Answer:
0.78 m
Explanation:
By the conservation of energy, the energy that they gain from potential energy, must be equal to the kinetic energy. So, for Adolf:
Ep = Ek
ma*g*ha = ma*va²/2
Where ma is the mass of Adolf, g is the gravity acceleration (10 m/s²), ha is the height that he reached, and va is the velocity. So:
100*10*0.51 = 100*va²/2
50va² = 510
va² = 10.2
va = √10.2
va = 3.20 m/s
Before the push, both of them are in rest, so the momentum must be 0. The system is conservative, so the momentum after the push must be equal to the momentum before the push:
ma*va + me*ve = 0, where me and ve are the mass and velocity of Ed. So:
100*3.20 + 81ve = 0
81ve = 320
ve = 3.95 m/s
By the conservation of energy for Ed:
me*g*he = me*ve²/2
81*10*he = 81*(3.95)²/2
810he = 631.90
he = 0.78 m
There is a total of 6 half lives that need to take place.
ONE HALF LIFE = 200
TWO HALF LIFES = 100
THREE HALF LIFES = 50
FOUR HALF LIFES = 25
FIVE HALF LIFES = 12.5
SIX HALF LIFES = 6.25
The answer is 6.25g
Answer:
I = 0.44 A
Explanation:
The magnetic force on a conductor is given by the expression
F = I L x B
Where bold letters indicate vectors, I is the current, L is the vector in the direction of the current, and B is the magnetic field
Since the force is maximum, the wire must be perpendicular to the magnetic field, therefore
F = I L B sin 90
I = F / L B
Let's calculate
I = 1.2 / 1.5 1.8
I = 0.44 A
Answer:
Explanation:
The electric field inside a parallel plate capacitor is
where A is the area of one of the plates, and Q is the charge on the capacitor.
The electric force on the electron is
where q is the charge of the electron.
By definition the capacitance of the capacitor is given by
Plugging this identity into the force equation above gives
The work done by this force is equal to change in kinetic energy.
W = Fx = (30q)(0.05) = 1.5q = K
The charge of the electron is 
Therefore, the kinetic energy is 
