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 $<600, 0, 0> m$ .

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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.

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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

Linear Momentum

Turning Points in Physics

Force

Wave Optics

Electromagnetism

Space 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?