initial velocity is given as 41 km/h at 60 degree North of West


After some time the velocity is given as

now we can find the acceleration



now the distance is given by




so the magnitude of distance is

Newton's law of gravitation
F=ma
For the first (10kg) cart,
12=10a
a=6/5 m/s^2 to the left
For the second (5kg) cart,
8=5a
a=8/5 m/s^2 to the left
Therefore, the lighter (5kg) cart experiences a greater acceleration.
The difference between the measures of the intercepted arcs of the given circle is 45°.
A circle is defined as the set of points in a plane equidistant to each, such that it forms a closed two-dimensional figure, which is known as a circle.
- A line intersecting a circle at a minimum of two distinct points is known as a secant and the line touching the circle at only one point, is known as the tangent of a circle.
- The intercepted arc is the section of the circumference of a circle such that it is either encased by two chords or a line segment, meeting at a single point.
We are given that the angle subtended by secant and tangent, outside the circle is,

And angle measured inside the circle is,

So, the difference between the measures of the intercepted arcs is,

Thus, we can conclude that the difference between the measures of the intercepted arcs of the given circle is 45°.
learn more about the tangent here:
brainly.com/question/14022348
Answer:
Delta pressure = 45938[Pa]
Explanation:
This is a classic bernoulli equation problem, but first we must find the velocity at both ends of the pipe, knowing the diameters of each end.
![Q=V*\frac{\pi*d^{2} }{4} \\where:\\V = velocity[m/s]\\d = diameter [m]\\Q = volumetric flow[m^{3}/s]](https://tex.z-dn.net/?f=Q%3DV%2A%5Cfrac%7B%5Cpi%2Ad%5E%7B2%7D%20%7D%7B4%7D%20%5C%5Cwhere%3A%5C%5CV%20%3D%20velocity%5Bm%2Fs%5D%5C%5Cd%20%3D%20diameter%20%5Bm%5D%5C%5CQ%20%3D%20volumetric%20flow%5Bm%5E%7B3%7D%2Fs%5D)
![Q=55[\frac{Lt}{s}] * \frac{1m^3}{1000Lt}\\Q=0.055[\frac{m^3}{s}]](https://tex.z-dn.net/?f=Q%3D55%5B%5Cfrac%7BLt%7D%7Bs%7D%5D%20%2A%20%5Cfrac%7B1m%5E3%7D%7B1000Lt%7D%5C%5CQ%3D0.055%5B%5Cfrac%7Bm%5E3%7D%7Bs%7D%5D)
Now we can calculate the two velocites VA and VB
Using the bernoulli equation we have:

Where ro = density of water = 1000[kg/m^3]
![P_{B}-P_{A}= 1000*(7^2-1.75^2)\\P_{B}-P_{A}= 45937.5[Pa]](https://tex.z-dn.net/?f=P_%7BB%7D-P_%7BA%7D%3D%201000%2A%287%5E2-1.75%5E2%29%5C%5CP_%7BB%7D-P_%7BA%7D%3D%2045937.5%5BPa%5D)