Answer:
F1 = 140.2[N]; F2 = 61.72[N]
Explanation:
To solve this problem, we must make a free body diagram, with the different forces and distances that apply on the Daredevil and its bar.
In the attached image is a free body diagram, with the different forces and distances that are on the equilibrium bar.
First, we performed a sum of forces at y-axis equal to zero, in this way we deduced one of the equations for the forces of the arms F1 & F2. It takes another equation, to find each of the forces.
Then we do a sum of moments equal to zero, at the point of force F1, in this way we can find an equation for Force F2. With the force F2 we replace in the first equation and we can find the force F1.
In this way the forces are:
F1 = 140.2[N]
F2 = 61.72[N]
In the attached image we can see the equations developed to find the forces F1 & F2
Answer:
Volume of gasoline that expands and spills out is 1.33 ltr
Explanation:
As we know that when temperature of the liquid is increased then its volume will expand and it is given as
here we know that
volume expansion coefficient of the gasoline is given as
change in temperature is given as
Now we have
Answer:
a = 5.05 x 10¹⁴ m/s²
Explanation:
Consider the motion along the horizontal direction
= velocity along the horizontal direction = 3.0 x 10⁶ m/s
t = time of travel
X = horizontal distance traveled = 11 cm = 0.11 m
Time of travel can be given as
inserting the values
t = 0.11/(3.0 x 10⁶)
t = 3.67 x 10⁻⁸ sec
Consider the motion along the vertical direction
Y = vertical distance traveled = 34 cm = 0.34 m
a = acceleration = ?
t = time of travel = 3.67 x 10⁻⁸ sec
= initial velocity along the vertical direction = 0 m/s
Using the kinematics equation
Y = t + (0.5) a t²
0.34 = (0) (3.67 x 10⁻⁸) + (0.5) a (3.67 x 10⁻⁸)²
a = 5.05 x 10¹⁴ m/s²
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