Answer:
Yes it is. So
B. True
Explanation:
Earth's surface is constantly changing. Wind, water, and ice break down large rocks and move sediments on the surface. It usually takes years for weathering, erosion, and deposition to cause noticeable changes. Some events, though, change Earth's surface much more quickly.
H = v 0 y 2 2 g . h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.
Net force = (mass) x (acceleration)
There are two forces acting on the barrel:
-- the force of gravity, downward;
-- the force of the rope, upward.
When these two forces are added together, their sum (the net force
on the barrel) causes the barrel to accelerate upward at 1.4 m/s² .
Net force = (Rope force) - (Grav force) = (mass) x (acceleration)
Grav force = 'weight' = (mass) x (grav) = (16 x 9.8) = 156.8 newtons
Net force = (mass x acceleration) = (16 x 1.4) = 22.4 newtons
Net force =
22.4 newtons = (Rope force) - (156.8 newtons)
Add 156.8 newtons to each side: Rope force = 22.4 + 156.8 = <em>179.2 newtons
</em>
PART A)
horizontal distance that will be moved = 14 m
Height of the fence = 5.0 m
height from which it is thrown = 1.60 m
angle of projection = 54 degree
So here we can say that stone will travel vertically up by distance
now we will have displacement in horizontal direction
now we know that
now we will have
also for y direction
now from the two equations we will have
now from above equations
So the minimum speed will be 13.2 m/s
Part B)
Total time of the motion after which it will land on the ground will be "t"
so its vertical displacement will be
now we will have
Now the time after which it will reach the fence will be t1 = 1.8 s
so total time after which it will fall on other side of fence
now the displacement on the other side is given as
Your book has applied the chain rule to produce:
dv/dt = dv/dx * dx/dt
Now, we can get dv/dx by:
1) Differentiate
x = vt, with respect to v.
dx/dv = t
Now, if we take the inverse of this, we can obtain dv/dx
dv/dx = 1/t
This is also proven by the fact that dv/dx is the change in velocity and if you multiply it by dv/dx, which is equivalent to dividing by the change in time, as we just proved, then you obtain acceleration.