Answer:
![t=750s](https://tex.z-dn.net/?f=t%3D750s)
Explanation:
The two cars are under an uniform linear motion. So, the distance traveled by them is given by:
![\Delta x=vt\\x_f-x_0=vt\\x_f=x_0+vt](https://tex.z-dn.net/?f=%5CDelta%20x%3Dvt%5C%5Cx_f-x_0%3Dvt%5C%5Cx_f%3Dx_0%2Bvt)
is the same for both cars when the second one catches up with the first. If we take as reference point the initial position of the second car, we have:
![x_0_1=6km\\x_0_2=0](https://tex.z-dn.net/?f=x_0_1%3D6km%5C%5Cx_0_2%3D0)
We have
. Thus, solving for t:
![x_0_1+v_1t=x_0_2+v_2t\\x_0_1=t(v_2-v_1)\\t=\frac{x_0_1}{v_2-v_1}\\t=\frac{6*10^3m}{28\frac{m}{s}-20\frac{m}{s}}\\t=750s](https://tex.z-dn.net/?f=x_0_1%2Bv_1t%3Dx_0_2%2Bv_2t%5C%5Cx_0_1%3Dt%28v_2-v_1%29%5C%5Ct%3D%5Cfrac%7Bx_0_1%7D%7Bv_2-v_1%7D%5C%5Ct%3D%5Cfrac%7B6%2A10%5E3m%7D%7B28%5Cfrac%7Bm%7D%7Bs%7D-20%5Cfrac%7Bm%7D%7Bs%7D%7D%5C%5Ct%3D750s)
Answer:
The speed after being pulled is 2.4123m/s
Explanation:
The work realize by the tension and the friction is equal to the change in the kinetic energy, so:
(1)
Where:
![W_T=T*x*cos(0)=32N*3.2m*cos(30)=88.6810J\\W_F=F_r*x*cos(180)=-0.190*mg*x =-0.190*10kg*9.8m/s^{2}*3.2m=59.584J\\ K_i=0\\K_f=\frac{1}{2}*m*v_f^{2}=5v_f^{2}](https://tex.z-dn.net/?f=W_T%3DT%2Ax%2Acos%280%29%3D32N%2A3.2m%2Acos%2830%29%3D88.6810J%5C%5CW_F%3DF_r%2Ax%2Acos%28180%29%3D-0.190%2Amg%2Ax%20%3D-0.190%2A10kg%2A9.8m%2Fs%5E%7B2%7D%2A3.2m%3D59.584J%5C%5C%20K_i%3D0%5C%5CK_f%3D%5Cfrac%7B1%7D%7B2%7D%2Am%2Av_f%5E%7B2%7D%3D5v_f%5E%7B2%7D)
Because the work made by any force is equal to the multiplication of the force, the displacement and the cosine of the angle between them.
Additionally, the kinetic energy is equal to
, so if the initial velocity
is equal to zero, the initial kinetic energy
is equal to zero.
Then, replacing the values on the equation and solving for
, we get:
![W_T+W_F=K_f-K_i\\88.6810-59.5840=5v_f^{2}\\29.097=5v_f^{2}](https://tex.z-dn.net/?f=W_T%2BW_F%3DK_f-K_i%5C%5C88.6810-59.5840%3D5v_f%5E%7B2%7D%5C%5C29.097%3D5v_f%5E%7B2%7D)
![\frac{29.097}{5}=v_f^{2}\\\sqrt{5.8194}=v_f\\2.4123=v_f](https://tex.z-dn.net/?f=%5Cfrac%7B29.097%7D%7B5%7D%3Dv_f%5E%7B2%7D%5C%5C%5Csqrt%7B5.8194%7D%3Dv_f%5C%5C2.4123%3Dv_f)
So, the speed after being pulled 3.2m is 2.4123 m/s
Explanation:
During your menstrual cycle , Harmones make the eggs in your Ovaries mature -
• when an egg is mature , That means it's ready to be fertilized by a sperm cell .
• These hormones also make the lining of your uterus thick and spongy . So if your egg does get Fertilised , It has a nice cushy place to land and start a pregnancy .
<h3>Hope this helps </h3>
Answer:
Since velocity is a speed and a direction, there are only two ways for you to accelerate
Explanation:
change your speed or change your direction—or change both.