Answer:
The question is incomplete, below is the complete question "A particle moves through an xyz coordinate system while a force acts on it. When the particle has the position vector r with arrow = (2.00 m)i hat − (3.00 m)j + (2.00 m)k, the force is F with arrow = Fxi hat + (7.00 N)j − (5.00 N)k and the corresponding torque about the origin is vector tau = (4 N · m)i hat + (10 N · m)j + (11N · m)k.
Determine Fx."
Explanation:
We asked to determine the "x" component of the applied force. To do this, we need to write out the expression for the torque in the in vector representation.
torque=cross product of force and position . mathematically this can be express as
Where
and the position vector
using the determinant method to expand the cross product in order to determine the torque we have
![\left[\begin{array}{ccc}i&j&k\\2&-3&2\\ F_{x} &7&-5\end{array}\right]\\\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C2%26-3%262%5C%5C%20F_%7Bx%7D%20%267%26-5%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C)
by expanding we arrive at
since we have determine the vector value of the toque, we now compare with the torque value given in the question
if we directly compare the j coordinate we have
Answer:
4.55 x 10⁹m
Explanation:
Given parameters:
Mass of object 1 = 3.1 x 10⁵kg
Mass of object 2 = 6.5 x 10³kg
Gravitational force = 65N
Unknown:
Distance between them = ?
Solution:
To solve this problem, we use the expression below from the universal gravitational law;
Fg = 
G = 6.67 x 10⁻¹¹
65 = 
Distance = 4.55 x 10⁹m
<h2>Hello</h2>
The answer is:
<h2>Why?</h2>
Momentum is the quantity of movement of an object, and it's calculated using the mass and the velocity of the object. Momentum is expressed by the following formula:
Where:
So, calculating we have:
Remember,
Have a nice day!
Answer:
Positive z direction.
Explanation:
The magnetic force acting on the electron is given by the formula as :
q is the charge on proton
v is the speed of proton
B is the magnetic field
It is mentioned that the proton is moving with a velocity in the positive x-direction. The uniform magnetic field B in the positive y-direction such taht,
q = +e
v = vi
B = Bj
Since, 
So, the magnetic force acting on the proton in positive z axis. Hence, the correct option is (d) "positive z direction".
