a 2kg block of wood starts at rest and slides down a ramp. Its initail height is 12m. if the final velocity of the block is 13m/s, determine the energy of this system that has been turned into heat

E = 66.44 J

Explanation:

From the law of conservation of energy:

Total Mechanical Energy at Start = Total Mechanical Energy at the End

Potential Energy at Start = Kinetic Energy at End + Energy Lost

where,

E = Energy turned into heat = ?

m = mass of block = 2 kg

g = acceleration due to gravity = 9.81 m/s²

h = height = 12 m

v = final speed = 13 m/s

Therefore,

E = 66.44 J

heats surface water up

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards