
Define impulse. State its S.I. unit. State and prove impulse-momentum theorem. A batsman deflects a ball by an angle of without changing its initial speed which is equal to . What is the impulse imparted to the ball (Mass of the ball is kg)?
Answer
425.7k+ views
Hint: Impulse can be described as the change in momentum of an object to which force is implemented. An object in the behaviour of any force accelerates or changes the velocity. The same force appearing on the same body for a long time will produce a more significant change in its linear momentum than the equivalent for a short duration.
Complete step by step answer:
Impulse defined as a force applied on an object for a short duration of time. Its S.I. unit is Ns. It is defined as the N force applied on a body for one second of time.
Impulse-momentum theorem states that Impulse applying on a body changes the same amount of linear momentum and change will occur in the same direction.
Proof: -
Let J is the impulse that produced between time and .
F is the force acting in the time interval of and .
We can write as –
By Newton’s second law, Force and momentum can related as-
Hence proved, impulse is equal to the change in linear momentum.
Given: - initial speed, u =
Initial speed is equal to final speed.
Mass of the ball =
Ball is deviated at but the angle with the x-axis will be .
Initial momentum of ball = along PR
Final momentum of ball = along RP
Impulse imparted to the ball =
Note: A small force acted for a long span will produce the same change in momentum as an Impulse force for a small duration. Forces which are acted over a short time interval are called impulsive forces. Impulse is a vector quantity. It arises basically during the collision.
Complete step by step answer:
Impulse defined as a force applied on an object for a short duration of time. Its S.I. unit is Ns. It is defined as the
Impulse-momentum theorem states that Impulse applying on a body changes the same amount of linear momentum and change will occur in the same direction.
Proof: -
Let J is the impulse that produced between time
F is the force acting in the time interval of
We can write as –
By Newton’s second law, Force and momentum can related as-
Hence proved, impulse is equal to the change in linear momentum.
Given: - initial speed, u =
Initial speed is equal to final speed.
Mass of the ball =
Ball is deviated at

Initial momentum of ball =
Final momentum of ball =
Note: A small force acted for a long span will produce the same change in momentum as an Impulse force for a small duration. Forces which are acted over a short time interval are called impulsive forces. Impulse is a vector quantity. It arises basically during the collision.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Trending doubts
How many moles and how many grams of NaCl are present class 11 chemistry CBSE

How do I get the molar mass of urea class 11 chemistry CBSE

Plants which grow in shade are called A Sciophytes class 11 biology CBSE

A renewable exhaustible natural resource is A Petroleum class 11 biology CBSE

In which of the following gametophytes is not independent class 11 biology CBSE

Find the molecular mass of Sulphuric Acid class 11 chemistry CBSE
