A meteorite of mass 1500 kg moves with a speed of 0.700 c . find the magnitude of its momentum p.

Asked by maham237 @ 25/12/2020 in Physics viewed by 355 People

A. A meteorite of mass 1500kg moves with a speed of 0.700c . Find the magnitude of its momentum p.Express your answer in kilograms times meters per second to three significant figures.B. What is the total energy E of the meteorite?C. What would the energy of the meteorite be if it were at rest?D.What is the relativistic kinetic energy K of the meteorite when it travels at 0.700c ?

Answered by maham237 @ 25/12/2020

Answers:

The expression for the relativistic energy $E$ is given by:

$E=mc^{2}$ (1)

being $c=3(10)^{8}m/s$

This famous equation includes the relativistic Kinetic energy $K$ and the energy at rest $E_{o}$ :

$E=K+E_{o}$ (2)

Where:

$E_{o}=m_{o}c^{2}$ (3)

Being $m_{o}=1500kg$ the mass at rest for the meteorite

$K=E-E_{o}$ (4)

In addition, there is a relation between the relativistic energy and the momentum $p$ :

$E=\sqrt{p^{2}c^{2}+m_{o}^{2}c^{4}}$ (5)

Where:

$p=\frac{m_{o}v}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$ (6)

Knowing this, let's begin with the answers:

a)Momentum

In order to solve this part, equation (6) will be helpful, since we already know the mass of the meteorite and its speed $v=0.700c$ :

$p=\frac{m_{o}v}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$

$p=\frac{(1500kg)(0.7c)}{\sqrt{1-\frac{(0.7c)^{2}}{c^{2}}}}$

$p=\frac{(1500kg)(0.7(3(10)^{8}m/s))}{\sqrt{1-0.49}}$

$p=4.411(10)^{11}kg.m/s$ (7) >>>>This is the meteorite's momentum

b) Total Energy

Remembering equation (5), which relates the total energy with the momentum:

$E=\sqrt{p^{2}c^{2}+m_{o}^{2}c^{4}}$

We can substitute the value of the momentum found on (7):

$E=\sqrt{(4.411(10)^{11}kg.m/s)^{2}(3(10)^{8}m/s)^{2}+(1500kg)^{2}(3(10)^{8}m/s)^{4}}$

Then:

$E=1.890(10)^{20}kg.m^{2}/s^{2}$

Knowing $1kg.m^{2}/s^{2}=1N.m=1J=1 Joule$ :

$E=1.890(10)^{20}J$ (8)>>>This is the total energy of the meteorite

c) Energy at rest

Using equation (3):

$E_{o}=m_{o}c^{2}$

$E_{o}=1500kg(3(10)^{8}m/s)^{2}$

$E_{o}=1.35(10)^{20}J$ (9) >>>Meteorite's energy at rest

d) Relativistic kinetic energy

According to equation (4) the relativistic kinetic energy depends on the total energy and the energy at rest:

$K=E-E_{o}$

We already know the values of $E$ and $E_{o}$ from (8) and (9). Hence we only have to substitute them on the equation:

$K=1.890(10)^{20}J-1.35(10)^{20}J$

$K=5.4(10)^{9}J$ >>>Meteorite's Relativistic energy

A block of mass 10 kg moving with acceleration

Asked by admin @ 23/08/2021 in Physics viewed by 464 persons

43. A block of mass 10 kg, moving with acceleration 2 m/s2 on horizontal rough surface is shown in figure → a= 2 m/s> F= 40 NThe value …

Body a of mass 4m moving with speed u

Asked by admin @ 17/08/2021 in Physics viewed by 307 persons

Body A of mass 4m moving with speed u collides with another body B of mass 2m,at rest.the collision is head on and elastic in nature.after the collision the fraction …

Two objects each of mass 1.5 kg are moving

Asked by admin @ 16/08/2021 in Physics viewed by 300 persons

Two objects, each of mass 1.5 kg, are moving in the same straight line but in opposite directions. The velocity of each object is 2.5 m s-1 before the collision …

You find your mass to be 42 kg on a

Asked by admin @ 04/08/2021 in Physics viewed by 252 persons

you find your mass to be 42 kg on a weighing machine. Is your mass more or less than 42 kg? Please explain properly with steps.

