Answer:
The maximum speed of the car at the bottom of that drop is 26.34 m/s.
Explanation:
Given that,
The maximum vertical distance covered by the roller coaster, h = 35.4 m
We need to find the maximum speed of the car at the bottom of that drop. It is a case of conservation of energy. The energy at bottom is equal to the energy at top such that :



v = 26.34 m/s
So, the maximum speed of the car at the bottom of that drop is 26.34 m/s. Hence, this is the required solution.
Answer:
B_o = 1.013μT
Explanation:
To find B_o you take into account the formula for the emf:

where you used that A (area of the loop) is constant, an also the angle between the direction of B and the normal to A.
By applying the derivative you obtain:

when the emf is maximum the angle between B and the normal to A is zero, that is, cosθ = 1 or -1. Furthermore the cos function is 1 or -1. Hence:

hence, B_o = 1.013μT
One of the fundamental pillars to solve this problem is the use of thermodynamic tables to be able to find the values of the specific volume of saturated liquid and evaporation. We will be guided by the table B.7.1 'Saturated Methane' from which we will obtain the properties of this gas at the given temperature. Later considering the isobaric process we will calculate with that volume the properties in state two. Finally we will calculate the times through the differences of the temperatures and reasons of change of heat.
Table B.7.1: Saturated Methane




Calculate the specific volume of the methane at state 1



Assume the tank is rigid, specific volume remains constant


Now from the same table we can obtain the properties,
At 


We can calculate the time taken for the methane to become a single phase

Here
Initial temperature of Methane
Warming rate
Replacing



Therefore the time taken for the methane to become a single phase is 5hr
Answer:
Should place the current perpendicular to the magnetic field
Explanation:
The magnetic force exerted on a current-carrying wire is given by

where
I is the current in the wire
L is the length of the wire
B is the magnetic field
is the angle between the direction of the wire and the magnetic field
As we see from the formula, the magnetic force is maximum when

which means

So, when the current in the wire and the magnetic field are perpendicular to each other.
1850 to 1900 because the slope would be 105. It says what is the greatest fall, so the upward slope of 120 wouldn't count.