Answer:
Speed with which it strike the water = 36.66 m/s
Explanation:
Horizontal component of velocity = 18 m/s
We need to find vertical component of velocity.
Considering vertical motion of stone
Initial velocity, u = 0 m/s
Acceleration , a = 9.81 m/s²
Displacement, s = 52 m
We have equation of motion v² = u² + 2as
Substituting
v² = u² + 2as
v² = 0² + 2 x 9.81 x 52
v = 31.94 m/s
Vertical component of velocity = 31.94 m/s
Speed with which it strike the water = 36.66 m/s
Answer:
a) 0 J
b) W = nRTln(Vf/Vi)
c) ΔQ = nRTln(Vf/Vi)
d) ΔQ = W
Explanation:
a) To find the change in the internal energy you use the 1st law of thermodynamics:
Q: heat transfer
W: work done by the gas
The gas is compressed isothermally, then, there is no change in the internal energy and you have
ΔU = 0 J
b) The work is done by the gas, not over the gas.
The work is given by the following formula:
n: moles
R: ideal gas constant
T: constant temperature
Vf: final volume
Vi: initial volume
Vf < Vi, then W < 0 and the work is done on the gas
c) The gas has been compressed. Thus, its temperature increases and heat has been transferred to the gas.
The amount of heat is equal to the work done W
d)