Question

Can you please answer the a and the b?

Answer 1

Answer:

a) Epot = 17658 [J]

b) v = 76.72 [m/s]

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.

$E_{k}=\frac{1}{2} *m*v^{2}$

where:

v = velocity = 2 [m/s]

$17658 = \frac{1}{2} *6*v^{2} \\v=\sqrt{5886}\\v=76.72 [m/s]$