You haven’t provided any options.
A) The stone moves along the vertical direction by unifom accelerated motion, with acceleration equal to g (gravitational acceleration), starting from initial position h above the ground and with initial velocity equal to zero. So, its vertical position follows the law:
b) The time the stone takes to reach the ground is the time t at which its vertical position y(t) becomes zero:
and if we solve it, we find
c) Since it is a uniform accelerated motion, the velocity of the stone at time t is given by
where the initial velocity is zero:
. The stone hits the ground at t=9.6 s, so its velocity at that time is
where the negative sign means it is directed downward.
d) In this case, since the initial velocity is not zero, the position at time t is given by
where
is the initial velocity.
The time the stone takes to reach the ground is the time t such that y(t)=0, so we have:
and by solving this equation, we find
Answer: There are two reasons as to why there are fewer air molecules at higher altitudes. One reason is that there is less air pressure at higher altitudes meaning that there is less air holding the molecules down, and secondly because gravity is not as strong higher in the air as it is closer to the surface. Both of these reasons combined allows these molecules to spread out more than they would at the surface. You did not provide any answer choices to choose from so I hope this has been a satisfactory answer :)
Explanation:
(a) First, we will calculate the number of moles as follows.
No. of moles =
Molar mass of helium is 4 g/mol and mass is given as 0.1 kg or 100 g (as 1 kg = 1000 g).
Putting the given values into the above formula as follows.
No. of moles =
=
= 25 mol
According to the ideal gas equation,
PV = nRT
or,
= 336.17 K
Hence, temperature change will be 336.17 K.
(b) The total amount of heat required for this process will be calculated as follows.
q =
=
= 174573.081 J/K
or, = 174.57 kJ/K (as 1 kJ = 1000 J)
Therefore, the amount of total heat required is 174.57 kJ/K.
Answer:
Explanation:
As per given figure let say the tip of the shadow is at distance "x" from the base of the lamp
so here we have
so we have
now we have