Let's break the problem into two parts:
1) In the first part, the wheel starts with an angular speed
and it rotates with an angular acceleration of
for t=1.80 s. So we can find the total angle covered by the wheel in this part of the motion:
2) Now, the circuit breaker trips, so the wheel starts to decelerate with a certain angular acceleration
(which is negative). During this part of the motion, the wheel covered an angle of
.
3) So, we just need to add the angles the wheel covered in the two parts of the motion:
The representation of the traffic flow is determined by three main characteristics of this: The flow, the density and the speed. The relationship between the three helps to improve the design of the roads as well as all kinds of facilities operations.
The mathematical relationship that groups them is given by the function:
Where,
= Speed
k = Density
q = Flow
Through it it is possible to obtain properties of this by which,
- When the density on the road is zero, the flow is also zero because there are no vehicles on the road
- As the density increases, the flow increases
- When the density reaches a maximum jam density, the flow must be zero because the vehicles will line up from end to end
- The flow will also increase to a maximum value, increases in density beyond that point result in flow reductions.
- Speed is the average speed of space.
1. What is the force of the marble?
For an object near the surface of the earth, the gravitational force acting upon the object is given by:
F = mg
F is the gravitational force, m is the object's mass, and g is the acceleration of objects due to earth's gravity.
Given values:
m = 0.025kg, g = 9.8m/s²
Plug in the given values and solve for F:
F = 0.025×9.8
F = 0.25N
2. What is the marble's potential energy at the start of its fall?
The gravitational potential energy of an object near the earth's surface is given by:
PE = mgh
PE is the potential energy, m is the object's mass, g is the acceleration of objects due to earth's gravity, and h is the object's relative height.
new given values:
h = 0.08m
Since F = mg, you can simply multiply F×h to get PE. Use the result from question 1:
PE = F×h
PE = 0.25×0.08
PE = 0.02J
Answer:
Mass is the measure of an object's matter (what it's made up of). The greater an object's mass, the greater its gravitational force. The earth has a strong attracting force for objects with smaller mass (including the moon), and the sun has an attracting force on the earth and other planets in our solar system.