Answer:
Approximately
.
Assumption: the ball dropped with no initial velocity, and that the air resistance on this ball is negligible.
Explanation:
Assume the air resistance on the ball is negligible. Because of gravity, the ball should accelerate downwards at a constant
near the surface of the earth.
For an object that is accelerating constantly,
,
where
is the initial velocity of the object,
is the final velocity of the object.
is its acceleration, and
is its displacement.
In this case,
is the same as the change in the ball's height:
. By assumption, this ball was dropped with no initial velocity. As a result,
. Since the ball is accelerating due to gravity,
.
.
In this case,
would be the velocity of the ball just before it hits the ground. Solve for
.
.
Answer:
a.14 s
b.70 s
Explanation:
a.Let the sidewalk moving in positive x- direction.
Speed of sidewalk relative to ground=![v_s=1m/s](https://tex.z-dn.net/?f=v_s%3D1m%2Fs)
Speed of women relative to sidewalk=v=1.5m/s
The speed of women relative to the ground
![v_w=v_s+v=1+1.5=2.5m/s](https://tex.z-dn.net/?f=v_w%3Dv_s%2Bv%3D1%2B1.5%3D2.5m%2Fs)
Distance=35 m
Time=![\frac{distance}{speed}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%7D%7Bspeed%7D)
Using the formula
Time taken by women to reach the opposite end if she walks in the same direction the sidewalk is moving=![\frac{35}{v_w}=\frac{35}{2.5}=14s](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7Bv_w%7D%3D%5Cfrac%7B35%7D%7B2.5%7D%3D14s)
b.If she gets on at the end opposite the end in part (a)
Then, we take displacement negative.
Speed of sidewalk relative to ground=![v_s=1m/s](https://tex.z-dn.net/?f=v_s%3D1m%2Fs)
Speed of women relative to sidewalk=v=-1.5 m/s
The speed of women relative to the ground=![v_w=v_s+v=1-1.5=-0.5m/s](https://tex.z-dn.net/?f=v_w%3Dv_s%2Bv%3D1-1.5%3D-0.5m%2Fs)
Time=![\frac{-35}{-0.5}=70 s](https://tex.z-dn.net/?f=%5Cfrac%7B-35%7D%7B-0.5%7D%3D70%20s)
Hence, the women takes 70 s to reach the opposite end if she walks in the opposite direction the sidewalk is moving.
Answer:
1keff=1k1+1k2
see further explanation
Explanation:for clarification
Show that the effective force constant of a series combination is given by 1keff=1k1+1k2. (Hint: For a given force, the total distance stretched by the equivalent single spring is the sum of the distances stretched by the springs in combination. Also, each spring must exert the same force. Do you see why?
From Hooke's law , we know that the force exerted on an elastic object is directly proportional to the extension provided that the elastic limit is not exceeded.
Now the spring is in series combination
F
e
F=ke
k=f/e.........*
where k is the force constant or the constant of proportionality
k=f/e
............................1
also for effective force constant
divide all through by extension
1) Total force is
Ft=F1+F2
Ft=k1e1+k2e2
F = k(e1+e2) 2)
Since force on the 2 springs is the same, so
k1e1=k2e2
e1=F/k1 and e2=F/k2,
and e1+e2=F/keq
Substituting e1 and e2, you get
1/keq=1/k1+1/k2
Hint: For a given force, the total distance stretched by the equivalent single spring is the sum of the distances stretched by the springs in combination.
Well, conduction is the passing of heat by touch. Convection is the passing along of heat by movement (e.g. hot air rising from a radiator to heat the rest of the room), and radiation is the heating of something through electromagnetic rays without any contact. For example, the earth absorbs the heat radiated from the son (radiation). The air that touches the earth gets warmed up (conduction), and rises, and as it rises, it passes its heat along to more air around it (convection).
<h3>
Answer:</h3>
[C] Velocity.
<h3>
Explanation:</h3>
<u>As we know that</u>,
<u>where, a = acceleration, v = final velocity, u = initial velocity and t = time taken to travel</u>.