Since speed (v) is in ft/sec, let's convert our diameters from inches to feet:
1) 5/8in = 0.625in
0.625in × 1ft/12in = 0.0521ft
2) 0.25in × 1ft/12in = 0.021ft
Equation:






new velocity coming out of the hose then is
44 ft/sec
Answer:
Magnetic force, 
Explanation:
It is given that,
Velocity of proton, 
Angle between velocity and the magnetic field, θ = 53°
Magnetic field, B = 0.49 T
The mass of proton, 
The charge on proton, 
The magnitude of magnetic force is given by :



So, the magnitude of the magnetic force on the proton is
. Hence, this is the required solution.
The escape velocity from the planet is 5052 m/s
Explanation:
The formula to calculate the escape velocity from a planet is:

where
is the gravitational constant
M is the mass of the planet
R is the radius of the planet
For Earth,
is the mass
is the radius
Here we have a planet that:
- its mass is 10.8% of that of Earth, so

- its radius is 53% of that of Earth, so

Substituting everything into the first equation, we find the escape velocity from this planet:

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