Dividing x^3 - 3x^2 - 4x + 12 by x + 2 gives
x^2 -5x + 6
= (x - 3)(x - 2)
so remaining factors are x - 3 and x - 2 answer
Answer:
final speed after pure rolling is given as 
Explanation:
As we know that point of contact at ground is taken as reference then there is no external torque about this point on the ball
So we can use angular momentum conservation about this point



so we have


So final speed after pure rolling is given as 
Approximately 15 m/s is the speed of the car.
<u>Explanation:</u>
<u>Given:</u>
speed of sound - 343 m/s
You detect a frequency that is 0.959 times as small as the frequency emitted by the car when it is stationary. So, it can be written as,


If there is relative movement between an observer and source, the frequency heard by an observer differs from the actual frequency of the source. This changed frequency is called the apparent frequency. This variation in frequency of sound wave due to motion is called the Doppler shift (Doppler effect). In general,

Where,
- Observed frequency
f – Actual frequency
v – Velocity of sound waves
– Velocity of observer
- velocity of source
When source moves away from an observer at rest (
), the equation would be



By substituting the known values, we get






Approximately 15 m/s is the speed of the car.
I believe that the answer is A
Answer:
F = 5226.6 N
Explanation:
To solve a lever, the rotational equilibrium relation must be used.
We place the reference system on the fulcrum (pivot point) and assume that the positive direction is counterclockwise
F d₁ = W d₂
where F is the applied force, W is the weight to be lifted, d₁ and d₂ are the distances from the fulcrum.
In this case the length of the lever is L = 5m, t the distance desired by the fulcrum from the weight to be lifted is
d₂ = 200 cm = 2 m
therefore the distance to the applied force is
d₁ = L -d₂
d₁ = 5 -2
d₁= 3m
we clear from the equation
F = W d₂ / d₁
W = m g
F = m g d₂ / d₁
we calculate
F = 800 9.8 2/3
F = 5226.6 N