2 J / 4 C = 1/2 joule per coulomb.
That's 1/2 volt.
The work-energy theorem states that the net work done by the forces on an object equals the change in its kinetic energy.
1) Rotational kinetic energy: 0.098 J
2) Translational kinetic energy: 145.2 J
Explanation:
1)
The rotational kinetic energy of a rigid body is given by
where
I is the moment of inertia of the body
is its angular speed
The ball in this problem is a uniform sphere, so its moment of inertia about its axis is
where
m = 0.15 kg is the mass of the ball
r = 3.7 cm = 0.037 m is the radius
Substituting,
The angular speed of the ball is
So, the rotational kinetic energy is
2)
The translational kinetic energy of the ball is given by
where
m is the mass
v is the linear speed
For the ball in this problem we have:
m = 0.15 kg
v = 44 m/s
Substituting, we find
Learn more about kinetic energy:
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Answer:
The Questions are
a. Calculate the x-component of the electric field, in newtons per coulomb
b. Calculate the y-component of the electric field, in newtons per coulomb
c. Calculate the z-component of the electric field, in newtons per coulomb
d. Calculate the magnitude of the electric field, in newtons per coulomb.
Explanation:
Given that,
Φx= 85 N•m2/C. X direction
Φy= -85 N•m2/C. Y direction
Φz = 0. Z direction
Radius of loop =3cm=0.03m
Surface area of the circle is πr²
A=22/7×0.03²
A=0.00283m²
Flux is given as Φ=EA
a. Φx=ExA
Ex=Φx/A
Ex=85/0.00283
Ex=30035.33N/C
b. Ey=Φy/A
Ey=-85/0.00283
Ey=-30035.33N/C.
c. Ez=Φz/A
Ez, =0/A
Ez=0N/C
d. Magnitude of E.
E=√Ex²+Ey²+Ez²
E=√(30035.33)²+(-30035.33)²
E=42476.38N/C.
