Answer:
the width of the turning roadway = 15 ft
Explanation:
Given that:
A ramp from an expressway with a design speed(u) = 30 mi/h connects with a local road
Using 0.08 for superelevation(e)
The minimum radius of the curve on the road can be determined by using the expression:

where;
R= radius
= coefficient of friction
From the tables of coefficient of friction for a design speed at 30 mi/h ;
= 0.20
So;



R = 214.29 ft
R ≅ 215 ft
However; given that :
The turning roadway has stabilized shoulders on both sides and will provide for a onelane, one-way operation with no provision for passing a stalled vehicle.
From the tables of "Design widths of pavement for turning roads"
For a One-way operation with no provision for passing a stalled vehicle; this criteria falls under Case 1 operation
Similarly; we are told that the design vehicle is a single-unit truck; so therefore , it falls under traffic condition B.
As such in Case 1 operation that falls under traffic condition B in accordance with the Design widths of pavement for turning roads;
If the radius = 215 ft; the value for the width of the turning roadway for this conditions = 15ft
Hence; the width of the turning roadway = 15 ft
Answer:
W = 1 mJ
V_new = 2000 V
W_new = 2 mJ
The extra energy came from the work done from moving the plates
Explanation:
We are given;
Capacitance; C = 1000pF = 10^(-9) F
Voltage; V = 1000V
Now,formula for stored energy in a parallel plate capacitor is given by;
W = (1/2)CV² = (1/2)(10^(-9))(1000²) = 0.5 mJ
However, in this case, it's W = 0.5 x 2 = 1 mJ since parallel-plate capacitor with air dielectric
When plates are moved and distance between plates is doubled(net charge is the same), thus we can calculate voltage from;
Q = CV
Since, C_new = C/2
Thus,
Q = (C/2)V_new
V_new = 2Q/C
Thus, V_new = 2V
Thus, V_new = 2 x 1000 = 2000 V
Now,
W_new = (1/2)C_new•(V_new)² = (1/2) (0.5C)•(2V)² = CV² = 2W = 2 x 1 = 2mJ
Answer:
decreases by 1/9
Explanation:
the equation of kinetic energy is 
here, we see that Kinetic Energy and v (velocity) are on opposide sides of the equation, this means that they are directly proportional (when one increases, the other one must increase (assuming mass (m) is constant)): KE∝
since V is decreasing by factor of 1/3, simply plug it in for v^2 to get (1/3)^2,
this equals (1/9). So KE will become 1/9 of original value