So according to Charles's law the volume of a gas is directly proportional to the absorbed absolute temperature assuming constant pressure and a closed system. Or V/T=constant.
(V1/T1)=(V2/T2). Absolute temperature is in degrees Kelvin so:
T1=273.15+11= 284.15 K and T2=273.15 + 117=390.15 K. V1= 1.37*10^6 L.
We need to find V2. V2= (V1/T1)*T2.
Now we plug in the numbers: V2=(1.37*10^6/284.15)*390.15=1881068.1 L.
The volume of the air balloon when we heat the gas inside is
V2=1.88*10^6 L.
Mario's velocity vector relative to the ice is

(note that all velocities mentioned here are given in m/s)
The puck is moving in a direction of 17.8 degrees west of south, or 252.2 degrees counterclockwise relative to east. Its velocity vector relative to the ice is then

The velocity of the puch relative to Mario is


Then, relative to Mario,
a. the puck is traveling at a speed of
, and
b. is moving in a direction
such that

which is about
west of south.
Answer:
The temperature-time diagram is attached below
When ethanol is heating -120°C, its temperature rises till -114°C. Then the temperature remains constants at -114°C° till all of the ethanol is converted from Solid to Liquid. After that the temperature starts to rise again till 78°C. Then the temperature remains constants till all the liquid is converted into gas.
The slopes depends on rate of heating and specific heat capacity of ethanol.
The plateaus depend on rate of heating and latent heat of fusion and latent heat of vaporization.
Answer:
Explanation:
The relation between momentum "P" and impulse "I " is given by the impulse momentum theorem given below,
i.e. impulse is equal to change in momentum.
I= ∆P= P₂ - P₁
F∆t=mv₂ - mv₁
here m is the mass of skateboarder= m= 53.6 kg
initial velocity v₁ = 4.45m/s
final velocity v₂ = 0
now impulse is
I =0 - 53.6 x 4.45 = -235.52 kgm/s
here the final momentum is zero as the final velocity is zero and the initial momentum P₁= mv₁ = 235.52kgm/s
now the strong force that is applied for 1.82 seconds can be calculated as
F= - I / t
F = - 235.52/ 1.82 = - 131 N
in second step the weak force that is applied for 5.34 s can be calculated as
F = - I / t = - 235.52 / 5.34 = - 44.6 N
the negative sign of impulse and applied force indicates that the force is opposite to the direction of motion of the skateboarder.