Answer:
a) t = 0.113 s
, b) W = 0.1756 N
, c) # λ = 49
Explanation:
a) Let's use the relationship
v = λ f
Of the equation
y = 8.55 10-3 cos (172 x + 2730 t)
When comparing this with the general equation
y = A cos (kx - wt)
The wave number k = 172
k = 2π /λ
λ = 2π / 172
λ = 0.03653 m
The angular velocity w = 2730
w = 2π f
f = w / 2π
f = 2730 / 2π
f = 434.49 Hz
The speed of the wave is
v = 0.03653 434.49
v = 15.87 m / s
The speed the wave on a string is constant, so
v = d / t
t = d / v
t = 1.80 /15.87
t = 0.113 s
b) The weight applied to the rope
v = √ T /μ
The density
μ = m / l
μ = (0.0123 / 9.8) /1.80
μ = 6.97 10-4 kg / m
The tension equal to the applied weight
T = v² μ
W = T = 15.87² 6.97 10⁻⁴
W = 0.1756 N
c) let's use a rule of proportions
# λ = 1.8 /0.03653
# λ = 49
Given:
Time: 3.5 hrs
Velocity: 120 miles/hr
Now Distance= Speed × Time
Now Velocity and speed have the same magnitude. Velocity being a vector quantity has a definite direction. Whereas speed is a scalar quantity,it indicates only the magnitude an doesn't define any direction.
Hence Distance = Velocity x time
Distance = 3.5 × 120 = 420 miles
Two acetate rods, both charged with silk would repel because they are both have positively charged electrons.
Explanation: Opposite charges attract. Like charges repel.
Answer:
A
Explanation:
all galaxies exploded in order to create the sun/stars
Answer:
- The total distance traveled is 28 inches.
- The displacement is 2 inches to the east.
Explanation:
Lets put a frame of reference in the problem. Starting the frame of reference at the point with the 0-inch mark, and making the unit vector pointing in the west direction, the ant start at position
Then, moves to
so, the distance traveled here is
after this, the ant travels to
so, the distance traveled here is
The total distance traveled will be:
The displacement is the final position vector minus the initial position vector:
This is 2 inches to the east.