Question

Can you please answer the a and the b?

Answer 1

a) Epot = 17658 [J]

b) v = 76.72 [m/s]

Step-by-step explanation:

Potential energy is defined as the product of mass by gravity by height.

`E_(pot)=m*g*h\\`

where:

Epot = potential energy [J]

m = mass = 6 [kg]

g = gravity acceleration = 9.81 [m/s²]

h = elevation = 300 [m]

Now replacing:

`E_(pot)=6*9.81*300\\E_(pot) = 17658 [J]`

b)

The energy is conserved, that is, the potential energy is converted into kinetic energy as the car descends.

`E_(k)=(1)/(2) *m*v^(2)`

where:

v = velocity = 2 [m/s]

`17658 = (1)/(2) *6*v^(2) \\v=√(5886)\\v=76.72 [m/s]`