5.5 L of water was poured into a bucket weighing 1.5 kg. What kind of force do you need to apply

5.5 L of water was poured into a bucket weighing 1.5 kg. What kind of force do you need to apply to hold the bucket in your hands?

mw = 1.5 kg.

V = 5.5 l = 0.0055 m3.

ρ = 1000 kg / m3.

g = 10 m / s2.

F -?

The condition for the balance of a bucket with water in hands, according to Newton’s 1 law, is the balancing of all forces that act on a bucket of water.

A bucket of water is acted upon by the force of gravity Ft, the value of which is expressed by the formula: Ft = (mw + m) * g, where mw is the mass of the bucket, m is the mass of water in the bucket.

We express the mass of water m by the formula: m = ρ * V, where ρ is the density of water, V is the volume of water in a bucket.

Equilibrium condition: Fт = F.

F = (mv + ρ * V) * g.

F = (1.5 kg + 1000 kg / m3 * 0.0055 m3) * 10 m / s2 = 70 N.

Answer: to hold a bucket of water in your hands, you need to apply a force F = 70 N.