Question

A proton moves through a region of space where there is a magnetic field B⃗ =(0.57i+0.37j)T...

A proton moves through a region of space where there is a magnetic field B =(0.57i+0.37j)T and an electric field E =(2.7i−4.0j)×103V/m. At a given instant, the proton's velocity is v =(7.0i+2.8j−4.9k)×103m/s.

Determine the components of the total force on the proton.

Fx, Fy, Fz =

Homework Answers

Answer #1

electric force Fe = q*E

magnetic force Fm = q*(v x B)

total force F = Fe + Fm

F = q*(E + vxB)

vxB = ( (7i + 2.8j - 4.9k) x (0.57i + 0.37j) = 7*0.37 k - 2.8*0.57 k - 4.9*0.57 j + 4.9*0.37 i ) * 10^3

v x B = ( 0.994 k - 2.79 j + 1.81 i ) * 10^3

E + vxB = ( (2.7 + 1.81) i + (-4-2.79) j + 0.994 k ) * 10^3

E + vxB = (4.51i - 6.79j + 0.994k)*10^3

F = q*(E + vxB) = (7.21i - 10.86j + 1.59k)*10^(-16) N

Fx = 7.21*10^(-16) N

Fy = - 10.86*10^(-16) N

Fz = 1.59*10^(-16) N

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A proton moves through a region of space where there is a magnetic field B⃗ =(0.65i+0.37j)T...
A proton moves through a region of space where there is a magnetic field B⃗ =(0.65i+0.37j)T and an electric field E⃗ =(3.1i−4.4j)×103V/m. At a given instant, the proton's velocity is v⃗ =(5.4i+2.9j−5.1k)×103m/s. Find Fx, Fy, Fz in N
A proton moves through a region of space where there is a magnetic field B⃗ =(0.64i+0.40j)T...
A proton moves through a region of space where there is a magnetic field B⃗ =(0.64i+0.40j)T and an electric field E⃗ =(3.3i−4.5j)×103V/m. At a given instant, the proton's velocity is v⃗ =(6.6i+2.8j−4.8k)×103m/s. At a given instant, the proton's velocity is v⃗ =(6.6i+2.8j−4.8k)×103m/s. Determine the components of the total force on the proton. Express your answers using two significant figures. Enter your answers numerically separated by commas. Please circle the answer
A proton moves through a region of space where there is a magnetic field B⃗ =(0.64i+0.40j)T...
A proton moves through a region of space where there is a magnetic field B⃗ =(0.64i+0.40j)T and an electric field E⃗ =(3.3i−4.5j)×103V/m. At a given instant, the proton's velocity is v⃗ =(6.6i+2.8j−4.8k)×103m/s. Determine the components of the total force on the proton. Express your answers using two significant figures. Enter your answers numerically separated by commas.
A proton moves through a region of space where there is a magnetic field B=(0.41i+0.38j) T...
A proton moves through a region of space where there is a magnetic field B=(0.41i+0.38j) T and an electric field E=(2.9i−4.4j)×103V/m. At a given instant, the proton's velocity is V=(5.1i+2.9j−5.4k)×103m/s. Determine the components of the total force on the proton.
A proton moves through a magnetic field at 21.1% of the speed of light. At a...
A proton moves through a magnetic field at 21.1% of the speed of light. At a location where the field has a magnitude of 0.00603 T and the proton's velocity makes an angle of 143∘ with the field, what is the magnitude ?B of the magnetic force acting on the proton? Use ?=2.998×108 m/s for the speed of light and ?=1.602×10−19 C as the elementary charge.
An electron with a velocity given by v⃗ =(1.6×105 m/s )x^+(6700 m/s )y^ moves through a...
An electron with a velocity given by v⃗ =(1.6×105 m/s )x^+(6700 m/s )y^ moves through a region of space with a magnetic field B⃗ ==(0.26 T )x^−(0.10 T )z^ and an electric field E⃗ =(220 N/C )x^. Using cross products, find the magnitude of the net force acting on the electron. (Cross products are discussed in Appendix A.) Express your answer using two significant figures.
A 6.60 −μC particle moves through a region of space where an electric field of magnitude...
A 6.60 −μC particle moves through a region of space where an electric field of magnitude 1250 N/C points in the positive x direction, and a magnetic field of magnitude 1.01 T points in the positive z direction. 1. If the net force acting on the particle is 6.25×10^−3 N in the positive x direction, find the components of the particle's velocity. Assume the particle's velocity is in the x-y plane. vx, vy, vz =   m/s  
A 6.70 −μC particle moves through a region of space where an electric field of magnitude...
A 6.70 −μC particle moves through a region of space where an electric field of magnitude 1200 N/C points in the positive x direction, and a magnetic field of magnitude 1.25 T points in the positive z direction. If the net force acting on the particle is 6.21×10−3 N in the positive xx direction, find the components of the particle's velocity. Assume the particle's velocity is in the x-y plane. vx, vy, vz =   answer is 0,219,0 m/s why is...
A 6.70 −μC particle moves through a region of space where an electric field of magnitude...
A 6.70 −μC particle moves through a region of space where an electric field of magnitude 1250 N/C points in the positive x direction, and a magnetic field of magnitude 1.03 T points in the positive z direction. .If the net force acting on the particle is 6.22×10−3 N in the positive x direction, find the components of the particle's velocity. Assume the particle's velocity is in the x-y plane?
A 6.70 -microC particle moves through a region of space where an electric field of magnitude...
A 6.70 -microC particle moves through a region of space where an electric field of magnitude 1250 N/C points in the positive x direction, and a magnetic field of magnitude 1.24 T points in the positive z direction. If the net force acting on the particle is 6.25×10?3 N in the positive x direction, find the components of the particle's velocity. Assume the particle's velocity is in the x-y plane. vx, vy, vz =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • A sample is obtained from a population with u=40 and o=6. Which of the following sample...
    asked 5 minutes ago
  • In a survey, 11 people were asked how much they spent on their child's last birthday...
    asked 23 minutes ago
  • Discussion 7.1: Practice Critical Thinking How well do you understand this material? Reading the material is...
    asked 24 minutes ago
  • A credit score measures a​ person's creditworthiness. Assume the average credit score for Americans is 709....
    asked 27 minutes ago
  • A Database Administrator (DBA) is play both managerial role and technical role in a modern organization;...
    asked 43 minutes ago
  • The Federal Election Commission collects information about campaign contributions and disbursements for candidates and political committees...
    asked 43 minutes ago
  • In the week before and the week after a​ holiday, there were 10,000 total​ deaths, and...
    asked 45 minutes ago
  • 1. Identify the vertex of the quadratic equation y=2x2+8x-10. using the formula 2. Write the equation...
    asked 1 hour ago
  • How well do you understand this material? Reading the material is separate than understanding it; further,...
    asked 1 hour ago
  • Analyze the behavior of capacitors under steady state direct current and high frequency AC current (500...
    asked 1 hour ago
  • Traffic on the eastbound approach of a signalized intersection is traveling at 48 km/h, with a...
    asked 1 hour ago
  • Students in a chemistry class convince their teacher to use the following "group grading" scenario. Students...
    asked 1 hour ago