Answer: His average speed in mph over the last 400 m is 7.7 m/s.
Explanation:
Given: Hicham El Guerrouj of Morocco holds the world record in the 1500 m running race. He ran the final 400 m in a time of 51.9 s.
We know that , speed = 
Here , distance = 400m and time = 51.9 s
Then, speed = 
Hence, his average speed in mph over the last 400 m is 7.7 m/s.
Answer:
Magnitude of the force is 2.135N and the direction is 41.8° below negative y-axis
Explanation:
The stiff wire 50.0cm long bent at a right angle in the middle
One section lies along the z axis and the other is along the line y=2x in the xy plane

tan θ = 2
Therefore,
slope m = tan θ = y / x

Then length of each section is 25.0cm
so, length vector of the wire is

And magnetic field is B = (0.318T)i
Therefore,

![\bar F = (20.0)[(0.112m)i +(0.224m)j-(0.250m)k \times 90.318T)i]](https://tex.z-dn.net/?f=%5Cbar%20F%20%3D%20%2820.0%29%5B%280.112m%29i%20%2B%280.224m%29j-%280.250m%29k%20%5Ctimes%2090.318T%29i%5D)
![= (20.0)(i(0)+j(-0.250)(0.318T)+k[0-(0.224m)(0.318T)]\\\\=(20.0)(-0.250)(0.318)j-(20.0)(0.224)(0.318T)\\\\=-(1.59N)j-(1.425N)k](https://tex.z-dn.net/?f=%3D%20%2820.0%29%28i%280%29%2Bj%28-0.250%29%280.318T%29%2Bk%5B0-%280.224m%29%280.318T%29%5D%5C%5C%5C%5C%3D%2820.0%29%28-0.250%29%280.318%29j-%2820.0%29%280.224%29%280.318T%29%5C%5C%5C%5C%3D-%281.59N%29j-%281.425N%29k)
Magnitude of the force is

Direction is

Magnitude of the force is 2.135N and the direction is 41.8° below negative y-axis
Answer:
The ratio is
Explanation:
From the question we are told that
The radius of Phobos orbit is R_2 = 9380 km
The radius of Deimos orbit is 
Generally from Kepler's third law

Here M is the mass of Mars which is constant
G is the gravitational constant
So we see that 
=> ![[\frac{T_1}{T_2} ]^2 = [\frac{R_1}{R_2} ]^3](https://tex.z-dn.net/?f=%5B%5Cfrac%7BT_1%7D%7BT_2%7D%20%5D%5E2%20%3D%20%20%5B%5Cfrac%7BR_1%7D%7BR_2%7D%20%5D%5E3)
Here
is the period of Deimos
and
is the period of Phobos
So
![[\frac{T_1}{T_2} ] = [\frac{R_1}{R_2} ]^{\frac{3}{2}}](https://tex.z-dn.net/?f=%5B%5Cfrac%7BT_1%7D%7BT_2%7D%20%5D%20%3D%20%20%5B%5Cfrac%7BR_1%7D%7BR_2%7D%20%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
=> ![\frac{T_1}{T_2} = [\frac{23500 }{9380} ]^{\frac{3}{2}}]](https://tex.z-dn.net/?f=%5Cfrac%7BT_1%7D%7BT_2%7D%20%20%3D%20%20%5B%5Cfrac%7B23500%20%7D%7B9380%7D%20%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5D)
=>