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

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

$_a^z\textrm{x}\rightarrow _{a-2}^{z-4}+_2^4\alpha$

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

$_a^z\textrm{x}+_{-1}^0\textrm{e}\rightarrow _{z-1}^a\textrm{y}$

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases $\gamma -radiations$ . this process does not change the mass number.

$_a^z\textrm{x}^*\rightarrow _a^z\textrm{x}+_0^0\gamma$

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as $\beta ^+$ -decay. in this the mass number remains same.

$_a^z\textrm{x}\rightarrow _{z-1}^a\textrm{y}+_{+1}^0e$

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

Answer from: Quest

so easy. just google the electromagnetic waves and it’ll pop up.

Another question on Physics

Physics, 21.06.2019 22:40

Which feature indicates that mars resides in the inner region of the solar system

Answers: 3

Answer

Physics, 22.06.2019 00:00

Suppose that recording station n is located 200 km north of the epicenter of an earthquake, and recording station s is located 100 km south of the epicenter of the same earthquake. which of the following statements would be true?

Answers: 2

Answer

Physics, 22.06.2019 04:20

When considering gravity acceleration and the force of acceleration, what must be true? a. the direction of acceleration must be perpendicular to the direction of the force. b. the direction of the force and the direction of acceleration must be the same as each other. c. the direction of the force and the direction of acceleration must be opposite of each other. d. the mass of the body must be the same as the acceleration of the body.

Answers: 1

Answer

Physics, 22.06.2019 09:10

Which lists the organs in the correct order as food passes from the mouth to anus?

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