Answer:
Explanation:
By conservation of energy, speed of the ball going up = speed of ball coming down with the ball stops at the top.
Because the gravity acceleration is constant, by symmetry, half of total time, 6/2 = 3s, is for going up and the last 3s for coming down.
Consider the last 3s when the ball drops from top to bottom, the initial velocity = 0 and acceleration = 10m/s^2
distance traveled = initial velocity * time + 1/2 * acceleration * time^2
= 0*3 + 1/2*10*3^2
= 5*9
= 45m
So maximum height of the ball is 45m.
The resultant of the vectors is
.
<h3>What is a resultant vector?</h3>
A resultant vector is the vector sum of two or more vectors.
The given vectors;
- Height of vector A = HA
- Height of vector B = HB
- Height of vector C = HC
The height of vector B is the resultant of the three given vectors.
When the vectors are drawn from head to tail, the vector B forms the resultant of the two other vectors (A and C).
Thus, the resultant of the vectors is
.
Learn more about resultant vectors here: brainly.com/question/110151
Answer:
Explanation:
During the swing , the center of mass will go down due to which disc will lose potential energy which will be converted into rotational kinetic energy
mgh = 1/2 I ω² where m is mass of the disc , h is height by which c.m goes down which will be equal to radius of disc , I is moment of inertia of disc about the nail at rim , ω is angular velocity .
mgr = 1/2 x ( 1/2 m r²+ mr²) x ω²
gr = 1/2 x 1/2 r² x ω² + 1/2r² x ω²
g = 1 / 4 x ω² r + 1 / 2 x ω² r
g = 3 x ω² r/ 4
ω² = 4g /3 r
= 4 x 9.8 / 3 x .25
= 52.26
ω = 7.23 rad / s .
The energy of the system is E=5.5 J. This energy is the same at every moment of the oscillation. When the stretch x of the spring is maximum (so, when the stretch is equal to the amplitude: x=A) the velocity of the spring is zero, so all this energy is just elastic potential energy of the spring:
![E= \frac{1}{2}kA^2](https://tex.z-dn.net/?f=E%3D%20%5Cfrac%7B1%7D%7B2%7DkA%5E2%20)
From which we find