A wire with a linear mass density of 1.17 g/cm moves at a constant speed on a horizontal surface and the coefficient of kinetic friction between the wire and the surface is 0.250. If the wire carries a current of 1.24 A westward and moves horizontally to the south, determine the magnitude and direction of the smallest magnetic field that can accomplish this.

The value is

The direction is into the surface

Explanation:

From the question we are told that

   The mass density is  

   The coefficient of kinetic friction is  

   The current the wire carries is  

Generally the magnetic force acting on the wire is mathematically represented as

Here   is the frictional  force which is mathematically represented as

While  is the magnetic force which is mathematically represented as

Here is the angle between the direction of the force and that of the current

So

So

=>  

=>  

=>  

Apply the right hand curling rule , the thumb pointing towards that direction of the current we see that the direction of the magnetic field is into the surface as shown on the first uploaded image

the word that best describes martin luther king jr.'s tone in the video is dignified

martin luther king, jr. was a social activist and baptist minister who played a key role in the american civil rights movement from the mid-1950s until his assassination in 1968. the video shows his manner and attitude having or showing a composed or serious manner that is worthy of respect so dignified is the correct answer

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2