A 74.1 kg high jumper leaves the ground with

Physics

1 answer:

pishuonlain [190]3 years ago

7 0

Answer:

4.80 m

Explanation:

We are given the mass of the high jumper, its initial velocity, and the acceleration of gravity. We are trying to find the vertical displacement of the high jumper.

Let's set the upwards direction to be positive and the downwards direction to be negative.

List out the relevant known variables.

v₀ = 9.7 m/s
a = -9.8 m/s²
Δx = ?

We still need one more variable in order to use the constant acceleration equations. Since we are trying to find the max height of the jumper, we can use the fact that at the top of its trajectory, its final velocity will be 0 m/s.

4. v = 0 m/s

Using these four variables, let's find the constant acceleration equation that contains these variables:

v² = v₀² + 2aΔx

Substitute the known values into the equation and solve for Δx.

(0)² = (9.7)² + 2(-9.8)Δx
0 = 94.09 + (-19.6)Δx
-94.09 = -19.6Δx
Δx = 4.80

The high jumper can jump to a max height of 4.80 m.

You might be interested in

Volunteerism involves giving __________ to others without receiving payment.

soldier1979 [14.2K]

Answer:

Time and services

I'm sorry If I'm wrong

4 0

3 years ago

How do you find the speed of an object given its mass and kinetic energy (what is the formula)?

madam [21]

v = √ { 2*(KE) ] / m } ;

Now, plug in the known values for "KE" ["kinetic energy"] and "m" ["mass"] ;

and solve for "v".
______________________________________________________
Explanation:
_____________________________________________________
The formula is: KE = (½) * (m) * (v²) ;
_____________________________________

"Kinetic energy" = (½) * (mass) * (velocity , "squared")
________________________________________________
Note: Velocity is similar to speed, in that velocity means "speed and direction"; however, if you "square" a negative number, you will get a "positive"; since:  a "negative" multiplied by a "negative" equals a "positive".
____________________________________________
So, we have the formula:
___________________________________
KE = (½) * (m) * (v²) ; to solve for "(v)" ; velocity, which is very similar to the "speed";
___________________________________________________
we arrange the formula ;
__________________________________________________
(KE) = (½) * (m) * (v²) ;  ↔ (½)*(m)* (v²) = (KE) ;
___________________________________________________

→ We have: (½)*(m)* (v²) = (KE) ; we isolate, "m" (mass) on one side of the equation:
______________________________________________________

→ We divide each side of the equation by: "[(½)* (m)]" ;
___________________________________________________

→ [ (½)*(m)*(v²) ] /  [(½)* (m)] = (KE) / [(½)* (m)]<span> ;
</span>______________________________________________________
to get:
______________________________________________________
→ v² =   (KE) / [(½)* (m)]

→ v² = 2 KE / m
_______________________________________________________
Take the "square root" of each side of the equation ;
_______________________________________________________
  → √ (v²) = √ { 2*(KE) ] / m }
________________________________________________________

→ v = √ { 2*(KE) ] / m } ;

Now, plug in the known values for "KE" ["kinetic energy"] and "m" ["mass"];

and solve for "v".
______________________________________________________

8 0

3 years ago

Which of the following is a characteristic of digital data?

Westkost [7]

Answer:

duplication being slightly more expensive.

Explanation:

3 0

3 years ago

The universe is made up of

sasho [114]

The universe is made up of baryonic matter.(neutrons,electrons,protons)