Question

How much momentum will a dump bell of mass 10 kg transfer to the floor if it falls from the height of 80 cm? Take its downward acceleration to be 10 m/s².

Answer 1

We are given that

Mass of dump bell (m) = 10 kg

Initial velocity (u) = 0 Let final velocity be v.

Distance (s) = 80 cm= \(\frac{80}{100}\) = 0.8m

Acceleration (a) = 10 m/s²

From third equation of motion,

v² = u² + 2 as

⇒ v² = 0 + 2 x 10 x 0.8

⇒ v² = 16

⇒ v = 4m/s

Momentum of dumb bell transformed to the ground = mv

= 10 x 4 = 40 kg m/s