Sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 1.90 m/s. The coefficient of kinetic friction between sled and ice is 0.110. Use energy considerations to find the distance the sled moves before it stops.

1.6727 meters

Explanation:

The inicial kinetic energy of the mass can be calculated using the formula:

E = mv^2/2

where m is the mass and v is the speed, so:

E = m*1.9^2/2 =  1.805m

All this energy is lost to the friction between the mass and the ground.

The friction force is F = m*g*u, where g is gravity and u is the coefficient of kinetic friction.

The energy that this force will generate is:

E = F * d, where d is the distance.

So, making the inicial kinetic energy equal to the energy dissipated by the friction, we have:

1.805m = m*g*u*d

9.81*0.11*d = 1.805

d = 1.805/(9.81*0.11) = 1.6727 meters

Distance = 1.674m

Explanation:

By the work energy theorem:-

W = ΔKE

W is work while KE is kinetic energy

Now we know that w has a formula;

W = Force x Distance and KE = (1/2)mv²

Thus,

F(friction) x s = (1/2)mv²

Now frictional force is = μmg

Where,

μ is coefficient of kinetic friction

Thus,

μmg•s = (1/2)mv²

m will cancel out to give;

μg•s = (1/2)v²

Let's make s the subject;

s = v²/(2gμ)

From the question,

velocity; v = 1.9 m/s

μ = 0.11 while g is constant at 9.8 m/s²

Thus;

s = (1.9)²/[2 x 9.8 x 0.11]

s = 3.61/2.156

s = 1.674m

i would think it's food chain

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!