Aproton moves with a speed of 4.00 106 m/s horizontally, at a right angle to a magnetic field. what magnetic field strength is required to just balance the weight of the proton and keep it moving horizontally? (the mass and charge of the proton are 1.67 ✕ 10−27 kg and 1.60 ✕ 10−19 c, respectively.)

Magnetic field,

Explanation:

It is given that,

Speed of proton,

Mass of the proton,

Charge on proton,

We need to find the magnetic field strength required to just balance the weight of the proton and keep it moving horizontally.

The Lorentz force is given by :

.............(1)

The weight of proton,

..............(2)

From equation (1) and (2), we get :

Hence, this is the required solution.

moving ball hits still ball. mover stops, hit ball moves. momentum transfer.

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.