Answer: 2
Explanation:
The formula for kinetic energy is given as:
K = (1/2)mv²
Let's denote K as the new kinetic energy and K₀ as the original kinetic energy. Since the kinetic energy is increased by a factor of 4:
K = 4K₀
(1/2)mv² = 4(1/2)mv₀²
Cancel out the common terms:
v² = 4v₀²
Solve for v:
v = 2v₀
Since the new speed is twice the original speed, the speed increases by a factor of 2.
