Answer:
The cannon recoils with a force of 332.5 N
Explanation:
By Newton's third law Recoil force on cannon = Force in shell.
Force in shell = Mass of shell x Acceleration of shell
Mass of shell = 3.5 kg
Acceleration of shell = 95 m/s²
Force in shell = 3.5 x 95 = 332.5 N
Recoil force on cannon = 332.5 N
So, the cannon recoils with a force of 332.5 N
To solve this question, we use the wave equation which is:
C=f*λ
where:
C is the speed;
f is the frequency;
λ is the wavelength
So in this case, plugging in our values in the problem. This will give us:
C = 261.6Hz × 1.31m
= 342.696 m/s is the answer.
Answer: d)
Explanation: In order to justify the answer we have to consider that the energy of photons directely depent on the frequency so the energy is inverselly dependent of the wavelegth.
If both beams have the same power, this means Energy/time so the number of photons per second must be different. As consequence a) is wrong as b) since it is not posible since UV photon have more energy that IR photons. c) It is no necessary know the frequency since the wavelength is related in the form:
c=λν c is the speed of light, λ the wavelegth and ν the frequency.
d) Certainly will be more more IR photons than UV photons to get the same beam power.
To find the pressure with a given data for the height, you are asked to get the hydraulic pressure. Hydraulic pressure has the following formula:
P = density*acceleration due to gravity*height
Assume that the density of seawater is the same as that for pure water,density = 1000 kg/m^3.
P = 1000 kg/m3*9.81m/s2*9100m
P = 89271000 Pascals or 89.271 megapascals