Answer:
F = - K X     force constant for spring
a = F / m      maximum acceleration
F = 4.5 kg * 26 m/s^2 = 117 Newtons
(A)  K = 117 N / .038 m = 3079 N/m
ω = (K/M)^1/2 = (117/5)^1/2 = 4.84 / sec
(B) f = ω / 2 pi = 4.84 / 6.28 = .77 /sec
(C) P = 1 / f = 1/.77   = 1.30 sec
 
        
             
        
        
        
Answer:
2 x 10^-8 
Explanation:
the formula of wavelength is 
the speed divided by frequency 
so you have the speed given = 3.0x10^8m/s
and frequency = 1.5×10^16 Hz
so wavelength = 3.0x10^8m/s / 1.5x10^16 Hz
 
 
        
             
        
        
        
Answer:
 from the position of the center of the Sun
 from the position of the center of the Sun
Explanation:
As we know that mass of Sun and Jupiter is given as


distance between Sun and Jupiter is given as

now let the position of Sun is origin and position of Jupiter is given at the position same as the distance between them
so we will have


 from the position of the center of the Sun
 from the position of the center of the Sun
 
        
             
        
        
        
If the force were constant or increasing, we could guess that the speed of the sardines is increasing. Since the force is decreasing but staying in contact with the can, we know that the can is slowing down, so there must be friction involved.
Work is the integral of (force x distance) over the distance, which is just the area under the distance/force graph.
The integral of exp(-8x) dx that we need is (-1/8)exp(-8x) evaluated from 0.47 to 1.20 .
I get 0.00291 of a Joule ... seems like a very suspicious solution, but for an exponential integral at a cost of 5 measly points, what can you expect.
On the other hand, it's not really too unreasonable. The force is only 0.023 Newton at the beginning, and 0.000067 newton at the end, and the distance is only about 0.7 meter, so there certainly isn't a lot of work going on.
The main question we're left with after all of this is: Why sardines ? ?