a 4.0 kilogram ball moving at 8.0 m/s to the right collides with a 1.0 kilogram ball at rest. after the collision the 4.0 kilogr
1 answer:
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Complete Question
An infinite sheet carries a uniform, positive charge per unit area. The electric field produced by the sheet is represented by parallel lines drawn with a density N lines per m2 that are perpendicular to and away from the sheet. The charge per unit area on the sheet is doubled. How should the density of the electric field lines be changed?
A It should stay the same
B It should be quadrupled.
C It should be quintupled
D It should be doubled.
E It should be tripled
Answer:
Option D is the correct option
Explanation:
Generally electric field is mathematically represented as
Where is the charge per unit area (Charge density )
From the question we are told that is doubled hence the
Looking the equation above we see that the value of the electric field will also double given that it is directly proportional to the charge density
Answer:
The width of the sheet is
Explanation:
From the question we are told that
The distance of point P above a large sheet of metal is
The current on the large metal sheet is
The distance of the the point P below a long wire
The current on the long wire is
The magnetic field at P is
Generally magnetic field of P long wire is mathematically represented as
Generally magnetic field of P large sheet of meta is mathematically represented as
Where K is the current per unit width
The total magnetic field at P is
Making K the subject of formula
Substituting values
Generally K is mathematically represented as
Where w is the width of the large sheet
Therefore the width of the metal sheet
(a) 1.49 m/s
The conservation of momentum states that the total initial momentum is equal to the total final momentum:
where
m = 0.016 kg is the mass of the bullet
is the initial velocity of the bullet
M = 3 kg is the mass of the block
is the initial velocity of the block
v = ? is the final velocity of the block and the bullet
Solving the equation for v, we find
(b) Before: 627.2 J, after: 3.3 J
The initial kinetic energy is (it is just the one of the bullet, since the block is at rest):
The final kinetic energy is the kinetic energy of the bullet+block system after the collision:
(c) The Energy Principle isn't valid for an inelastic collision.
In fact, during an inelastic collision, the total momentum of the system is conserved, while the total kinetic energy is not: this means that part of the kinetic energy of the system is losted in the collision. The principle of conservation of energy, however, is still valid: in fact, the energy has not been simply lost, but it has been converted into other forms of energy (thermal energy).