Question

Particle A has half the mass and eight times the kinetic energy of particle B.

a) mA = 1/2 × mB, KA = 8 × KB
b) mA = 2 × mB, KA = 1/8 × KB
c) mA = 1/4 × mB, KA = 4 × KB
d) mA = 8 × mB, KA = 1/2 × KB

Answer 1

The mass and kinetic energy of particles can be related using the equation KE = 1/2 * m * v^2. From the given information, particle A has half the mass of particle B but eight times the kinetic energy. So the correct answer is option a) mA = 1/2 * mB, KA = 8 * KB.

Step-by-step explanation:

The kinetic energy of a particle is given by the equation KE = 1/2 * m * v^2, where m is the mass of the particle and v is its velocity. From the given information, we know that particle A has half the mass of particle B but eight times the kinetic energy. Let's assume the mass of particle B is mB and the kinetic energy is KB. Therefore, the mass of particle A would be mA = 1/2 * mB, and the kinetic energy would be KA = 8 * KB.

So, the correct answer is option a) mA = 1/2 * mB, KA = 8 * KB.