A 44.0kg seal at an amusement park slides from rest down a ramp into the pool below. The top of the ramp is 1.75m higher than the surface of the water and the ramp is inclined at an angle of 35.0 degrees above the horizontal.

What is the coefficient of kinetic friction between the seal and the ramp?

Ws = M*g = 44 * 9.8 = 431.2 N.

Fn = 431.2*Cos35 = 353.2 N. = Normal force

Mg*h-FE = 0.5M*V^2.
44*9.8*1.75-FE = 05*44*4^2 = 352.
-FE = 352 - 754.6 = -402.6.
FE = 402.6 J.

L = 1.75/sin35 = 3.05 m.

Fk*L = 402.6.
Fk = 402.6/L = 402.6/3.05 = 132 N.

u = Fk/Fn = 132/353.2 = 0.374.

This cannot be determined, without knowing more...such as the end velocity.

the end velocity is 4m/s

To find the coefficient of kinetic friction between the seal and the ramp, we need to use the concept of energy conservation.

First, let's start by calculating the height difference between the top of the ramp and the water surface. We are given that the top of the ramp is 1.75m higher than the water surface.

Next, we need to determine the distance the seal will slide down the ramp. To do this, we can use trigonometry. The ramp is inclined at an angle of 35.0 degrees above the horizontal, and we know the height difference.

Using the trigonometric relationship, we can determine the distance the seal will slide down the ramp:

Distance = Height difference / sin(angle)

Plugging in the values we know, we get:

Distance = 1.75m / sin(35.0 degrees)

Now, we can calculate the gravitational potential energy (GPE) at the top of the ramp:

GPE = mass * gravitational acceleration * height difference

Plugging in the values we have, we get:

GPE = 44.0kg * 9.8m/s² * 1.75m

Next, we will calculate the kinetic energy (KE) of the seal at the bottom of the ramp using the conservation of energy principle. The GPE at the top of the ramp will be converted into KE at the bottom, assuming no energy losses due to friction.

KE = GPE

Now, we can convert the KE into velocity using the equation:

KE = 0.5 * mass * velocity²

Simplifying the equation, we have:

velocity = sqrt((2 * KE) / mass)

Since we assume no energy losses due to friction, the KE at the bottom will be equal to the GPE at the top of the ramp.

Finally, the coefficient of kinetic friction (μ) between the seal and the ramp can be determined using the equation:

μ = tan(angle)

Plugging in the values, we have:

μ = tan(35.0 degrees)