Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Vector Algebra
Answer
Comment
Share
Q)

A tow truck drags a stationary car along the road. The chain makes an angle of 30 degrees with the road and the tension in the chain is 1500 N. How much work is done (in Joules) by the truck in pulling the car 1 km (approximate answer, rounded off)?

(A) 1299038 J

(B) 1400004 J

(C) 2300032 J

(D) 12344548 J

1 Answer

Comment
A)
Toolbox:
  • $\overrightarrow a.\overrightarrow b=|\overrightarrow a|\:|\overrightarrow b|\:cos\theta$
Given the Force, $\overrightarrow F$ and Distance $\overrightarrow D$ vectors, we can write the work done as $\overrightarrow W = \overrightarrow F \times \overrightarrow D$
$\overrightarrow a.\overrightarrow b=|\overrightarrow a|\:|\overrightarrow b|\:cos\theta$
$\Rightarrow$$\;\overrightarrow W = \overrightarrow F \times \overrightarrow D = | \overrightarrow F| \times |\overrightarrow D| \times \cos \theta$
In our case $\theta = 30 ^{0} = \large\frac{\pi}{6}$
$\Rightarrow$$\;\overrightarrow W = | \overrightarrow F| \times |\overrightarrow D| \times \cos \theta = 1500N \times 1000m \times \cos \large(\frac{\pi}{6})$
$\Rightarrow \overrightarrow W = 750000 \sqrt 3 J \approx 1299038 J$
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...