Question

Please help

With both of these

As shown in the figure below, a box of mass m 12.2 kg is released from rest (at position A) at the top of a 30.0° frictionless incline. The box slides a distance dn 3.50m down the incline before it encounters (at position B) a spring and compresses it an amountc 0.220 m (to point C) before coming content, determine the following to rest. Using energy point of selea How does the total energy of the box at point A compare to the total energy at point B? What level did you choose for zero write an expression for the gravitational potential energy of an object in terms of its mass, distance above or below the zero the magnitude of the acceleration due to gravity? Can you wnite an expression for the kinetic energy of an object in terms of its mass energy of an object, can you determine the total energy of the object? m's

Answer 1

1)

a)
conservation of energy

Ei = Ef

mgh = 1/2 mv^2

9.81*3.5*sin(30) = 0.5*v^2

v = 5.86 m/s

b)

Ei = Ef

mgh = 1/2kx^2

12.2*9.81*(3.50 + 0.220)*sin(30) = 0.5*k*0.220^2

k = 9199 N/m