Answer:
the speed of the center of mass of the two-particle system is 3.4 m/s.
Explanation:
Given that,
Mass of particle 1, m = 2 kg
Velocity of the particle 1, v = 4 m/s in +x direction
Mass of particle 2, m' = 3 kg
Velocity of the particle 2, v' = 5 m/s in +y direction.
The x -coordinate of velocity of the centre of mass is given by :
The y -coordinate of velocity of the centre of mass is given by :
So, the the speed of the center of mass of the two-particle system given by :
So, the speed of the center of mass of the two-particle system is 3.4 m/s.
Because different materials have different molecular organizations.
Answer:
magnitude=34.45 m
direction=
Explanation:
Assuming the initial point P1 of this vector is at the origin:
P1=(X1,Y1)=(0,0)
And knowing the other point is P2=(X2,Y2)=(19.5,28.4)
We can find the magnitude and direction of this vector, taking into account a vector has a initial and a final point, with an x-component and a y-component.
For the magnitude we will use the formula to calculate the distance between two points:
(1)
(2)
(3)
(4) This is the magnitude of the vector
For the direction, which is the measure of the angle the vector makes with a horizontal line, we will use the following formula:
(5)
(6)
(7)
Finding :
(8)
(9) This is the direction of the vector
Answer:
Approximately .
Explanation:
Consider two objects of mass and . Let denote the distance between the center of mass of each object. Let denote the gravitational constant. (.)
By Newton's Law of Universal Gravitation, the size of gravitational attraction between these two objects would be:
.
In this question, and are the mass of the two planets. The distance between the two planets is (approximately the same as the distance between the center of mass of planet Earth and the center of mass of Mars.)
Apply Newton's Law of Universal Gravitation to find the size of gravitational attraction between the two planets:
.
Since , the size of gravitational attraction between the two planets would be approximately .