A1.2 kg block of mass is placed on an inclined plane that has a slope of 30° with respect to the horizontal, and the block of mass is released. a friction force fk = 2.0 n acts on the block as it slides down the incline. find the acceleration of the block down the incline.

The acceleration of the block down the incline is 3.23 m/s²

Explanation:

Fk = frictional force

m = mass

g = acceleration due to gravity

F1 = force in direction of motion

theeta = inclination angle

For Force on inclined plane

F1 = m*g*sin(theeta)

F1 = (1.2)*(9.8)*sin(30)

F1 = 5.88-N

now,

Fnet = F1 - Fk

Fnet = 5.88 - 2

Fnet = 3.88-N

now for acceleration,

Fnet = m*a

a = Fnet / m

a = 3.88 / 1.2

a = 3.23 m/s²

chemical energy --> gravitational potential energy --> kinetic energy --> elastic potential energy --> gravitational potential energy

explanation:

when emma starts the hike, the chemical energy stored in her body is used to climb up the mountain, and so she gains gravitational potential energy (because at the end, she will be at a higher height h above the ground). then she goes bungee jumping: as she falls, this gravitational potential energy is converted into kinetic energy (because her speed increases as she falls down), until the point when the rope stretches, and she stops moving. at that moment, all the kinetic energy is converted into elastic potential energy due to the stretching of the rope. then, this energy is released because the rope returns to its natural length, and emma gains a small increase in altitude , so she gains some gravitational potential energy.