James Bond is playing a high-stakes game of darts against some evil fascist henc

Question

James Bond is playing a high-stakes game of darts against some evil fascist henchmen! He must throw his dart to strike a target some distance away, but he knows that the henchmen have adjusted the lighting so that the target looks closer than it is. Therefore, he wants to arrange it so that he can throw the dart perfectly horizontally and strike the target.

Mr. Bond knows that his dart has a mass of 4.2 gand a charge of +2300 C . However, the evil henchmen, surmising his plan, have made a downward uniform electric field with field strength 26.0 N/C . Fortunately, though, Q has given Mr. Bond a device that can create a uniform magnetic field. Mr. Bond knows he throws his dart with an initial velocity of 14.0 m/s ; he will need to figure out what to set the magnetic field to so that he can win his dart game.

Part A

Part B

Part C

What is the magnitude of the uniform magnetic field Mr. Bond should create?

Express your answer using two significant figures.

James Bond is playing a high-stakes game of darts against some evil fascist henchmen! He must throw his dart to strike a target some distance away, but he knows that the henchmen have adjusted the lighting so that the target looks closer than it is. Therefore, he wants to arrange it so that he can throw the dart perfectly horizontally and strike the target.

Mr. Bond knows that his dart has a mass of 4.2 gand a charge of +2300 C . However, the evil henchmen, surmising his plan, have made a downward uniform electric field with field strength 26.0 N/C . Fortunately, though, Q has given Mr. Bond a device that can create a uniform magnetic field. Mr. Bond knows he throws his dart with an initial velocity of 14.0 m/s ; he will need to figure out what to set the magnetic field to so that he can win his dart game.

Part A

What forces are acting on the dart while it is in the air? Electric force Gravitational force Magnetic force Spring force Normal force

Part B

What direction should Mr. Bond make the magnetic field in? Towards him Upwards To his left To his right Away from him Downwards

Part C

What is the magnitude of the uniform magnetic field Mr. Bond should create?

Express your answer using two significant figures.

B = T

Explanation / Answer

here,

mass , m = 4.2 g

charge , q = 2.3 * 10^-3 C

electric feild , E = 26 N/C

initial velocity , v= 14 m/s

A)

the forces acting on the dart while it is in air is electric force , gravitational force and magnetic force

B)

electric feild is downward

so , the maagnetic force must be upwards

using right hand rule

the magnetic feild is to his left

C)

the magnitude of the uniform magnetic field Mr. Bond should create be B

q * ( v X B) = m * g + q*E

0.0023 * ( 14 * B) = 0.0042 *9.8 + 0.0023 * 26

B = 3.14 T

the magnitude of magnetic feild is 3.14 T

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