Question

In a legend, the hero-kid kicked a toy pig so that it is projected with a speed greater than that of its cry. If the weight of the toy pig is assumed to be 5 kg and the time of contact 0.01 sec., the force with which the hero-kid kicked him was ______.

(Speed of cry = 330 m/s)

Options

• 5 × 10^-2 N

• 2 × 10⁵ N

• 1.65 × 10⁵ N

• 1.65 × 10³ N

Answer 1

In a legend, the hero-kid kicked a toy pig so that it is projected with a speed greater than that of its cry. If the weight of the toy pig is assumed to be 5 kg and the time of contact 0.01 sec., the force with which the hero-kid kicked him was 2 × 10⁵ N.

Explanation:

Given: m = 5 kg, v > 330 m/s, Δt = 0.01 s

F. Δt = Δp = mΔv = 5 kg × 330 m/s

Δp = 1650 kg m/s

F = `(Delta"p")/(Delta"t")`

= `1650/0.01`

= 1650 × 100

= 1.65 × 10⁵ N

So, the applied force should be greater than the calculated value, so the correct answer will be 2 × 10⁵ N.