The speed of a car weighing 1500 kg

Asked by admin @ 24/08/2021 in Physics viewed by 279 persons

The speed of a car weighing 1500 kg increases from 36 km/h to 72 kmh uniformly in 30 min. What will be the change in momentum with respect to time …

An automobile vehicle has a mass of 1500 kg

Asked by admin @ 16/08/2021 in Physics viewed by 287 persons

An vehicle has a mass of 1500 kg. What must be the force between the vehicle and the road if the vehicle is to be stopped with a negative acceleration …

A 12 kg sled is moving at a speed

Asked by maham237 @ 23/02/2021 in Physics viewed by 414 persons

A 12-kg sled is moving at a speed of 2.0 m/s. At which of the following speeds will the sled have twice as much kinetic energy? A. 2.8 m/s B. …

Find p(c|y) from the information in the table. to the nearest tenth, p(c|y) =

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 269 persons

HURRY PLEASE Find P(C|Y) from the information in the table. To the nearest tenth, P(C|Y) = .

Earth has a mass of 5.97 x 1024 kg and a radius of 6.38 x 106 m, while saturn has a mass of 5.68 x 1026 kg and a radius of 6.03 x 107 m. find the weight of a 65.0 kg person at the following locations? a) on the surface of the earth. b) 1000 km above the surface of earth. c) on the surface of saturn. d) 1000 km above the surface of saturn.

Asked by maham237 @ 13/01/2021 in Physics viewed by 571 persons

A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is

Asked by maham237 @ 13/01/2021 in Physics viewed by 1200 persons

Mind map for light reflection and refraction class 10

Asked by admin @ 23/08/2021 in Physics viewed by 1143 persons

The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.

Asked by maham237 @ 10/01/2021 in Physics viewed by 1095 persons

A thief runs at a speed of 10m s

Asked by admin @ 23/08/2021 in Physics viewed by 1095 persons

A 5.8 x 10 4 watt elevator motor can lift

Asked by maham237 @ 20/06/2021 in Physics viewed by 1080 persons

A meteorite of mass 1500 kg moves with a speed of 0.700 c . find the magnitude of its momentum p.

Answers:

a)Momentum

b) Total Energy

c) Energy at rest

d) Relativistic kinetic energy

Similar Questions

A block of mass 10 kg moving with acceleration

Body a of mass 4m moving with speed u

Two objects each of mass 1.5 kg are moving

You find your mass to be 42 kg on a

The speed of a car weighing 1500 kg

An automobile vehicle has a mass of 1500 kg

A 12 kg sled is moving at a speed

Find p(c|y) from the information in the table. to the nearest tenth, p(c|y) =

What is the magnitude of charge that requires 2.0 x 10^-2 joule of work to move it from a to b?

Where do you find the molar mass of an element

Compared to p waves and s waves surface waves move

How to find p and q in a quadratic equation

How do you find average speed with distance and time

Find the best point estimate of the population proportion p

Most viewed questions in Physics

Jeevandeep health and physical education std 10 answers pdf

Hc verma physics class 9 solutions of describing motion

How to leave nightmare land answer key

Base area and stability of some objects with different shapes

Which of the following statements about safe lifting are correct

Porous water-absorbing mass of fibers

Absorption of water by filter paper is due to

A composite wire of uniform diameter 3mm

At a distance l 400m from the traffic light

A rocket of mass m is launched straight up with thrust f⃗ thrust.

A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is

Mind map for light reflection and refraction class 10

The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.

A thief runs at a speed of 10m s

A 5.8 x 10 4 watt elevator motor can lift