This is a hydraulic system, and these systems rely on the incompressible nature of fluids to transmit pressure through the fluid equally. Therefore, the pressure on the wide side of the U-tube (the side with the car) must be equal to the pressure on the narrow side of the U-tube. We begin by calculating the pressure on the wider side:
Pressure on wide side = pressure due to car + pressure due to difference in height of oil
The pressure by the car is calculated using:
Pressure = force / area
P = 12,000 / (π * 0.18²)
P = 118 kPa
While the pressure due to the oil is given by:
Pressure = density * gravitational field strength * height
P = 800 * 9.81 * 1.2
P = 9.4 kPa
Pressure on wide side:
118 + 9.4 = 127.4 kPa
Pressure on the narrow side will be given by:
Pressure = force / area
Force = area * pressure
Force = (π * 0.05²)(127,000)
Force = 997 Newtons
The force required is about 1 kN
Answer:
Explanation:
Heat generated by the coil is expressed as;
Heat generated = Power ×Time
Heat generated = IVt
I is the current = 4A
V is the voltage= 5V
t is the time = 4hrs
Convert to secs
t = 4(3600) = 14400secs
Substitute into the formula
Heat generated = 4×5×14400
Heat generated = 20×14400
Heat generated = 288000Joules
Heat generated =288KJ
I would say nitrogen, because we couldn't breather without nitrogen.
Force = (mass) x (acceleration)
= (275kg) x (-4.5 m/s²) = -1,237.5 newtons.
In order for this mass to experience acceleration of -4.5 m/s²,
it must be pushed by -1,237.5 newtons of force, otherwise
it will not have that acceleration.
The plus and minus signs are completely your choice. The
positive direction is the direction you decided to call positive
when you started working with the problem. Chances are,
you probably called the positive direction the one in which
the object is already moving. That makes the acceleration
positive if the object is speeding up, negative if it's slowing
down.
If the acceleration is positive (speeding up), that means the
object is being pushed by a force in the same direction it's
already moving. If the acceleration is negative (slowing down),
that means the object is being pushed by a force opposite to
the direction it's already moving ... the negative direction.