Answer:
Explanation:
A law and theory are distinct levels in the scientific method. They do not lead to one another.
A law is a description of an observed phenomenon in the natural world. Laws are always true and do not provide explanations as to why they hold true.
A theory is an explanation of an observed phenomenon. It is usually based on experimental evidence and bounded most time in the limits of available data.
- A law cannot be deposed. It is a fact and holds true at all times.
- Theories can be discarded even with new technological advancements that provides a new way of study.
- This is why it is not a fact.
Answer:
a) x = v₀² sin 2θ / g
b) t_total = 2 v₀ sin θ / g
c) x = 16.7 m
Explanation:
This is a projectile launching exercise, let's use trigonometry to find the components of the initial velocity
sin θ = / vo
cos θ = v₀ₓ / vo
v_{oy} = v_{o} sin θ
v₀ₓ = v₀ cos θ
v_{oy} = 13.5 sin 32 = 7.15 m / s
v₀ₓ = 13.5 cos 32 = 11.45 m / s
a) In the x axis there is no acceleration so the velocity is constant
v₀ₓ = x / t
x = v₀ₓ t
the time the ball is in the air is twice the time to reach the maximum height, where the vertical speed is zero
v_{y} = v_{oy} - gt
0 = v₀ sin θ - gt
t = v_{o} sin θ / g
we substitute
x = v₀ cos θ (2 v_{o} sin θ / g)
x = v₀² /g 2 cos θ sin θ
x = v₀² sin 2θ / g
at the point where the receiver receives the ball is at the same height, so this coincides with the range of the projectile launch,
b) The acceleration to which the ball is subjected is equal in the rise and fall, therefore it takes the same time for both parties, let's find the rise time
at the highest point the vertical speed is zero
v_{y} = v_{oy} - gt
v_{y} = 0
t = v_{oy} / g
t = v₀ sin θ / g
as the time to get on and off is the same the total time or flight time is
t_total = 2 t
t_total = 2 v₀ sin θ / g
c) we calculate
x = 13.5 2 sin (2 32) / 9.8
x = 16.7 m
This is true. There is a downward force on the table that stabilizes the rock to stay there.
Answer:
The time period of the empty car will be "1.00 s".
Explanation:
The given values in the question will be:
Mass,
m = 250 kg
Loaded car's time period will be:
T = 1.08 s
Shock absorbers compression,
x = 4 cm
or,
= 0.04 m
Now,
Weight of passengers will be:
⇒
The spring constant of shock absorbers will be:
⇒
As we know,
Time period,
On substituting the values, we get
(Total mass of car as well as its passengers)
Now,
The mass of the empty car will be:
⇒
hence,
The time period of empty car will be:
⇒
or,
To calculate the acceleration of the baseball, we use the expression F = ma where F is the force, m is the mass of the object and a is the acceleration. We calculate as follows:
F = ma
18000 = 0.15a
a = 120000 <span>m/s^2 ------> SECOND OPTION</span>