Answer:
t = 6.09 seconds
Explanation:
Given that,
Speed, v = 44.1 cm/s
Distance, d = 269 cm
We need to find the time interval of the marble. Speed is distance per unit time.
![v=\dfrac{d}{t}\\\\\implies t=\dfrac{d}{v}\\\\t=\dfrac{269\ \text{cm}}{44.1\ \text{cm/s}}\\\\t=6.09\ s](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bd%7D%7Bt%7D%5C%5C%5C%5C%5Cimplies%20t%3D%5Cdfrac%7Bd%7D%7Bv%7D%5C%5C%5C%5Ct%3D%5Cdfrac%7B269%5C%20%5Ctext%7Bcm%7D%7D%7B44.1%5C%20%5Ctext%7Bcm%2Fs%7D%7D%5C%5C%5C%5Ct%3D6.09%5C%20s)
Hence, the time interval of the marble is 6.09 seconds.
Answer: 71.93 *10^3 N/C
Explanation: In order to calculate the electric field from long wire we have to use the Gaussian law, this is:
∫E*dr=Q inside/εo Q inside is given by: λ*L then,
E*2*π*r*L=λ*L/εo
E= λ/(2*π*εo*r)= 4* 10^-6/(2*3.1415*8.85*10^-12*2 )= 71.93 * 10^3 N/C
Answer:
F=m(11.8m/s²)
For example, if m=10,000kg, F=118,000N.
Explanation:
There are only two vertical forces acting on the rocket: the force applied from its thrusters F, and its weight mg. So, we can write the equation of motion of the rocket as:
![F-mg=ma](https://tex.z-dn.net/?f=F-mg%3Dma)
Solving for the force F, we obtain that:
![F=ma+mg=m(a+g)](https://tex.z-dn.net/?f=F%3Dma%2Bmg%3Dm%28a%2Bg%29)
Since we know the values for a (2m/s²) and g (9.8m/s²), we have that:
![F= m(2m/s^{2}+9.8m/s^{2})\\\\F=m(11.8m/s^{2})](https://tex.z-dn.net/?f=F%3D%20m%282m%2Fs%5E%7B2%7D%2B9.8m%2Fs%5E%7B2%7D%29%5C%5C%5C%5CF%3Dm%2811.8m%2Fs%5E%7B2%7D%29)
From this relationship, we can calculate some possible values for F and m. For example, if m=10,000kg, we can obtain F:
![F=(10,000kg)(11.8m/s^{2})\\\\F=118,000N](https://tex.z-dn.net/?f=F%3D%2810%2C000kg%29%2811.8m%2Fs%5E%7B2%7D%29%5C%5C%5C%5CF%3D118%2C000N)
In this case, the force from the rocket's thrusters is equal to 118,000N.