Answer:
s = mV/2b
Assumptions: 1. the darts finally velocity is zero
2. The force being exerted on the dart by the block is constant and so the dart moves through the block with constant acceleration in the opposite direction. (Newton's second law)
3. Since the acceleration of the dart through the block is constant, then the equations of constant acceleration motion apply to the motion of the dart through the block.
Explanation:
Let a = acceleration of the dart through the block
V = velocity of the dart
m = mass of the dart
Vf = finally velocity of the dart
S = distance traveled by the dart through the block.
From Newton's second law of motion which states that the acceleration of a body is in the same direction as the net force acting on the body and is equal to the force divided by the mass. That is F = ma
Also F = -bv ........(1)
Therefore -bv = ma........(2)
From the equals of constant acceleration motion, Vf² = V² + 2aS
Vf = 0
0² = V² + 2aS
-2aS = V²
a = -V² / 2S
Substituting this expression for a in
Equation (2) above
-bV = m( - V²/2S)
On rearranging,
S = mV/2b
Assuming that the collision is inelastic that is they are stuck together after the collision, momentum is conserved. We can determine the final velocity of the final mass as follows:
m1v1 + m2v2 = m3v3
100(4) + (200)(-3) = (300)v3
v3 = -0.6667 m/s
Therefore, the final mass moves at 0.6667 m/s to the left.
Pressure = F/A
Where,
F = Force exerted = 150 N
A = Area = 1*0.5 = 0.5 m^2
Therefore,
Pressure exerted by wind on the wind = 150/0.5 = 300 N/m^2
1 N/m^2 = 1 Pa,
Then,
Pressure, P = 300 Pa
Yes, it is already happening. About 270 million years ago the continents collided to form Pangea, and now, after the continents separated they continue to drift apart. Attached is a picture of what it may all look like when they recollide. Scientist are still not really sure.
V=IR
Total resistance R=2.5*4=10ohms
15=I*10
I=1.5 amps
Power=I^2R where R here is one lamp so
P=1.5^2*2.5=5.625 Watts