What is the name of the theory that led to the development of the theory of plate tectonics
2 answers:
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Answer:
A)
the minimum stopping distance for which the load will not slide forward relative to the truck is 14 m
B)
data that were not necessary to the solution are;
a) mass of truck and b) mass of load
Explanation:
Given that;
mass of load = 10000 kg
mass of flat bed = 20000 kg
initial speed of truck = 12 m/s
coefficient of friction between the load sits and flat bed μs = 0.5
A) the minimum stopping distance for which the load will not slide forward relative to the truck.
Now, using the expression
Fs,max = μs -------------let this be equation 1
where = normal force = mg
so
Fs,max = μs mg
ma = μs mg
divide through by mass
a = μs g ---------- let this be equation 2
in equation 2, we substitute in our values
a = 0.5 × 9.8 m/s²
a = 4.9 m/s²
now, from the third equation of motion
v² = u² + 2as
² =
² + 2aΔx
where is final velocity ( 0 m/s )
a is acceleration( - 4.9 m/s² )
so we substitute
(0)² = (12 m/s)² + 2(- 4.9 m/s² )Δx
0 = 144 m²/s² - 9.8 m/s²Δx
9.8 m/s²Δx = 144 m²/s²
Δx = 144 m²/s² / 9.8 m/s²
Δx = 14 m
Therefore, the minimum stopping distance for which the load will not slide forward relative to the truck is 14 m
B) data that were not necessary to the solution are;
a) mass of truck and b) mass of load
Answer:
Approximately (assuming that air resistance is negligible.)
Explanation:
Let denote the initial velocity of this ball. Let
denote the angle of elevation of that velocity.
The initial velocity of this ball could be decomposed into two parts:
- Initial vertical velocity:
.
- Initial horizontal velocity:
.
If air resistance on this ball is negligible, alone would be sufficient for finding the time of flight of this ball.
Calculate given that
and
:
.
Assume that air resistance on this ball is zero. Right before the ball hits the ground, the vertical velocity of this ball would be exactly the opposite of the value when the ball was launched.
Since , the vertical velocity of this ball right before landing would be
.
Calculate the change to the vertical velocity of this ball:
.
In other words, the vertical velocity of this ball should have change by during the entire flight (from the launch to the landing.)
The question states that the gravitational field strength on this ball is . In other words, the (vertical) downward gravitational pull on this ball could change the vertical velocity of the ball by
each second. What fraction of a second would it take to change the vertical velocity of this ball by
?
.
In other words, it would take to change the velocity of this ball from the initial velocity at launch to the final velocity at landing. Therefore, the time of the flight of this ball would be
.