Explanation:
Given that,
Force, 
Position of the particle, 
(a) The toque on a particle about the origin is given by :


Taking the cross product of above two vectors, we get the value of torque as :

(b) Let
is the angle between r and F. The angle between two vectors is given by :




The force per unit of length between two wires carrying current is

where I1 and I2 are the currents in the two wires, while r is the distance between them.
We can see from the formula that the force is proportional to the product between I1 and I2:

so, if we double both I1 and I2, we get a factor 4:

so, the force between the wires will be 4 times the original value.
Answer:
option D
Explanation:
The correct answer is option D
Potential energy of an object is because of its location.
Expression of potential energy
P E = m g H
where H is the height of the object.
g is acceleration due to gravity, 9.8 m/s²
m is the mass of the object.
Potential energy is directly proportional to the location of the object.
If the height of the object is more than the potential energy of the object will also increase.
Ok so this is a kinetic and potential energy problem. KE= 1/2*m*v^2 and PE= mgh so we set them equal to each other and get KE=PE so 1/2mv^2=mgh so mass divers out and left with 1/2v^2 =gh so solving for h or height we get
h=(1/2v^2)/g so h= 1/2*(6.5m/s)^2/9.80m/s^2 = 2.16m in height the ball will reach.
Hope this helps! Any questions please just ask!
Please rate to help me out also! Thank you so much!!!
Answer:
Angle=70°
Explanation:
Given data
a=2i-5j+k
b=9i-k
To find
Angle Θ
Solution
As we know from dot product rule that

First we need to find a.b
As
i.i=j.j=k.k=1
i.j=i.k=j.k=0
So

Now for |a| and |b|

So the angle is given as
