1. A soccer ball is kicked horizontally off a cliff with an initial speed of 8 m/s and lands 16 m from the base of
1 answer:
You might be interested in
Answer:
Explanation:
we can consider an element of radius r < a and thickness dr. and Area of this element is
since current density is given
then , current through this element will be,
integrating on both sides between the appropriate limits,
Magnetic field can be found by using Ampere's law
for points inside the wire ( r<a)
now, consider a point at a distance 'r' from the center of wire. The appropriate Amperian loop is a circle of radius r.
by applying the Ampere's law, we can write
by symmetry will be of uniform magnitude on this loop and it's direction will be tangential to the loop.
Hence,
now using equation 1, putting the value of k,
B)
now, for points outside the wire ( r>a)
consider a point at a distance 'r' from the center of wire. The appropriate Amperian loop is a circle of radius l.
applying the Ampere's law
by symmetry will be of uniform magnitude on this loop and it's direction will be tangential to the loop. Hence
again using,equaiton 1,
Answer:
a).β=0.53 T
a).β=0.40 T
Explanation:
The magnetic field at distance 'r' from the center of toroid is given by:
a).
b).
The distance is the radius add the cross section so:
Answer:
The volume is decreasing at 160 cm³/min
Explanation:
Given;
Boyle's law, PV = C
where;
P is pressure of the gas
V is volume of the gas
C is constant
Differentiate this equation using product rule:
Given;
(increasing pressure rate of the gas) = 40 kPa/min
V (volume of the gas) = 600 cm³
P (pressure of the gas) = 150 kPa
Substitute in these values in the differential equation above and calculate the rate at which the volume is decreasing ( );
(600 x 40) + (150 x ) = 0
Therefore, the volume is decreasing at 160 cm³/min