Answer:
v = 3.7 m/s
Explanation:
As the swing starts from rest, if we choose the lowest point of the trajectory to be the zero reference level for gravitational potential energy, and if we neglect air resistance, we can apply energy conservation as follows:
m. g. h = 1/2 m v²
The only unknown (let alone the speed) in the equation , is the height from which the swing is released.
At this point, the ropes make a 30⁰ angle with the vertical, so we can obtain the vertical length at this point as L cos 30⁰, appying simply cos definition.
As the height we are looking for is the difference respect from the vertical length L, we can simply write as follows:
h = L - Lcos 30⁰ = 5m -5m. 0.866 = 4.3 m
Replacing in the energy conservation equation, and solving for v, we get:
v = √2.g.(L-Lcos30⁰) = √2.9.8 m/s². 4.3 m =3.7 m/s
I'm pretty sure the actual number is 181
Answer:
0.1132 kJ/K the total heat capacity of the calorimeter.
Explanation:
The combustion energy of glucose = 15.57 kJ/g.
Energy released on 2 combustion of 2.000 g of glucose = Q
Q=31.140 kJ
Heat gained by the calorimeter = Q'
Heat gained by the calorimeter = heat released on combustion of glucose
Q'= 31.140 kJ
Temperature change of the calorimeter = ΔT = 23.34°C - 21.45°C = 1.89°C
ΔT = 1.89°C = 275.04 K
Total heat capacity of the calorimeter = C
0.1132 kJ/K the total heat capacity of the calorimeter.
Answer:
The ballon will brust at
<em>Pmax = 518 Torr ≈ 0.687 Atm </em>
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Explanation:
Hello!
To solve this problem we are going to use the ideal gass law
PV = nRT
Where n (number of moles) and R are constants (in the present case)
Therefore, we can relate to thermodynamic states with their respective pressure, volume and temperature.
--- (*)
Our initial state is:
P1 = 754 torr
V1 = 3.1 L
T1 = 294 K
If we consider the final state at which the ballon will explode, then:
P2 = Pmax
V2 = Vmax
T2 = 273 K
We also know that the maximum surface area is: 1257 cm^2
If we consider a spherical ballon, we can obtain the maximum radius:
Rmax = 10.001 cm
Therefore, the max volume will be:
Vmax = 4 190.05 cm^3 = 4.19 L
Now, from (*)
Therefore:
Pmax= P1 * (0.687)
That is:
Pmax = 518 Torr
It an electrical machine that converts electrical energy into mechanical energy, <span>Most </span>electric motors<span> operate through the interaction between an </span>electric motor's<span> magnetic field and winding currents to generate force.</span>