Correct option is B
A. Kinetic Energy → I.
12mv2\frac{1}{2} mv^221mv2:
· Kinetic energy is the energy of motion and is calculated using 12mv2\frac{1}{2} mv^221mv2, where mmm is mass and vvv is velocity.
2. B. Potential Energy → IV.
m×g×hm \times g \times hm×g×h:
· Potential energy is the energy due to position or height, calculated as mghmghmgh, where mmm is mass, ggg is acceleration due to gravity, and hhh is height.
3. C. Momentum → III.
m×vm \times vm×v:
· Momentum is the product of an object’s mass and velocity, represented as mvmvmv.
4. D. Friction → II.
μR\mu RμR:
· Frictional force is given by μR\mu RμR, where μ\muμ is the coefficient of friction and RRR is the normal reaction force.
Correct Matching: · A-I: Kinetic Energy → 12mv2\frac{1}{2} mv^221mv2
· B-IV: Potential Energy → m×g×hm \times g \times hm×g×h
· C-III: Momentum → m×vm \times vm×v
· D-II: Friction → μR\mu RμR
Correct Answer:
(b) A-I, B-IV, C-III, D-II
Information Booster 1. Key Variables in Mechanics:
· Kinetic Energy: Energy due to motion.
· Potential Energy: Energy due to position or height.
· Momentum: Measure of the motion of a body.
· Friction: Resistance to motion between two surfaces in contact.
2. Importance of Equations in Sports Science:
· Understanding energy and forces helps analyze athletic performance, optimize techniques, and prevent injuries.