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| BETA : Translation : Energy 01 : Convert Between Kinetic Energy And Gravity Potential Energy No Friction : Beta Physics Homework Game
Description : Convert between kinetic energy and equivalent gravity potential energy, no friction.
Discussion : Kinetic energy and gravity potential energy are equivalent forms of energy. Friction is assumed to be negligible.
energy = 0.5 * m * v2 (kinetic energy)
energy = m * g * h (gravity potential energy)
rearranging
m = 2 * energy / v2
v = √(2 * energy / m)
h = energy / (m * g)
m = energy / (h * g)
where
energy = energy
m = mass
v = velocity amplitude
h = equivalent gravity potential height
g = gravity acceleration
Gravity is given here as a constant : g = 9.81 m/s2.
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| BETA : Translation : Energy 02 : Convert Between Gravity Potential Energy And Work Energy No Friction : Beta Physics Homework Game
Description : Convert between gravity potential energy and equivalent work energy, no friction.
Discussion : Gravity potential energy and work energy are equivalent forms of energy. Friction is assumed to be negligible.
energy = m * g * h (gravity potential energy)
energy = F * d (work energy)
rearranging
m = energy / (g * h)
h = energy / (g * m)
F = energy / d
d = energy / F
where
energy = energy
m = mass
F = force amplitude
d = displacement
h = equivalent gravity potential height
g = gravity acceleration
Gravity is given here as a constant : g = 9.81 m/s2.
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| BETA : Translation : Energy 03 : Convert Between Spring Potential Energy And Kinetic Energy No Friction : Beta Physics Homework Game
Description : Convert between spring potential energy and equivalent kinetic energy, no friction.
Discussion : Spring potential energy and kinetic energy are equivalent forms of energy. Friction is assumed to be negligible.
energy = K / 2 * y2 (spring potential energy)
energy = m / 2 * v2 (kinetic energy)
rearranging
K = 2 * energy / y2
y = sqrt(2 * enerrgy / K)
m = 2 * energy / v2
v = sqrt(2 * energy / m)
where
energy = energy
m = mass
v = velocity
K = spring constant
y = spring displacement
The spring constant K equals the force / displacement.
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| BETA : Translation : Energy 04 : Convert Between Work Energy And Spring Potential Energy No Friction : Beta Physics Homework Game
Description : Convert between work energy and equivalent spring potential energy, no friction.
Discussion : Work energy and spring potential energy are equivalent forms of energy. Friction is assumed to be negligible.
energy = F * d (work energy)
energy = K / 2 * y2 (spring potential energy)
rearranging
F = energy / d
d = energy / F
K = 2 * energy / y2
y = sqrt(2 * enerrgy / K)
where
energy = energy
F = force
y = displacement
K = spring constant
y = spring displacement
The spring constant K equals the force / displacement.
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| BETA : Translation : Energy 05 : Convert Between Work Energy Kinetic Energy And Gravity Potential Energy With Friction : Beta Physics Homework Game
Description : Convert between work energy, kinetic energy and gravity potential energy with friction.
Discussion : Work energy, friction energy, kinetic energy and gravity potential energy are equivalent forms of energy. Normally non reversible friction energy losses occur when converting between different forms of energy. Total energy is conserved.
The game has 3 sets of questions with 6 questions per set.
Fr, Ew, Ef, Er, h, v
Ft, Er, Fr, Ff, Ef, v
m. d. Ef, Ew, Ft, h
The basic equations are :
Fr = Ft - Ff
Ew = Ft d
Ef = Ff d
Er = Ew - Ef
h = Er / (m g)
v = √(2 Er / m)
rearranging
Ft = Ew / d
Ff = Ef / d
Fr = Er / d
d = Er / Fr
v = √(2 Er / m)
where
Ft Ff Fr = thrust friction and resultant force
Ew Ef Er = work friction and resultant energy
h = equivalent change in height
v = equivalent velocity
d = distance
m = mass
g = gravity constant = 9.81 m / s2
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| BETA : Translation : Energy 06 : Work Energy And Friction Up A Slope : Beta Physics Homework Game
Description : Work energy and friction on a slope
Discussion : Friction increases the force and work energy required to push a mass up a slope. The mass gains gravity potential energy as it is pushed up the slope. The friction energy is usually lost as heat. The velocity is constant (ie zero acceleration). See Figure Work Energy And Friction Up A SLope
The game has 3 sets of questions with 3 questions per set.
Ew, Ft, Pw
Ft, d, h
v, d, Ff
The basic equations are :
Ew = Ff d + m g h
Ft = Ew / d
Pw = Ft v
rearranging
Ft = Pw / v
v = Pw / Ft
d = Ew / Ft
h = (Ew - Ff d) / (m g)
Ff = (Ew - m g h) / d
where
Ft Ff = thrust and friction force
Ew = work energy
Pw = work power
h = change in height
v = velocity (constant)
d = distance up the slope
m = mass
g = gravity constant = 9.81 m / s2
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| BETA : Translation : Energy 07 : Work Energy And Friction On A Pulley : Beta Physics Homework Game
Description : Work energy and friction on a pulley.
Discussion : Friction increases the force and work required to raise a mass using a rope and a pulley. The mass gains gravity potential energy as it is pulled up on the rope. The friction energy is usually lost as heat. The velocity is constant (ie zero acceleration). See Figure Work Energy And Friction For A Mass And Pulley
The game has 3 sets of questions with 3 questions per set.
Ew, Ft, Pw
Ft, h, m
v, h, Ff
The basic equations are :
Ew = Ff h + m g h
Ft = Ew / h
Pw = Ft v
rearranging
Ft = Pw / v
h = Ew / Ft
m = (Ew - Ff h) / (h g)
Ff = Ew / h - m g
where
Ft Ff = thrust and friction force
Ew = work energy
Pw = work power
h = change in height
v = velocity (constant)
m = mass
g = gravity constant = 9.81 m / s2
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| BETA : Translation : Energy 08 : Work Energy And Friction For A Sliding Mass : Beta Physics Homework Game
Description : Work energy and friction for a sliding mass.
Discussion : The work (force x distance) required to push a sliding mass is lost as friction energy. The thrust force is equal and opposite to the friction force. The friction energy is usually lost as heat. The velocity is constant (ie zero acceleration). See Figure Work Energy And Friction For A Sliding Mass
The game has 3 sets of questions with 2 questions per set.
Ew, Pw
Ft, v
Ft, d
The basic equations are :
Ew = Ft d
Pw = Ft v
rearranging
Ft = Ew / d
Ft = Pw / v
v = Pw / Ft
d = Ew / Ft
where
Ft = thrust force
Ew = work energy
Pw = work power
d = distance
v = velocity (constant)
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