The pictures above show masses sliding down frictionless inclines. All masses st

Question

The pictures above show masses sliding down frictionless inclines. All masses start from rest.

Which of the following statements are true about the situations depicted in the figures above?
Give ALL correct answers: B, AC, BCD.., or None.

A) The larger the mass, the larger its potential energy at the top of the incline
B) The initial potential energy of the mass is greater in picture C than in picture F
C) The final kinetic energy (when they reach the bottom of the incline) is greater in picture C than in picture B
D) Half-way down the incline, the kinetic energy is equal to half the total energy
E) The final velocity of the mass in picture A is greater than the one of the mass in picture D

Explanation / Answer

A)True
Potential energy = m*g*h
so, larger the mass, larger the mass , larger the potential energy at top of incline (I am assuming it is talking about same incline and different mass)

B)False
Potential energy = m*g*h
so, initial potential enrgy is greater in F

C) False
initial potential energy in B = m*g*h = 10*9.8*1 = 98 J
initial potential energy in C = m*g*h = 5*9.8*0.5 = 24.5 J
This potential energy is converted to kinetic energy at bottom.
Kinetic energy of B will be more

d) True

E) False
For A:
m*g*h=0.5*m*v^2
g*h=0.5*v^2
9.8*1 = 0.5*v^2
v = 4.43m/s

For D:
m*g*h=0.5*m*v^2
g*h=0.5*v^2
9.8*2 = 0.5*v^2
v = 6.2 m/s

Answer: A,D

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