Momentum

Momentum has dimensions: Now consider the dimensions of each option: - Impulse = Force × Time \ Matches momentum - Pressure = Force / Area \ - Viscosity = Stress / Rate of strain \ - Power = Work / Time \ Only Impulse has the same dimensions as Momentum.

Kinetic energy: For same kinetic energy:

Kinetic energy is related to momentum by the formula: where is the momentum and is the mass. If the kinetic energy is increased by 300\%, the new kinetic energy becomes 4 times the original kinetic energy. Since the kinetic energy is proportional to the square of momentum, the momentum will increase by a factor of 2. Therefore, the percentage change in momentum is: Thus, the correct answer is (A).

The linear momentum gained by a body is equal to the impulse applied to it. Impulse is given by the area under the force-time graph. From the given graph, we calculate the area under the curve for the first 2 seconds, which represents the impulse imparted to the body. The force varies linearly with time, forming a triangle on the graph from to . The area of the triangle is: Here, the base is 2 seconds, and the height is 3 N.
Thus, the linear momentum gained by the body is . Since the graph has a symmetrical nature, we divide the result by 2 to account for the final momentum in 2 seconds:
Thus, the linear momentum gained by the body in 2 s is .