Answer:
the magnitude of the electric field is 1.25 N/C
Explanation:
The induced emf in the cube ε = LB.v where B = magnitude of electric field = 5 T , L = length of side of cube = 1 cm = 0.01 m and v = velocity of cube = 1 m/s
ε = LB.v = 0.01 m × 5 T × 1 m/s = 0.05 V
Also, induced emf in the cube ε = ∫E.ds around the loop of the cube where E = electric field in metal cube
ε = ∫E.ds
ε = Eds since E is always parallel to the side of the cube
= E∫ds ∫ds = 4L since we have 4 sides
= E(4L)
= 4EL
So,4EL = 0.05 V
E = 0.05 V/4L
= 0.05 V/(4 × 0.01 m)
= 0.05 V/0.04 m
= 1.25 V/m
= 1.25 N/C
So, the magnitude of the electric field is 1.25 N/C
Answer:
a) a right triangle, b) x = 0.167 m
Explanation:
a) It is asked to find which geometry figure describes the movement of the ant.
Let's use trigonometry with the angles measured in radians
tan θ = y / x
tan θ = 6/10
θ = tan⁻¹ 0.6
θ = 0.54 rad
this value is equal to the upward slope therefore the geometric body that describes the movement is a right triangle
b) it is asked to find the horizontal displacement for a vertical displacement of y = 0.1 cm x = y / tan tea
x = 0.1 / tan 0.54
x = 0.1668 m
x = 0.167 m
Answer:
Using the range formula R = v^2 sin 2 theta / g
or v^2 = R * g / sin 86.4
v^2 = 3.14 m * 9.81 m/s2 / .998
v^2 = 30.9 m^2 / s^2
v = 5.56 m/s
This hasn't really proved the question - this would give
vy = 5.56 * sin 43.2 = 3.81 m/s
vx = 5.56 * cos 43.2. = 4.05 m/s
t = 1.57 / 4.05 = .387 sec to reach the waterfall
h = 3.81 * .387 - 4.9 (.387)^2 = .74 m well above the height of the falls
There seems another way to do this
vy / vx = tan 43.2 vy = .939 vx
h = vy t - 1/2 g t^2 and t = 1.57 / vx
h = 1.57 tan 43.2 - 4.9 (1.57 / vx)^2
Solving for vx I get vx = 3.26 m/s vy = 3.06 m/s v = 4.47 m/s
The relationship between remoras and sharks is an example of <span>commensalism.
C</span>ommensalism=is a relationship between organisms where an organism benefits from the other without damage it or benefits it.
Answer:
The work done is twice as great for block B because it is moved twice the distance of block A