Answer:
The hunter should aim directly at the perched monkey because the tranquilizer dart will fall away from the line sight at the same rate that the monkey falls from its perch.
Tan theta = 9 / 90 = .1 so theta = 5.71 deg
The time for the monkey to reach the ground is
t = (2 h / g)^1/2 = (18 / 9.8)^1/2 = 1.36 sec
So the horizontal speed of the dart must be at least
Vx = 90 m / 1.36 sec = 66.4 m/s
Vx = V cos theta
V = 66.4 m/s / cos 5.71 = 66.7 m/s
Answer:
Explanation:
The speed of light through a medium is given by:
where
is the speed of light through vacuum
n is the index of refraction of the material
In this case, diamond has a refractive index of n = 2.4, so the speed of light in diamond is
When potential energy <u>decreases</u>, kinetic energy increases.
I think it is C in my personal opinion
Answer:
Mass of the box is 3.06 kg
Explanation:
Potential energy (that depends on gravity) is the type of energy which is stored that relies on the general position of different parts of a body. It is a property of a framework and not of an individual body or molecule; the framework made out of the Earth and the raised ball.
P.E = m.g.h Equation(1)
as we have to find the mass of the box then the formula for the mass will become
m=P.E/g(h) Equation(2)
as we know
P.E= 120J
h=4m
g=9.8m/s
g is the gravitational acceleration
putting values in the equation(2)
m = 120/9.8(4)
= 120/39.2
= 3.06 kg
mass of the box is 3.06 kg
