1093 Views

A ball of mass.0.4kg thrown upwards in air with a velocity 30m /s reaches the highest point in 2.5second. The air resistance encountered by


KARSANG YANI 11th Jul, 2019
Answer (1)
Ronak Gala Student Expert 11th Jul, 2019

You need to know the radius of the ball in order to determine the answer to this question. Mass is irrelevant to the drag equations. It would also be helpful to know the density of the air because it may change due to temperature and humidity.

The basic equation of drag is:

F_D = \frac{1}{2} \rho v^2 C_D A

F_D is the drag force.

\rho is the density of the fluid (in this case, air).

v is the speed of the object relative to the fluid.

C_D is the drag coefficient. For a sphere, it is C_D = .47 . ( Drag coefficient - Wikipedia )

A is the cross sectional area.

Given the ball has radius r the area A = \pi r^2 , therefore, the drag is:

F_D = \frac{1}{2} \rho (30 m/s)^2 .47 (\pi r^2)

At sea level and at 15 °C, air has a density of approximately 1.225 \; kg/m^3 .

F_D = \frac{1}{2} 1.225 \; kg/m^3 (30 m/s)^2 .47 (\pi r^2)

Finally, we get,

F_D = 813.947 pascals * r^2

Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Amity University-Noida MBA Ad...
Apply
Ranked among top 10 B-Schools in India by multiple publications | Top Recruiters-Google, MicKinsey, Amazon, BCG & many more.
Narayana Business School MBA/...
Apply
Top 30 Private B-Schools Nationally and Top 3 in Gujarat | Highest CTC- 20 LPA | Average CTC- 8.4 LPA | 40% Pre-Placement Offers | 670+ Recruiters 
JAGSoM PGDM Admissions 2026
Apply
Highest CTC 51.38 LPA | Median CTC 10.32 LPA | Top 25% Average CTC 14.32 LPA
IFMR Graduate School of Busin...
Apply
Application Deadline 15th Jan’26 | UGC Approved Programs | Near 100% Placement Record | Up to 100% Scholarships | Highest CTC 21.32 LPA
Amity University-Noida Law Ad...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books