The total energy of the system is 88.2 J
Explanation:
The total (mechanical) energy of an object is given by:

where
PE is the potential energy
KE is the kinetic energy
At the starting point, the object is at rest: this means that its kinetic energy is zero, so all its energy is potential energy, which is given by

where
m is the mass of the object
g is the acceleration of gravity
h is the height of the object
In this problem, we have (at point A):
m = 3.0 kg

h = 3.0 m
Substituting, we find:

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Answer:
12
N
in the direction opposite to electric field.
Explanation:
Force on a charged particle
q
due to electric field
E
is given by
→
F
=
q
→
E
|
F
|
=
−
0.06
C
×
200
N
C
=
−
12 N
Here negative indicates that force is in the direction opposite to electric field.
(1/2)^x=1/16
ln 1/2^x=x ln 1/2=ln 1/16
x=4
4 half-lives in one hour=1/4 hour for the half-life of the isotope
☺☺☺☺
The answer is B
How quickly are the stars in the Milky Way moving away from Earth
Answer:
14.1 kg
Explanation:
Given:
Length=7.00inches
Width=3.63 inches
Height=1.75 inches
density = 19,300 kg/m3.
We can convert the given parameters to metre for unit consistency
But we know 1 inches= 0.0254 metre
✓Then Length l=7.00inches
=7×0.0254 metre=0.1778m
✓Width w =3.63 inches
==3.63 ×0.0254 metre=0.092m
✓Height h =1.75 inches
=1.75 ×0.0254 metre=0.0445 m
But Mass= density × volume
Volume= Length× width×height
Mass= density× Length× width×height
= 19300kg/m³×0.1778×0.0922×0.0445
=14.1 kg
Therefore, the mass of the gold bar is 14.1 kg