Answer:

Explanation:
Given:
- spring constant of the spring attached to the input piston,

- mass subjected to the output plunger,

<u>Now, the force due to the mass:</u>



<u>Compression in Spring:</u>



or

Answer:
3 hours
Explanation:
Given:
- The speed of Ben v_b = 3 mi/h
- The speed of Amanda v_a = 6 mi/h
- The total time taken to cover distance(d) by ben = t_b
Find:
How long will it be before Amanda catches up to Ben?
Solution:
- The distance d traveled by Ben:
d = v_b*t_b
d = 3*t_b
- The distance d traveled by Amanda:
d = v_a*t_a
d = 6*t_a
- Equate the distance as when they meet:
3*t_b = 6*t_a
- Where ,
t_b = t_a + 1.5
t_a = t_b - 1.5
- Substitute the time relationship in distance relationship:
3*t_b = 6*(t_b - 1.5)
3*t_b = 6*1.5
t_b = 2*1.5 = 3 h
- Hence, It would take 3 hours since Ben starts walking that amanda catches up.
A) f = 1.8 rev/s = 2 Hz
<span>T = 1 / f = 0.55s
B) not really sure..srry
C) </span><span>T = 2 pi √ ( L / g ) </span>
<span>0.57 = 2 x 3.14 x √ ( 0.2 / g )
</span><span>
g = 25.5 m/s²
</span>
Hope this helps a little at least.. :)
Answer:
The speed is
.
(a) is correct option.
Explanation:
Given that,
Potential difference 
Speed 
If it were accelerated instead
Potential difference 
We need to calculate the speed
Using formula of initial work done on proton

We know that,


Put the value into the formula

....(I)
If it were accelerated instead through a potential difference of
, then it would gain a speed will be given as :
Using an above formula,

Put the value of 



Hence, The speed is
.
IT IS EASIER TO CLIMB A SLANTED SLOPE