Answer:
<h3>The answer is 24.2 kgm/s</h3>
Explanation:
The momentum of an object can be found by using the formula
<h3>momentum = mass × velocity</h3>
From the question
mass = 11 kg
velocity = 2.2 m/s
We have
momentum = 11 × 2.2
We have the final answer as
<h3>24.2 kgm/s</h3>
Hope this helps you
Answer:
a) v = 1524.7 m/s
b) T = 8.47*10^-4 s
λ = 1.29 m
Explanation:
a) First, in order to calculate the speed of the sound wave, you take into account that the velocity is constant, then, you use the following formula:

d: distance traveled by the sound wave, which is twice the distance to the ocean bottom = 2*324 m = 648 m
t: time that sound wave takes to return to the sub = 0.425

hence, the speed of the sound wave is 1524.7 m/s
b) Next, with the value of the velocity of the wave you can calculate the wavelength of the wave, by using the following formula:

f: frequency = 1.18*10^3 Hz

And the period is:

hence, the wavelength and period of the sound wave is, respectively, 1.29m and 8.47*10^-4 s
Answer:
The sum of the lengths of the sides is 2292 yards and the sum of the lengths of the triangle is 3056 yards
Explanation:
Since y represents the length of fence that is opposite (parallel) to the river and x represent the length of fence perpendicular to the river.
Therefore since we can use 3,056 yards of fencing
Side perpendicular to the river = x and,
Side opposite to the river = y = 3056 - 2x
The area of the rectangle formed (A) = Perpendicular side × Parallel side
∴ A = x(3056 - 2x) = 3056x - 2x²
A = 3056x - 2x²
To maximize the area, A' (dA/dx) = 0
∴ A' = 3056 - 4x = 0
3056 - 4x = 0
4x = 3056
x = 764 yards
y = 3056 - 2x = 3056 - 2(764) = 1528 yards.
Side perpendicular to the river = 764 yards and,
Side opposite to the river = 1528 yards
The sum of the lengths of the sides = 764 + 1528 = 2292 yard and the sum of the lengths of the triangle = 764 + 764 + 1528 = 3056 yards
Light travels at a speed of:

The distance between Mercury and Sun is

, so the time it takes is

if we want to convert this into minutes, keeping in mind that 1 min = 60 seconds, we should divide this value by 60: