Which of the following statements is NOT TRUE about linear impulse?
- Impulse is a vector quantity.
- The (N s) is the unit for impulse
- In a collision, the net impulse experienced by an object is equal to its momentum change.
- An object which is traveling east would experience a eastward directed impulse in a head on collision.
- Impulse is a time integral of force.
- An object which is traveling east would experience a eastward directed impulse in a head on collision.
NO WAY
Impulse is CHANGE in momentum
The statement that is NOT TRUE about linear impulse is: "Impulse is a time integral of force." The correct statement is that impulse is equal to the change in momentum of an object and can be calculated by multiplying the force exerted on an object by the time interval over which the force is applied.
To determine which statement is NOT TRUE about linear impulse, let's analyze each statement one by one.
1. Impulse is a vector quantity: This statement is TRUE. Impulse is indeed a vector quantity because it has both magnitude and direction. It is defined as the product of the force applied to an object and the time interval over which it acts.
2. The (N s) is the unit for impulse: This statement is TRUE. The unit of impulse is Newton-second (N s). This is derived from the unit of force, which is Newton (N), multiplied by the unit of time, which is second (s).
3. In a collision, the net impulse experienced by an object is equal to its momentum change: This statement is TRUE. According to Newton's second law of motion, the change in momentum of an object is equal to the net impulse acting on the object. In a collision, the net impulse experienced by an object is indeed equal to its change in momentum.
4. An object which is traveling east would experience an eastward directed impulse in a head-on collision: This statement is TRUE. The direction of impulse is the same as the direction of the force applied. In a head-on collision, the force is exerted in the direction opposite to the object's initial velocity. Therefore, an object traveling east would experience an eastward directed impulse.
5. Impulse is a time integral of force: This statement is NOT TRUE. The correct statement should be: Impulse is equal to the time integral of force. The integral sign (∫) indicates a mathematical operation that sums up the contributions of force over a certain time interval. The time integral of force gives us the total impulse acting on an object.
Considering the above analysis, the statement that is NOT TRUE about linear impulse is: "Impulse is a time integral of force."