Answer:
a) the final velocity is 35.75 ft/s
b) The final elevation is 45 ft
Explanation:
Given the data in the question;
Weight of object; W = 100 lbf
Change in kinetic energy; ΔE = 500 ft-lb
so
m - m = ΔE
m - m = 500
multiply both sides by 2
m - m = 1000
m( - ) = 1000
- = 1000/m
- = (1000)(g) / W
we know that, acceleration due to gravity g = 9.8 m/s² = 32.18 ft/s²
so we substitute
- = (1000)(32.18) / 100
- = (1000)(32.18) / 100
- = 32180 / 100
- = 321.8
since The initial velocity is given to be 40 ft/s;
(40)² - = 321.8
1600 - = 321.8
= 1600 - 321.8
= 1278.2
= √1278.2
= 35.75 ft/s
Therefore, the final velocity is 35.75 ft/s
b)
we know that;
change in potential energy is;
ΔP.E = mg( h - h )
given that; increase in potential energy; ΔP.E = 1500 ft-lbf
and mg = Weight = 100 lbf
we substitute
1500 = 100( h - h )
h - h = 1500 / 100
h - h = 15 ft
given that, elevation of the object; h = 30 ft
h - 30 ft = 15 ft
h = 15 ft + 30 ft
h = 45 ft
Therefore, The final elevation is 45 ft
I believe the answer to be no.
Because it is fully parallel with the law of Conversation of Energy.
But even so,according to the second law, some, or a even a small amount will be transformed(internal or thermal)
The crest is the highest point
Ok so here is the thing. It is necessary to introduce the atomic number Z into the following equation and the reason for that is that we are not working here with hydrogen (H). It will go like this:
<span>E=(2.18×10^-18 J)(Z^2 )|1/(ni^2 )-1/(nf^2 )| </span>
<span>E=(2.18×10^-18 J)(2^2 )|1/(6 ^2 )-1/(4 ^2 )|=3.02798×10^-19 J </span>
<span>After that we need to plug the E value calculated into the equation. Remember that the wavelength is always positive:</span>
<span>E=hc/λ 3.02798×10^-19 J=hc/λ λ=6.56×10^-7 m </span>
so 6.56×10^-7 m or better written 656 nm is in the visible spectrum
The force exerted by student A with his scooter is 306 N and that of student B is 204 N.
<h3>
Force applied by each student</h3>
The force exerted by each student is calculated from Newton's second law of motion.
F = ma
where;
- m is mass
- a is acceleration
F(A) = 127.5 x 2.4
F(A) = 306 N
F(B) = 120 x 1.7
F(B) = 204 N
Thus, the force exerted by student A with his scooter is 306 N and that of student B is 204 N.
Learn more about force here: brainly.com/question/12970081
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