1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zzz [600]
2 years ago
11

A particle with a charge of − 5.10 nC is moving in a uniform magnetic field of B⃗ =−( 1.20 T )k^. The magnetic force on the part

icle is measured to be F⃗ =−( 3.30×10−7 N )i^+( 7.60×10−7 N )j^.
A) Calculate the x-component of the velocity of the particle
B) Calculate the y-component of the velocity of the particle
C) Calculate the scalar product v⃗ ⋅F
D) What is the angle between v⃗ and F⃗ ? Give your answer in degrees.
Physics
1 answer:
marta [7]2 years ago
6 0

Answer:

Explanation:

Given that,

Charge q=-5.10nC

Magnetic field B= -1.2T k

And the magnetic force

F =−( 3.30×10−7N )i+( 7.60×10−7N )j

Let the velocity be V(xi + yj + zk)

Then, the force is given as

Note i×i=j×j×k×k=0

i×j=k. j×i=-k

j×k=i. k×j=-i

k×i=j. i×k=-j

F= q(v×B)

−( 3.30×10−7N )i+( 7.60×10−7N )j =

q(xi + yj + zk) × -1.2k

−( 3.30×10−7N )i+( 7.60×10−7N )j=

q( -1.2x i×k - 1.2y j×k - 1.2z k×k)

−( 3.30×10−7N )i+( 7.60×10−7N )j=

q( 1.2xj - 1.2y i )

−( 3.30×10−7N )i+( 7.60×10−7N )j=

q( -1.2y i + 1.2x j)

So comparing comparing coefficients

let compare x axis component

-( 3.30×10−7N )i=-1.2qy i

−3.30×10−7N = -1.2qy

y= -3.3×10^-7/-1.2q

y= -3.3×10^-7/-1.2×-5.10×10^-9)

y=-53.92m/s

Let compare y-axisaxis

7.6×10−7N j = 1.2qx j

7.6×10−7N = 1.2qx

x= 7.6×10^-7/-1.2q

x= 7.6×10^-7/1.2×-5.10×10^-9)

x=-124.18m/s

a. Then, the velocity of the x component is x= -124.18m/s

b. Also, the velocity component of the y axis is =-53.92m/s

c. We will compute

V•F

V=-124.18i -53.92j

F=−( 3.30×10−7 N )i+( 7.60×10−7 N )j

Note

i.j=j.i=0. Also i.i = j.j =1

V•F is

(-124.18i-53.92j)•−(3.30×10−7N)i+(7.60×10−7 N )j =

4.1×10^-5 - 4.1×10^-5=0

V•F=0

d. Angle between V and F

V•F=|V||F|Cosx

0=|V||F|Cos

Cosx=0

x= arccos(0)

x=90°

Since the dot product is zero, from vectors , if the dot product of two vectors is zero, then the vectors are perpendicular to each other

You might be interested in
in a cricket match there are 5000 spectators counted 10 by 10 the number of significant figure in the measurement will be
BabaBlast [244]

Answer:

\boxed{3 \ Significant \ figures}

Explanation:

Total spectators = 5000

Counted by the groups of ten, So at last the result will be:

=> 5000/10 = 500

Significant figures in 500 are 3

8 0
3 years ago
A simple machine makes our work easier and faster. why?​
kirill [66]

Answer:

simple machines such as ramps lessen the moment required to do work. if a triangle has a base of 5 and the height  is 7, a ramp would make the hypotenuse of this triangle lessoning the total distance. using a²+b²=c² 25+49=c² 74≈8.6 and it is obvious that 8.6 is less than 12 in every unit. other simple machines such as pulleys make it lighter making it simply easier for an object to be lifted.

Explanation:

4 0
3 years ago
Read 2 more answers
Your mother asks you to carry a load of wood to the fireplace and lower it to the hearth. In doing this you have used your arms
Evgesh-ka [11]

Answer: The correct answer is the weight of the wood.

Explanation:

Hope this helps

8 0
2 years ago
Read 2 more answers
I need help with #10
kherson [118]
Conduction. Because they are connected as they tranfer energy
3 0
3 years ago
The objects shown in the following diagrams have different masses and are different distances apart. Which diagram shows the two
sergiy2304 [10]

Answer:

C. 10kg to 10kg

Explanation:

You have to picture to it I think

5 0
2 years ago
Other questions:
  • a rocket is launched with a constant acceleration straight up. exactly 4.00 seconds after lift off, a bolt falls off the side of
    6·1 answer
  • A student is investigating the best method for heating marshmallows using an open flame.
    11·1 answer
  • A box with a mass of 7 kilograms is pushed up a ramp to a height of 5 meters. What is the work done against the force of gravity
    11·1 answer
  • An inflatable raft (unoccupied) floats down a river at an approximately constant speed of 5.6 m/s. A child on a bridge, 71 m abo
    13·1 answer
  • 620 J of heat is added to the cylinder of an engine, which causes the gas inside to expand. As a result, the piston of the engin
    15·1 answer
  • A 1.6 Kg bird that is flying through the air has 220 J of kinetic energy. How fast is the bird flying?
    15·1 answer
  • oscillating spring mass systems can be used to experimentally determine an unknown mass without using a mass balance. a student
    6·1 answer
  • Pls help Asapppppppppp.It is due in a little bit.
    11·2 answers
  • Suppose we measure the energy stored in some inductor to be E when there is a current I running through it. If I double the curr
    10·1 answer
  • This is my last assignment plz help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!