Question
Asked Aug 25, 2019
17 views

Given the density of iron as 7800 kg/m 3 , and the Earth radius is 6.38 x 10 6 m, if 55% of the Earth's volume is filled with Iron, and 45% is filled with rocks that has a density of 2600 kg/m 3 , what is the total mass of the Earth?

check_circle

Expert Answer

Step 1

 

Kinematics equation of motion for one dimensional motion with constant acceleration is used to find the distance travelled by the object horizontally. Using this the distance travelled by the shot vertically can be found.

help_outline

Image Transcriptionclose

Expression for x-component and y-component of velocity is os (e) ucos u, verti cal velocity u, horizontal velocity = u usin (e) The distance travelled horizontally is given by, s horizontal distance 1 -(usin e)gt a -g t time taken The time taken to travel horizontally is given by, usin e t = g

fullscreen
Step 2

Substitute 42 degree for theta, 13.0m/s for u, and 9.8m/s^2 for g in the above equation to find the distance travelled horizontally.

help_outline

Image Transcriptionclose

(13.0m/s)sin42° 9.8m/s2 0.89 s s =(13.0 sin42°) (0.89s)-(0.8m/s'(0.89 s) -3.86m

fullscreen
Step 3

The total height will be the sum of the distance travelled hor...

help_outline

Image Transcriptionclose

The total height is given by S 3.86m 1.80m =5.66 m The distance travelled vertically is given by, Tu0for a freely falling object 1 S gt 2 S maximum height 1 5.66 m 2 (9.80 m/s' () 25.66m 4.9 m/s t 1.07s

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: In the figure below, what is the net resistance of the circuit connected to the battery? Each resist...

A: Its given that:

question_answer

Q: An object that weighs 75 N is pulled on a horizontal surface by a horizontal pull of 50 N to the rig...

A: Given weight of the object =75 NWeight = mg =75Mass of the object = 75/g = 75/9.8  = 7.653 kg.Pullin...

question_answer

Q: A vertical spring with a spring constant of 480 N/m is mounted on the floor. From directly above the...

A: The spring constant of the spring = 480 N/m.The mass of the block =0.30 kg.The compressed distance =...

question_answer

Q: Can someone help clarify why my answers are wrong?

A: The equation for the x component of the vector is given by

question_answer

Q: When a shower is turned on in a closed bathroom, the splashing of the water on the bare tub can fill...

A: Click to see the answer

question_answer

Q: A bowling ball (mass=7.2 kg, radius=0.11 m) and a billiard ball (mass=0.38 kg, radius=0.028 m) may e...

A: Let m1 and m2 be the mass of bowling ball and billiards ball respectively.Let r1 and r2 be the radiu...

question_answer

Q: a fire fighting vehicle of mass 12,000 kg is at rest but free to roll with no resistance. if you pus...

A: The expression for the momentum in terms of force,

question_answer

Q: 2 meters long metal bar is heated from 25 degrees to 75 degrees It Cxpan ded by 0.002 meter what is ...

A: Write the expression for coefficient of thermal expansion.

question_answer

Q: (a) How much gravitational potential energy (relative to the ground on which it is built) is stored ...

A: a)The gravitational potential energy is,