Answer:
θ = 29.38°
Explanation:
The centripetal force is given by the formula;
F_c = F_n(sin θ) = mv²/r
Now, the vertical component of the normal force is; F_n(cos θ)
Now, this vertical component is also expressed as; F_n(cos θ) = mg
Thus, the slope is;
F_n(sin θ)/F_n(cos θ) = (mv²/r)/mg
tan θ = v²/rg
v² = rg(tan θ)
The initial speed will be gotten from the relation;
(v_o)² = μ_s(gr)
Plugging rg(tan θ) for (v_o)², we have;
μ_s(gr) = rg(tan θ)
rg will cancel out to give;
μ_s = (tan θ)
Thus, θ = tan^(-1) μ_s
μ_s is coefficient of static friction given as 0.563
θ = tan^(-1) 0.563
θ = 29.38°
B, the surface of a flat table.
Substance A would have a delta T (change in temp) rise 1/2 the rise in substance B.
Q=mc x delta T
Q= heat energy in Joules
m= mass of substance heated or cooled
c= specific heat
ΔT is change in temp.
Solve for change in temp=. Q/mc
Specific heat and mass are not inversely proportional to heat energy input.
Putting into real world scenario of using water to heat a building.
Specific heat of water is 1.
It takes 1 btu to raise one pound of water 1 degF. at a base of 60 degF
Acetone specific heat is .51
So it takes half the amount of heat input to get a 100 degree ΔT, as compared to water.
Answer:
Earths shadow covering the moon would create a lunar eclipse.
Explanation:
because i just know