Answer:
8.44 m/s.
Explanation:
Change in Potential Energy = Mass x Acceleration From Gravity x H2 - H1
Kinetic Energy = 1/2 (mass) x [(v2)^2 - v1^2]
g * h = 1/2 * v^2
(9.8) x (2.27) = 1/2 * (v)^2
v^2 = 2[(9.8) x (2.27)]
v = 6.67 m/s
g * delta h = 1/2 * delta v^2
(9.8) x (2.27 - 0.903) = 1/2 * [(v2)^2 - (6.67)^2]
v2^2 = 71.2821
v2 = 8.44 m/s
B = magnetic field in the cyclotron = 0.400 T
q = magnitude of charge on a proton = 1.6 x 10⁻¹⁹ C
m = mass of the proton = 1.67 x 10⁻²⁷ kg
f = frequency of revolution of proton in the cyclotron = ?
v = speed of electromagnetic waves = 3 x 10⁸ m/s
λ = wavelength of electromagnetic wave = ?
Frequency of revolution of proton in the cyclotron is given as
f = qB/(2πm)
inserting the values
f = (1.6 x 10⁻¹⁹)(0.400)/(2 (3.14) (1.67 x 10⁻²⁷))
f = 6.1 x 10⁶ Hz
wavelength of electromagnetic wave is given as
λ = v/f
λ = (3 x 10⁸)/(6.1 x 10⁶)
λ = 49.2 m
Period = 0.5 second is the answer.
Answer:
311,850 N
Explanation:
We can solve the problem by using Newton's second law:

where
F is the net force applied on an object
m is the mass of the object
a is its acceleration
For the object in this problem,
m = 27 kg

Substituting, we find the force required:

Answer:
the warm air would be up and cool would be down
Explanation:
warm air is less dense and cool air is more dense