Which of the following has more inertia: (a) a rubber ball and a stone of the same size? (b) a bicycle and a train? (c) a five-r
2 answers:
You might be interested in
Answer:
The magnitude of the force that each wire exerts on the other will increase by a factor of two.
Explanation:
force on parallel current carrying wire, F = BILsinθ
where;
B is the strength of the magnetic field
L is the length of the wire
I is the magnitude of current on the wire
θ is the angle of inclination of the wire
Assuming B, L and θ is constant, then F ∝ I
F = kI
When the amount of current is doubled in one of the wires, lets say the second wire;
Also, if will double the amount of current on the first wire, then
F₁ = 2F₂
Therefore, the magnitude of the force that each wire exerts on the other will increase by a factor of two.
Answer:
The speed of the airplane relative to the air is 209.47km/hr
Explanation:
Whenever we are solving a physics problem, it's really useful to start by drawing a diagram of the problem (See picture attached). It will help us visualize the problem better.
Now, we know that the plane flew for an amount of time of 15 minutes. For our dimensions to be the same, we need to turn those 15min to hours, like this:
Once our time is rewritten as hours, we can now calculate the velocity towards north of the plane.
the plane traveled a distance to the north of 48km so the velocity is:
so
V=192km/hr j
Now, we can calculate the x and y-components of the velocity of the wind. The problem states that the wind is blowing at 42km/hr at an angle of 19° south of east, so the x and y-components of the velocity of the wind are:
and
So the velocity of the wind can be expressed as a vector as:
Once we know this, we can find the velocity of the plane with respect of the wind on x and on y:
and
So the velocity of the plane with respect to the wind can be rewritten as:
Since the problem asks us to find the speed of the plane with respect to the wind, this means that we need to find the magnitude of the velocity, since the speed is a scalar defined to be the magnitude of the velocity.
so:
speed= 209.47 km/hr
Therefore, the speed of the airplane relative to the air is 209.47km/hr
