The total metabolic energy used by each to complete the course is determined as 656.91 J.
<h3>
Kinetic energy of Jessie and Jaime</h3>
The kinetic energy of Jessie and Jaime is calculated as follows;
K.E = ¹/₂mv²
where;
- m is mass of Jaime
- v is speed
15 km/h = 4.17 m/s
5 km/h = 1.39 m/s
K.E = ¹/₂(68)(4.17)² + ¹/₂(68)(1.39)²
K.E = 656.91 J
Thus, the total metabolic energy used by each to complete the course is determined as 656.91 J.
Learn more about kinetic energy here: brainly.com/question/25959744
The planets have (their) moons. So the answer would be planets.
Answer:
38 m/s
43 m/s
Explanation:
x = 18t + 5.0t²
The instantaneous velocity is the first derivative:
v = 18 + 10.t
At t = 2.0:
v = 18 + 10.(2.0)
v = 38 m/s
The average velocity is the change in position over change in time.
v = Δx / Δt
v = [ (18t₂ + 5.0t₂²) − (18t₁ + 5.0t₁²) ] / (t₂ − t₁)
Between t = 2.0 and t = 3.0:
v = [ (18(3.0) + 5.0(3.0)²) − (18(2.0) + 5.0(2.0)²) ] / (3.0 − 2.0)
v = [ (54 + 45) − (36 + 20.) ] / 1.0
v = 99 − 56
v = 43 m/s
Answer:
F = 2.49 x 10⁻⁹ N
Explanation:
The electrostatic force between two charged bodies is given by Colomb's Law:

where,
F = Electrostatic Force = ?
k = colomb's constant = 9 x 10⁹ N.m²/C²
q₁ = charge on proton = 1.6 x 10⁻¹⁹ C
q₂ = second charge = 1.4 C
r = distace between charges = 0.9 m
Therefore,

<u>F = 2.49 x 10⁻⁹ N</u>
<u>Answer</u>
The distance must be one-third the original distance.
<u>Explanation</u>
Gravitational force is the force of attraction between two bodies of given masses. It is calculated by the formula;
Gravitational force = Gm₁m₂/r²
This means, for the gravitational force to remain unchanged, both numerator and denominator has to change by equal value.
The numerator changed by (1/3×1/3 = 1/9).
So, r² must change by the same value which is 1/9.
If r² ⇒ 1/9, then
r ⇒ √1/9
⇒ 1/3
So, this means, for the gravitational force to remain as 200, The distance must be one-third the original distance.