Answer:
A(3.56m)
Explanation:
We have a conservation of energy problem here as well. Potential energy is being converted into linear kinetic energy and rotational kinetic energy.
We are given ω= 4.27rad/s, so v = ωr, which is 6.832 m/s. Place your coordinate system at top of the hill so E initial is 0.
Ef= Ug+Klin+Krot= -mgh+1/2mv^2+1/2Iω^2
Since it is a solid uniform disk I= 1/2MR^2, so Krot will be 1/4Mv^2(r^2ω^2= v^2).
Ef= -mgh+3/4mv^2
Since Ef=Ei=0
Mgh=3/4mv^2
gh=3/4v^2
h=0.75v^2/g
plug in givens to get h= 3.57m
Answer:
Explanation:
Let hotter star has surface area of A . The cooler star would have surface area 9 times that of hotter star ie 9A , because its radius is 3 times hot star. Let temperature of hot star be T ₁.
Total radiant energy is same for both the star
Using Stefan's formula of black body radiation,
For cold star E = 9A x σ T⁴
For hot star E = A x σ T₁⁴
A x σ T₁⁴ = 9A x σ T⁴
T₁⁴ = (√3)⁴T⁴
T₁ = √3T .
b )
Let the peak intensity wavelength be λ₁ and λ₂ for cold and hot star .
As per wein's law
for cold star , λ₁ T = b ( constant )
for hot star λ₂ √3T = b
dividing
λ₁ T / λ₂ √3T = 1
λ₂ / λ₁ = 1 / √3
Answer:
4. A 10-kilogram sled at rest
Explanation:
The object with most inertia is a 10-kilogram sled at rest.
Inertia is the tendency of a body to remain at rest or continue with uniform motion.
Now, this is better highlighted by Newton's first law of motion which states that "an object will remain in a state of rest or of uniform motion unless it is acted upon by an external force".
- The more the mass of a body, the greater its inertia
- So, the choice with the most mass will have the highest inertia and will be the most reluctant to change position.
We know, Applied force(f) = Spring constant (K) * Extension of material (x)
Here, f = 12 N
x = 0.070 m
Substitute their values,
12 = k * 0.070
k = 12 / 0.070
k = 171.43 N/m
In short, Your Answer would be 171.43 N/m
Hope this helps!
