The speed of water flowing through a hose increases from 2.05 m/s to 31.4 m/s as it goes through the nozzle. What is the pressur
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167.67 Joules of work are done by the gravitational force on the crate.
Force is defined as the product of the mass of the object and acceleration. The SI unit of the force of Newton.
Gravitational force is the force applied by gravity on an object. The gravity of the earth is 9.8 m/s².
Force = Mass × Acceleration
F = m × a
Mass of the crate = 10 kg
The initial speed of the crate = 1.50 m/s
The pulling force = 100 N
Horizontal angle made by the crate = 20 °
Coefficient of kinetic friction = 0.400
The crate is pulled to a height of 5 m.
Work done by the gravitational force on the crate is,
Work done by gravitational force = mass × gravity × height
Therefore, 167.67 Joules of work is done by the gravitational force on the crate.
To know more about force, refer to the below link:
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(a) The net flux through the coil is zero.
In fact, the magnetic field generated by the wire forms concentric circles around the wire. The wire is placed along the diameter of the coil, so we can imagine as it divides the coil into two emisphere. Therefore, the magnetic field of the wire is perpendicular to the plane of the coil, but the direction of the field is opposite in the two emispheres. Since the two emispheres have same area, then the magnetic fluxes in the two emispheres are equal but opposite in sign, and so they cancel out when summing them together to find the net flux.
(b) If the wire passes through the center of the coil but it is perpendicular to the plane of the wire, the net flux through the coil is still zero.
In fact, the magnetic field generated by the wire forms concentric lines around the wire, so it is parallel to the plane of the coil. But the flux is equal to
where
is the angle between the direction of the magnetic field and the perpendicular to the plane of the coil, so in this case 
and so the cosine is zero, therefore the net flux is zero.
In fact, the magnetic field generated by the wire forms concentric circles around the wire. The wire is placed along the diameter of the coil, so we can imagine as it divides the coil into two emisphere. Therefore, the magnetic field of the wire is perpendicular to the plane of the coil, but the direction of the field is opposite in the two emispheres. Since the two emispheres have same area, then the magnetic fluxes in the two emispheres are equal but opposite in sign, and so they cancel out when summing them together to find the net flux.
(b) If the wire passes through the center of the coil but it is perpendicular to the plane of the wire, the net flux through the coil is still zero.
In fact, the magnetic field generated by the wire forms concentric lines around the wire, so it is parallel to the plane of the coil. But the flux is equal to
where