Given that.
F=3•i+4•j
And it from point (0,0)m to (5,6)m
dx=final position - initial position
dx=(5,6)-(0,0)
dx=(5,6)m
dx=5•i +6•j
Work done by the force is give by
W = F•dx
W=F•dx
Note that i•i=j•j=1 and i•j=j•i=0
Then,
W=(3i+4j)•(5i+6j)
Therefore,
W=3i•(5i+6j)+4j•(5i+6j)
W=15i•i+18i•j+20j•i+24j•j
W=15+0+0+24
W=39J
Then the work done by the force is 39 Joules
Answer:
The answer is "
".
Explanation:
Formula for calculating the mass in He:


Formula for calculating the mass in
:


by using the temperature balancing the equation:


Explanation:
The aircraft is traveling north at 100 m/s.
The wind blows from the west (towards the east) at 25 m/s.
The two vectors form a right triangle. The magnitude of the resultant velocity can be found with Pythagorean theorem:
v² = vx² + vy²
v² = (25 m/s)² + (100 m/s)²
v = 103 m/s
The direction can be found with trigonometry:
θ = atan(vy / vx)
θ = atan(100 / 25)
θ = 76.0°
The resultant velocity is 103 m/s at 76.0° north of east.
Answer:
The polarity of the magnetic field changes
Explanation:
This because The magnetic field generated is always perpendicular to the direction of the current and parallel to the solonoid. Hence if we reverse the current the direction of magnetism also reverses. In other words the magnetic poles gets reversed (North pole becomes south pole and the south pole becomes the north pole)