 ×     #### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
```
Assume the aerodynamic drag force on a car is proportional to the speed. If the power output from the engine is doubled, then the maximum speed of the car. (A) is unchanged. (B) increases by a factor of (C) is also doubled. (D) increases by a factor of four.

```
5 years ago

```							The correct option is (B) increases by a factor of √2.In accordance to question, the aerodynamic drag force (F) on a car is proportional to speed (v).So, F vSo, F= kv …… (1)Where, k is a constant.From equation (1), speed will be,v = F/k …… (2)Since force acting on the body (F) is equal to the power delivered (P) to the body divided by speed of the body (v).So, F = P/v …… (3)Putting the value of equation (3) in equation (2) we get,v = F/k = P/v /k= P/vkSo, v2 = P/kOr, v = √P/k …… (4)If the power output (Pʹ = 2P) from the engine is doubled, then the maximum speed (vʹ) of the car will be,vʹ = √Pʹ/k =√2P/k (Since, Pʹ = 2P) = √2 (√P/k) = √2 v (Since, v = √P/k) …… (5)From equation (5) we observed that, if the power output from the engine is doubled, then the maximum speed of the car will be, increased by a factor of √2. Thus option (B) is correct.
```
5 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Mechanics

View all Questions »  ### Course Features

• 101 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions