Calculate the force of a particle with a net charge of 170 coulombs traveling at a speed of 135 meters/second perpendicular to the magnetic field of 5.0 × 10-5 tesla. The magnetic field runs from south to north (as shown below), and the particle is moving from east to west: ↑B ← +q

The force on the particle, F = 1.15 N

Explanation:

Charge, q = 170 Coulombs

speed of the particle, v = 135 m/s

Magnetic field, B = 5 * 10⁻⁵ T

The force is perpendicular to the magnetic field, θ = 90°

The force of the particle is given by the formula,

F = qvBsinθ

F = 170 * 135 * 5 * 10⁻⁵ * sin90°

F =1.15 N

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.