Physics, 22.06.2019 16:30 lunarwoo

A14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. earth mass is 6.0 * 10^24 kg. show your work assuming the rock earth system is closed.

Answers: 2

Show answers

Answers

Answer from: shmote12

The momentum change of the rock caused by its fall will be $2.33\times10^{-23}\\$ m/sec and the magnitude of the earth velocity will be 140 kgm/s

When the rock starts from rest and free falls through a certain distance causes a change in the momentum of the rock.

How to find the change in the momentum of the body when the body is free falls?

Given,

Mass of the rock = 14 kg

Distance traveled by the rock under the influence of gravity =5.0m

Mass of earth = $6.0\times10^{24}$

Assumptions: the rock earth system is closed.

To find

The momentum change of the rock

Megnitude of earth velocity

$S=ut +1/2{at^2}$

If the body freely falls initial velocity will be zero.

so ; u = initial velocity = 0

$5=0+\dfrac{1}{2} at^{2}$

a= acceleration due to gravity ; g =10 m/s^2

$t =\dfrac{5 \times2}{10}$

t= 1 second

Change in the momentum of the rock will be,

ΔP= FΔT

As we know F= mg

ΔP = (mg ) ΔT

ΔP= (14 $\times10$ )

ΔP=140 kg-m/s²

The change in the momentum of the rock is 140kg-m/s²

As we know that change in the momentum has conserved

change in the momentum of earth = change in the momentum of the rock

$\rm ( \Delta P )_{earth} = ( \Delta P )_{ rock }$ $\rm ( \Delta P ) _{rock }$ $= 140 \;\rm kg m/s^2$

$\rm ( M) _{earth} \Delta V = ( \Delta P )_{rock }$

$6.0214\times10^{24}\times$ ΔV $= 140\rm \; kg m/s^2$

ΔV = $2.33\times10^{-23}$ m /sec

The change in the megnitude of the earth velocicty is $2.33\times10^{-23}$ m /sec .

To know more about the change in momentum refers to

link

Answer from: rschaum08

mass of the rock = 14 kg

distance that rock will move down = 5.0 m

now for motion under gravity we know that

$d = v_i t + \frac{1}{2} at^2$

here we have

$5 = 0 + \frac{1}{2}(10)t^2$

by solving above equation we have

t = 1 s

now change in momentum of rock is related to the force on it by equation below

$\Delta P = F \Delta t$

$\Delta P = (mg)\Delta t$

$\Delta P = (14 kg)(10 m/s^2)(1)$

$\Delta P = 140 kg m/s$

Now we know that same amount of force will act on the Earth also

So Earth will also have same momentum change

now we have

$\Delta P_{earth} = \Delta P_{rock}$

$m_{earth}(\Delta v) = 140$

$6.0 \times 10^{24} kg(\Delta v) = 140$

$\Delta v = \frac{140}{6 \times 10^{24}}$

$\Delta v = 2.33 \times 10^{-23} m/s$

Answer from: Quest

okay i have so many questions. but the big one here is: um wt..f is this mess? ?

Answer from: Quest

the grams of oxygen gas that can be produced is 20.6 grams of o₂

calculation

2liclo₃ → 2 licl + 3 o₂

step 1: find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5 +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281 moles

step 2: use the mole ratio to calculate the moles of o2

from equation above, liclo₃: o₂ is 2: 3

therefore the moles of o₂=0.4281 moles x3/2 =0.6422 moles

step 3: find mass of o₂

mass= moles x molar mass

from periodic table the molar mass of o₂ = 16 x2= 32 g/mol

mass=0.6422 moles x 32 g/mol = 20.6 grams of o₂

Another question on Physics

Physics, 21.06.2019 16:30

Picture a all traveling at a constant speed around the inside of a circular structure. is the ball accelerating? explain your answer

Answers: 3

Answer

Physics, 21.06.2019 23:00

In a given chemical reaction, the energy of the products is greater than the energy of the reactants. which statement is true for this reaction?

Answers: 2

Answer

Physics, 22.06.2019 08:40

The system is released from rest with the cable taut, and the homogeneous cylinder does not slip on the rough incline. determine the angular acceleration of the cylinder and the minimum coeffi cient s of friction for which the cylinder will not slip.

Answers: 2

Answer

Physics, 22.06.2019 09:30

The graph represents the distance a car travels over time while on the highway. which statement about the car's trip is accurate? a) the car does not move over time. b) the car travels at a constant velocity. c) the car's velocity increases constantly over time. d) the car's velocity decreases constantly over time.

Answers: 1

Answer

You know the right answer?

A14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find t...

Questions