

Hence the ratio of this force to the antelope's weight will be 4.4.

To learn more about the force refer to the link;

https://brainly.com/question/13191643