Answer:
Explanation:
Given
mass of boat
mass of Person
Length of boat
Center of mass of boat and child
when child reaches another end of boat, boat is shifted by x cm
Center of mass of the system will remain the same
Equating 1 and 2 we get
Answer:
<h3>25.152m</h3>
Explanation:
Compete question;
A roller coaster has a loop in which the centripetal acceleration equals 9.8m/s² . If the tangential speed of the roller coaster cars is 15.7 m/s, find its radius.
centripetal acceleration a = v²/r
v is the tangential speed
r is the radius
Given
v = 15.7m/s
a = 9.8m/s²
9.8 = 15.7²/r
9.8r = 15.7²
r = 15.7²/9.8
r = 246.49/9.8
r = 25.152m
Hence the radius of the coaster is 25.152m
Answer:
(a) ΔU=747J
(b) γ=1.3
Explanation:
For (a) change in internal energy
According to first law of thermodynamics the change in internal energy is given as
ΔU=Q-W
Substitute the given values
ΔU=970J-223J
ΔU=747J
For(b) γ for the gas.
We can calculate γ by ratio of heat capacities of the gas
γ=Cp/Cv
Where Cp is the molar heat capacity at constant pressure
Cv is the molar heat capacity at constant volume
To calculate γ we first need to find Cp and Cv
So
For Cp
As we know
Q=nCpΔT
Cp=(Q/nΔT)
From relation of Cv and Cp we know that
Cp=Cv+R
Where R is gas constant equals to 8.314J/mol.K
So
So
γ=Cp/Cv
γ=[(37J/mol.K) / (28.687J/mol.K)]
γ=1.3
Answer
given,
mass of the hiker = 66.5 kg
elevation of the hiker,h₁ = 1270 m
elevation of top peak,h₂ = 2660 m
a) Change in potential energy
Δ PE = m g h₂ - m g h₁
Δ PE = m g (h₂ - h₁)
Δ PE = 66.5 x 9.8 x (2660 - 1270)
Δ PE = 905863 J
b) Minimum work require by the hiker will be equal to Δ PE = 905863 J
c) yes, it can be more than this, if friction is present on the surface.
Explanation:
Resistance = Resistivity * Length / Area
= 30 * (1/3) / (1/4)
= 40x.
Hence the resistance of the constant wire is 2 * 40 = 80 ohms.