The time when the two players will collide is 0.96 s.
The equation of motion of the two players is given as;
x1 = 0.1 m + (–3.9 m/s )t
x2 = –6.3 m + (2.8 m/s )t
The time when the two players collide, their displacement is equal or the difference in their position will be zero.

Thus, the time when the two players will collide is 0.96 s.
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Answer:
The bus moved after our girl Sandy passed out = S = 905.04 m
Explanation:
At t = 0 sec Vi = 80mph = 35.76 m/s
t = 30 sec Vf = 55mph = 24.58 m/s
According to the first equation of motion
<u>Vf = Vi + at</u>
24.587 = 35.76 + a(30)
a = - 0.373 m/s2 (negative sign shows deceleration)
Now for distance travelled in 30 sec we have
second equation of motion
<u> S=Vit+1/2at2</u>
S = 35.76 x 30 + 1/2 x -0.373 x 30 x 30
S = 905.04 m
(a) The electric field strength between two parallel conducting plates does not exceed the breakdown strength for air (
)
(b) The plates can be close together to 1.7 mm with this applied voltage
<u>Explanation:</u>
Given data:
Dielectric strength of air = 
Distance between the plates = 2.00 mm = 
Potential difference, V = 
We need to find
a) whether the electric field strength between two parallel conducting plates exceed the breakdown strength for air or not
b) the minimum distance at which the plates can be close together with this applied voltage.
The voltage difference (V) between two points would be equal to the product of electric field (E) and distance separation (d). The equation form is and apply all given value,

From the above, concluding that The electric field strength between two parallel conducting plates (
) does not exceed the breakdown strength for air (
)
b) To find how close together can the plates be with this applied voltage:
The formula would be,

Apply all known values, we get

Answer: force from sun to mars =
, force from mars to sun = 
Explanation: The force of attraction or repulsion between 2 object ( in this case the sun and mars ) in space is given by newton's law of gravitation which is given mathematically below as

where 
G = gravitational constant,
= mass of mars,
= mass of sun
the mars also exerts the same magnitude of force above on the sun but in the opposite direction, thus the force mars exerts on the sun is 
Answer:
Proof in explanation.
Explanation:
Consider a thin cylinder, whose thickness to diameter ration is less than 1/20, the hoop stress can be derived as follows:
Let,
L = length of cylinder
d = internal diameter of cylinder
t = thickness of wall of cylinder
P = internal pressure
σH = Hoop Stress
σL = Longitudinal Stress
Total force on half-cylinder owing to internal pressure = P x Projected Area = P x dL (Refer fig 9.1)
Total resisting force owing to hoop stress setup in walls = 2 σH L t
Therefore,
P d L = 2 σH L t
σH = Pd/2t _____________ eqn (1)
Now, for longitudinal stress:
Total force on end of cylinder owing to internal pressure = P x Projected Area = P x πd²/4
Area resisting this force = π d t (Refer fig 9.2)
Longitudinal Stress = Force/Area
σL = (Pπd²/4)/(πdt)
σL = Pd/4t ____________ eqn (2)
Dividing eqn (1) by eqn (2)
σH/σL = 2
<u>σH = 2 σL</u> (Hence, Proved)