Physics, 05.10.2019 18:20 alexandroperez13

Acar is driven 225 km west and then 98 km southwest (45).

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Sum the vector components: Dx = 225* Cos(180)+ 78*Cos(225)= -280.154 km Dy = 225* Sin(180)+ 78*Sin(225) = -55.154 km displacement: Sqrt(Dx^2+Dy^2) = 285.532 km Arctan(Dy/Dx) = 191.137degrees CCW OR: 11.137 degrees South of West

Answer from: hannahmxx2

Displacement of the car is about 302 km at 13° south of westFurther explanation

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

Given :

d₁ = 225 km west

d₂ = 98 km southwest

Unknown :

displacement = d = ?

Solution :

$d^2 = (d_1)^2 + (d_2)^2 + 2d_1d_2\cos 45^o$

$d^2 = (225)^2 + (98)^2 + 2(225)(98)\frac{1}{2}\sqrt{2}$

$d^2 = 60229 + 22050 \sqrt{2}$

$\large {\boxed {d \approx 302 ~km} }$

$\cos \theta = \frac{(d_1)^2+d^2-(d_2)^2}{2d_1d}$

$\cos \theta = \frac{225^2+302^2-98^2}{2(225)(302)}$

$\cos \theta \approx 0.974$

$\large {\boxed {\theta \approx 13^o} }$

Conclusion :Displacement of the car is about 302 km at 13° south of westLearn moreVelocity of Runner : Kinetic Energy : Acceleration : The Speed of Car : Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

Acar is driven 225 km west and then 98 km southwest (45).

Answer from: Quest

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006 kilo calorie

then ,802.3 kilo joule will be = 802.3 $\times$ 0.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.

Answer from: Quest

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this

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