Answer:
The mass is located midway between points A and B when its kinetic energy is at maximum.
The mass is located at either point A or B when its potential energy is at minimum.
Explanation:
The mass is moving by simple harmonic motion. A and B represent the points of maximum displacement of the spring-mass system. The total mechanical energy of the system is sum of elastic potential energy (U) and kinetic energy (K):
where
k is the spring constant
x is the displacement (with respect to the equilibrium position)
m is the mass
v is the speed
Due to the conservation of energy, the total mechanical energy E must be constant. This means that:
- When the displacement (x) is maximum (so, at either A or B), the potential energy is maximum, while the kinetic energy is at minimum
- When the displacement (x) is zero (so, at midway between points A and B), the potential energy is at minimum, while the kinetic energy is at maximum
Therefore, the two correct statements are the last two:
- The mass is located midway between points A and B when its kinetic energy is at maximum.
- The mass is located at either point A or B when its potential energy is at minimum.
V = AT
v = a/2 T
d = 1/2 a T^2
d = 1/2 a/2 T^2
1/2 at^2 = 1/4 aT^2
2t^2 = T^2
T = (Sqrt2)t
Hope this helps
There are many ways to solve this but I prefer to use the energy method. Calculate the potential energy using the point then from Potential Energy convert to Kinetic Energy at each points.
PE = KE
From the given points (h1 = 45, h2 = 16, h<span>3 </span>= 26)
Let’s use the formula:
v2= sqrt[2*Gravity*h1] where the gravity is equal to 9.81m/s2
v3= sqrt[2*Gravity*(h1 - h3 )] where the gravity is equal to 9.81m/s2
v4= sqrt[2*Gravity*(h1 – h2)] where the gravity is equal to 9.81m/s2
Solve for v2
v2= sqrt[2*Gravity*h1]
= √2*9.81m/s2*45m
v2= 29.71m/s
v3= sqrt[2*Gravity*(h1 - h3 )
=√2*9.81m/s2*(45-26)
=√2*9.81m/s2*19
v3=19.31m/s
v4= sqrt[2*Gravity*(h1 – h2)]
=√2*9.81m/s2*(45-16)
=√2*9.81m/s2*(29)
v4=23.85m/s
Explanation:
The angle of the handle relative to the horizontal is 35°. The angle of the ramp to the horizontal is 7°. So the angle of the handle relative to the ramp is 28°.
cos 28° = 50 / F
F = 50 / cos 28°
F = 56.6 lbs
I think it’s mechanical waves..