The correct answer is 17.24 m/s. You get the answer by subtracting the two heights of the tracks which are 36.5 and 10.8 m, and the answer is 25.7. Since you already know the height at which the kinetic energy will be coming from, you then divide the amount of weight the roller coaster has to the distance it needs to travel in order for you to determine the speed of the car. So that is, 4,357 kg and 25.7 m and the answer is 169 kg/m. Dividing it to the earth's gravity of 9.8 m/s you'll get 17.24 m/s.
Answer:
The final size is approximately equal to the initial size due to a very small relative increase of
in its size
Solution:
As per the question:
The energy of the proton beam, E = 250 GeV =
Distance covered by photon, d = 1 km = 1000 m
Mass of proton, 
The initial size of the wave packet, 
Now,
This is relativistic in nature
The rest mass energy associated with the proton is given by:


This energy of proton is 
Thus the speed of the proton, v
Now, the time taken to cover 1 km = 1000 m of the distance:
T = 
T = 
Now, in accordance to the dispersion factor;


Thus the increase in wave packet's width is relatively quite small.
Hence, we can say that:

where
= final width
Complete Question
The complete question is shown on the first uploaded image
Answer:
The strain experienced by the specimen is 0.00116 which is option A
Explanation:
The explanation is shown on the second uploaded image
The mass of the object doesn't matter. The change in its momentum is equal to the impulse that changed it ... 15 N-sec.
Answer:
Explanation:
Before the dialectic was inserted the capacitor is Co
When the slab is inserted,
The capacitor becomes
C=kCo
The charge Q is given as
Q=CV
Then, when C=Co
Qo=CoV
Then, when C=kCo
Q=kCoV
Then, the change in charges is given as
Q-Qo= kCoV - CoV
∆Q= kCoV - CoV
Current is given as
I=dQ/dt
I= (kCoV - CoV) / dt
I=Co(kV-V)/dt
Note Co is the value capacitor
So, Capacitance of parallel plates capacitor is given as
Co=εoA/d
Then,
I=εoA(kV-V)/d•dt
I=VεoA(k-1)/d•dt
Where A=πr²
I = V•εo•πr²•(k-1) / d•dt
This is the required expression for current is in the required term