Answer:
c. No. An equation may have consistent units but still be numerically invaid.
Explanation:
For an equation to be corrected, it should have consistent units and also be numerically correct.
Most equation are of the form;
(Actual quantity) = (dimensionless constant) × (dimensionally correct quantity)
From the above, without the dimensionless constant the equation would be numerically wrong.
For example; Kinetic energy equation.
KE = 0.5(mv^2)
Without the dimensionless constant '0.5' the equation would be dimensionally correct but numerically wrong.
Answer:
2940.1 joules would you burn in climbing stairs all day.
Explanation:
Work = W = F
d
going up stairs would be against force of gravity
W = mgh
where h is the height
the question is not complete because we need speed or distance
h = v
t
so assuming 1 step per second
h = 86,400 steps
7inchs/step
0.0254 m/inch
h = 15362 m
so from this
W = 800 N
15362
= 12289600 J
that means YOU need 12289600 J to walk 1 step per second all day
divide that by 4180 J /Kcal
Kcal = ![\frac{W}{(J/Kcal)}](https://tex.z-dn.net/?f=%5Cfrac%7BW%7D%7B%28J%2FKcal%29%7D)
= ![\frac{12289600}{4180}](https://tex.z-dn.net/?f=%5Cfrac%7B12289600%7D%7B4180%7D)
= 2940.1 Kcal
if you ran faster you would use more energy 2 steps per second would mean 5880 Kcal.
Answer:
The shearing stress is 10208.3333 Pa
The shearing strain is 0.25
The shear modulus is 40833.3332 Pa
Explanation:
Given:
Block of gelatin of 120 mm x 120 mm by 40 mm
F = force = 49 N
Displacement = 10 mm
Questions: Find the shear modulus, Sm = ?, shearing stress, Ss = ?, shearing strain, SS = ?
The shearing stress is defined as the force applied to the block over the projected area, first, it is necessary to calculate the area:
A = 40*120 = 4800 mm² = 0.0048 m²
The shearing stress:
![Ss=\frac{F}{A} =\frac{49}{0.0048} =10208.3333Pa](https://tex.z-dn.net/?f=Ss%3D%5Cfrac%7BF%7D%7BA%7D%20%3D%5Cfrac%7B49%7D%7B0.0048%7D%20%3D10208.3333Pa)
The shearing strain is defined as the tangent of the displacement that the block over its length:
![SS=tan\theta =\frac{Displacement}{L} =\frac{10}{40} =0.25](https://tex.z-dn.net/?f=SS%3Dtan%5Ctheta%20%3D%5Cfrac%7BDisplacement%7D%7BL%7D%20%20%3D%5Cfrac%7B10%7D%7B40%7D%20%3D0.25)
Finally, the shear modulus is the division of the shearing stress over the shearing strain:
![Sm=\frac{10208.3333}{0.25} =40833.3332Pa](https://tex.z-dn.net/?f=Sm%3D%5Cfrac%7B10208.3333%7D%7B0.25%7D%20%3D40833.3332Pa)
Answer:
60/90
Explanation:
I think because the train's highest velocity is 60 n the time is 90
Answer:
The maximum electrical force is
.
Explanation:
Given that,
Speed of cyclotron = 1200 km/s
Initially the two protons are having kinetic energy given by
![\dfrac{1}{2}mv^2=\dfrac{1}{2}mv^2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2)
When they come to the closest distance the total kinetic energy is converts into potential energy given by
Using conservation of energy
![mv^2=\dfrac{kq^2}{r}](https://tex.z-dn.net/?f=mv%5E2%3D%5Cdfrac%7Bkq%5E2%7D%7Br%7D)
![r=\dfrac{kq^2}{mv^2}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Bkq%5E2%7D%7Bmv%5E2%7D)
Put the value into the formula
![r=\dfrac{8.99\times10^{9}\times(1.6\times10^{-19})^2}{1.67\times10^{-27}\times(1200\times10^{3})^2}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B8.99%5Ctimes10%5E%7B9%7D%5Ctimes%281.6%5Ctimes10%5E%7B-19%7D%29%5E2%7D%7B1.67%5Ctimes10%5E%7B-27%7D%5Ctimes%281200%5Ctimes10%5E%7B3%7D%29%5E2%7D)
![r=9.57\times10^{-14}\ m](https://tex.z-dn.net/?f=r%3D9.57%5Ctimes10%5E%7B-14%7D%5C%20m)
We need to calculate the maximum electrical force
Using formula of force
![F=\dfrac{kq^2}{r^2}](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7Bkq%5E2%7D%7Br%5E2%7D)
![F=\dfrac{8.99\times10^{9}\times(1.6\times10^{-19})^2}{(9.57\times10^{-14})^2}](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7B8.99%5Ctimes10%5E%7B9%7D%5Ctimes%281.6%5Ctimes10%5E%7B-19%7D%29%5E2%7D%7B%289.57%5Ctimes10%5E%7B-14%7D%29%5E2%7D)
![F=2.512\times10^{-2}\ N](https://tex.z-dn.net/?f=F%3D2.512%5Ctimes10%5E%7B-2%7D%5C%20N)
Hence, The maximum electrical force is
.