For the given problem, we calculate the required time by
using the formula P = W/t.
P = [(1/2)mv_f^2 – (1/2)mv_i^2]/ t
The car accelerates from 0 -58 mph, so the power engine will
be
P = (1/2) x m x 58^2 / t = 1682 m / t
According to the problem, the engine produces full power so
the time required can be calculated as
420.5 m / 1.40 = 1682 m / t
t = 5.6 seconds
Answer:
5 Joules, 7.5 Joules and 10 Joules respectively
Explanation:
Potential energy due to gravity is given by mass*gravity*height or weight*height(As weight= mass*gravity)
The potential energy at the height of 1 meters = 5*1 = 5 Joules
The potential energy at the height of 1.5 meters = 5*1.5 = 7.5 Joules
The potential energy at the height of 2 meters = 5*2 = 10 Joules
You cannot average the two speeds in conditions of equal distance. You need equal time..
Look at it this way: 15 m/s for 10 km would take 666.67 seconds.
25 m/s for another 10 km would take 400 seconds. Total time: 1066.67 seconds. Total distance 20 km. This average speed 20000 m/1066.67 seconds = 18.75 m/s.
If you had gone 15 m/s for the same *time* as going at 25 m/s, then you could have averaged the speeds directly.
To get a real feel for this, imagine going at 1 m/s for 10 km, and then going at the speed of flight for the other 10 km. The first part would take 10000 seconds (nearly 3 hours) and the second almost zero time. Would your average speed be half the speed of light?
Answer:
Earth science or geoscience includes all fields of natural science related to the planet Earth. This is a branch of science dealing with the physical and chemical constitution of the Earth and its atmosphere. Earth science can be considered to be a branch of planetary science, but with a much older history. Earth science encompasses four main branches of study, the lithosphere, the hydrosphere, the atmosphere, and the biosphere, each of which is further broken down into more specialized fields.
There are both reductionist and holistic approaches to Earth sciences. It is also the study of Earth and its neighbors in space. Some Earth scientists use their knowledge of the planet to locate and develop energy and mineral resources. Others study the impact of human activity on Earth's environment, and design methods to protect the planet. Some use their knowledge about earth processes such as volcanoes, earthquakes, and hurricanes to plan communities that will not expose people to these dangerous events.
The Earth sciences can include the study of geology, the lithosphere, and the large-scale structure of the Earth's interior, as well as the atmosphere, hydrosphere, and biosphere. Typically, Earth scientists use tools from geology, chronology, physics, chemistry, geography, biology, and mathematics to build a quantitative understanding of how the Earth works and evolves. Earth science affects our everyday lives. For example, meteorologists study the weather and watch for dangerous storms. Hydrologists study water and warn of floods. Seismologists study earthquakes and try to understand where they will strike. Geologists study rocks and help to locate useful minerals. Earth scientists often work in the field—perhaps climbing mountains, exploring the seabed, crawling through caves, or wading in swamps. They measure and collect samples (such as rocks or river water), then they record their findings on charts and maps.
Explanation:
Answer:
<em>x=6.39 m</em>
Explanation:
<u>Rectangular Components of a Vector</u>
Vectors can be expressed in several forms, including the magnitude-angle form, and the rectangular-coordinates form.
If the magnitude r and angle β are given, we can find the rectangular coordinates (x,y) as follows:
The vector of the question has a magnitude of r=9.55 m and an angle β=-48°. The x-component is:
Using a digital calculator:
x=6.39 m