Describe the two dimensions of the motion of an object in a circle due to centripetal force. Explain why putting them together r
1 answer:
The characteristics of cimematica we can analyze the circular motion.
- Circular motion is the combination of perpendicular linear motions through the Pythagorean theorem.
Kinematics describes the motion of bodies, looking for relationships between position, velocity, and acceleration.
In a circular motion we can analyze it as an oscillatory motion on the x-axis and another on the y-axis, both with the same angular velocity.
x = Aₓ cos wt
y = A_y sin wt.
The resulting position can be found using the Pythagorean theorem.
R² = x² + y ²
R² = Aₓ² cos2 + sin wt
R² =
if the two displacements are equal, the movement is circular and if they are different, the movement is elliptical.
Consequently, a movement in several dimensions can be analyzed as several movements, one in each dimension.
In conclusion using the characteristics of cimematica we can analyze the circular motion:
- Circular motion is the combination of linear motions through the Pythagorean theorem.
Learn more about circular motion here: brainly.com/question/2285236
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Answer:
a) 4.2m/s
b) 5.0m/s
Explanation:
This problem is solved using the principle of conservation of linear momentum which states that in a closed system of colliding bodies, the sum of the total momenta before collision is equal to the sum of the total momenta after collision.
The problem is also an illustration of elastic collision where there is no loss in kinetic energy.
Equation (1) is a mathematical representation of the the principle of conservation of linear momentum for two colliding bodies of masses and
whose respective velocities before collision are
and
;
where and
are their respective velocities after collision.
Given;
Note that =0 because the second mass
was at rest before the collision.
Also, since the two masses are equal, we can say that so that equation (1) is reduced as follows;
m cancels out of both sides of equation (2), and we obtain the following;
a) When , we obtain the following by equation(3)
b) As stops moving
, therefore,