Chapter 1: Q58P (page 42)

A 1500 kg car located at $< 300, 0, 0 > m$ has a momentum of $< 45000, 0, 0 > kg m / s$ . What is its location 10 s later?

Short Answer

Expert verified

The location of the car 10 slater is $<600, 0, 0> m$ .

Step by step solution

Given data

Mass of the car is, $m = 1500 kg$ .

The initial location of the car was ${\vec{r}}_{i} = <300, 0, 0> m = 300 \hat{i} m$ .

The momentum of the car is $<45000, 0, 0> kg \cdot m / s$ .

Time after which location is to be the measure is, $t = 10 s$ .

Momentum and uniform motion

$The displacement in time t of a body of mass m and having uniform momentum p can be written as,$

role="math" localid="1668493070077" ${\vec{r}}_{f} - {\vec{r}}_{i} = \frac{\vec{p}}{m} t (1)$

Here ${\vec{r}}_{f}$ is the final location of the car.

Determining the final location of the body

The momentum vector of the car is, $\vec{p} = 45000 \hat{i} kg \cdot m / s$ .

From equation (1), the final location can be calculated as,

${\vec{r}}_{f} - 300 \hat{i} m = \frac{45000 \hat{i} kg \cdot m / s}{1500 kg} \times 10 s {\vec{r}}_{f} - 300 \hat{i} m = 300 \hat{i} m {\vec{r}}_{f} = 600 \hat{i} m = <600, 0, 0> m$

Thus, the required location is $<600, 0, 0> m$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A 1500 kg car located at $< 300, 0, 0 > m$ has a momentum of $< 45000, 0, 0 > kg m / s$ . What is its location 10 s later?

Short Answer

Step by step solution

Given data

Momentum and uniform motion

Determining the final location of the body

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Measurements

Fundamentals of Physics

Particle Model of Matter

Physics of Motion

Electricity and Magnetism

Medical Physics

Study anywhere. Anytime. Across all devices.

A 1500 kg car located at <300,0,0>m has a momentum of <45000,0,0>kgm/s . What is its location 10 s later?

Short Answer

Step by step solution

Given data

Momentum and uniform motion

Determining the final location of the body

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Measurements

Fundamentals of Physics

Particle Model of Matter

Physics of Motion

Electricity and Magnetism

Medical Physics

Study anywhere. Anytime. Across all devices.

A 1500 kg car located at $< 300, 0, 0 > m$ has a momentum of $< 45000, 0, 0 > kg m / s$ . What is its location 10 s later?