I think its 13...........
Answer: car B has travelled 4times as far as Car A
d=vi*t+1/2at^2
No initial velocity so equation becomes;
d=1/2at^2 and the acceleration is the same between both only time is different;
Car A d=1/2a(1)^2
Car B d=1/2a(2)^2
Car A d= 1^2=1
Car B d= 2^2=4
Car B d=4*Car A
So car B has travelled 4 times as far as car A
The period of the pendulum is 8.2 s
Explanation:
The period of a simple pendulum is given by the equation:
![T=2\pi \sqrt{\frac{L}{g}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7BL%7D%7Bg%7D%7D)
where
L is the length of the pendulum
g is the acceleration of gravity
T is the period
We notice that the period of a pendulum does not depend at all on its mass, but only on its length.
For the pendulum in this problem, we have
L = 16.8 m
and
(acceleration of gravity)
Therefore the period of this pendulum is
![T=2\pi \sqrt{\frac{16.8}{9.8}}=8.2 s](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B16.8%7D%7B9.8%7D%7D%3D8.2%20s)
#LearnWithBrainly
For this case, the first thing you should do is define a reference system.
Once the system is defined, we must follow the following steps:
1) Do the sum of forces in a horizontal direction
2) Do the sum of forces in vertical direction
The forces will be balanced if for each direction the net force is equal to zero.
The forces will be unbalanced if for each direction the net force is nonzero.
Answer:
Add the forces in the horizontal and vertical directions separately.
The resulting change in momentum of the system will be +18.6 Ns. The momentum is conserved.
<h3>What is the law of conservation of momentum?</h3>
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
The given data in the problem is;
m is the mass =6.0 kg
t is the time interval=2 second
From Newton's second law;
![\rm \triangle P =m \triangle V \\\\ \triangle P= m(\frac{\triangle x}{\triangle t} )\\\\](https://tex.z-dn.net/?f=%5Crm%20%5Ctriangle%20P%20%3Dm%20%5Ctriangle%20V%20%5C%5C%5C%5C%20%5Ctriangle%20P%3D%20m%28%5Cfrac%7B%5Ctriangle%20x%7D%7B%5Ctriangle%20t%7D%20%29%5C%5C%5C%5C)
From the graph;
![\rm \triangle t = 2sec\\\\ \triangle x = (12-8) m](https://tex.z-dn.net/?f=%5Crm%20%5Ctriangle%20t%20%3D%202sec%5C%5C%5C%5C%20%5Ctriangle%20x%20%3D%20%2812-8%29%20m)
The change in the momentum is;
![\rm \triangle P = m\tr(\frac{v-u}{t}) \\\\ \triangle P =9.3 \times \frac{12-8}{2} \\\\ \triangle P= +18.6 \ N.s](https://tex.z-dn.net/?f=%5Crm%20%5Ctriangle%20P%20%3D%20m%5Ctr%28%5Cfrac%7Bv-u%7D%7Bt%7D%29%20%5C%5C%5C%5C%20%5Ctriangle%20P%20%3D9.3%20%5Ctimes%20%5Cfrac%7B12-8%7D%7B2%7D%20%5C%5C%5C%5C%20%5Ctriangle%20P%3D%20%2B18.6%20%5C%20%20N.s)
Hence, the resulting change in momentum of the system will be +18.6 Ns.
To learn more about the law of conservation of momentum, refer;
brainly.com/question/1113396
#SPJ1