Answer:
3.185 x 10^-3 cm/s
Explanation:
dV / dt = 4 cubic cm per second
r = 10 cm
The volume of sphere is given by
V = 4/3 x π x r³
Differentiate both sides with respect to t
dV / dt = 4/3 x π x 3r² x dr/dt
Put dV / dt = 4 cubic cm per second, r = 10 cm
4 = 4/3 x 3.14 x 3 x 10 x 10 x dr/dt
dr/dt = 3.185 x 10^-3 cm/s
Hi there!
We can use impulse for this situation:
I = Δp = mΔv
Impulse = Force × time, so:
I = 63.9(24) = 1533.6 Ns
Find force by dividing by time:
I/t = 1533.6/1.2 = 1278 N
Answer:
A. The upward pressure gradient force is balanced by gravity.
Explanation:
A. is correct because the pressure difference is actually generated by gravity. As in the following formula for the pressure at different points:
where are the pressure at 2 points, ρ is the density of the fluid, g is the gravitational constant, and h is the height difference.
B is incorrect because friction in air is too small to make an effect.
C is incorrect because the Coriolis force is horizontal, not vertical.
D is incorrect because a difference of 500 hPa = 50000 Pa, this is half of the atmospheric pressure.
E is incorrect because temperature cannot generate force.
False.
Protons have a charge of +1 and neutrons are neutral.
This would be true if neutrons was replaced with electrons.