SATHEE: Work Energy and Power - Result Question 3

Work Energy and Power - Result Question 3

5. A uniform force of $(3 \hat{i} + \hat{j})$ newton acts on a particle of mass $2 k g$ . The particle is displaced from position $(2 \hat{i} + \hat{k})$ meter to position $(4 \hat{i} + 3 \hat{j} - \hat{k})$ meter. The work done by the force on the particle is

[2013]

(a) $6 J$

(b) $13 J$

(d) $9 J$

Show Answer

Answer:

Correct Answer: 5. (d)

Solution:

(d) Given : $\vec{F} = 3 \hat{i} + \hat{j}$

${\vec{r}}_{1} = (2 \hat{i} + \hat{k}), {\vec{r}}_{2} = (4 \hat{i} + 3 \hat{j} - \vec{k})$

$\vec{r} = {\vec{r}}_{2} - {\vec{r}}_{1} = (4 \hat{i} + 3 \hat{j} - \vec{k}) - (2 \hat{i} + \hat{k})$

or $\vec{r} = 2 \hat{i} + 3 \hat{j} - 2 \hat{k}$

So work done by the given force, $w = \vec{f} \cdot \vec{r}$

$= (3 \hat{i} + \hat{j}) \cdot (2 \hat{i} + 3 \hat{j} - 2 \hat{k}) = 6 + 3 = 9 J$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Work Energy and Power - Result Question 3

5. A uniform force of (3i^+j^) newton acts on a particle of mass 2kg. The particle is displaced from position (2i^+k^) meter to position (4i^+3j^−k^) meter. The work done by the force on the particle is

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

5. A uniform force of $(3 \hat{i} + \hat{j})$ newton acts on a particle of mass $2 k g$ . The particle is displaced from position $(2 \hat{i} + \hat{k})$ meter to position $(4 \hat{i} + 3 \hat{j} - \hat{k})$ meter. The work done by the force on the particle is