CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A football and a stone have the same mass


A

both have the same inertia

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

both have the same momentum

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

both have different inertia

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

both have different momentum

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

both have the same inertia


Step1: Given data

The mass of a football and a stone is the same

Step2: Formula used

  1. Momentum is the quantity of motion of a moving body as measured by the product of its mass and velocity.
  2. The product of mass and radius equals the moment of inertia. I=mr2

Step3: Analyzing the situation.

  1. As given, the mass of a football and a stone is the same. Assume the ball is a football and the stone are solid spheres. The sphere's radius is r.
  2. The sum of the products of the mass of each particle in the body with the distance squared from the axis of rotation is known as the moment of inertia of a solid sphere.
  3. As a solid spherical, football and stone are utilized. Football's moment of inertia must be computed. Using the solid sphere moment of inertia formula I=23MR2
  4. Putting the value into the formula I=mr2
  5. The moment of inertia must be the same if the mass of a football and a stone are the same.
  6. The momentum would be identical if the football and the stone had the same velocity, however, neither the football nor the stone's velocity is given.
  7. As a result, both have the same inertia.

Hence, option A is the correct answer.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Moment of Inertia of Solid Bodies
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon