Answer:
The initial speed of the block is 1.09 m/s
Explanation:
Given;
mass of block, m = 1.7 kg
force constant of the spring, k = 955 N/m
compression of the spring, x = 4.6 cm = 0.046 m
From principle of conservation of energy
kinetic energy of the block = elastic potential energy of the spring
¹/₂mv² = ¹/₂kx²
mv² = kx²
where;
v is the initial speed of the block
x is the compression of the spring
Therefore, the initial speed of the block is 1.09 m/s
The answer is A. I just had that question.
Hope this helps!
:)
Answer:
The answer is d = 29.43 [mm]
Explanation:
See attachment to follow steps:
- We know the bolt stress, and Stress = Force per unit area (σ =F/A)
- A bolt´s cross section is a circle, we can calculate its area
- We know the bolt´s diameter to be 12[mm], we calculate its area to be 113.10 [mm]
- Going back to step one, we can calculate the force that is tensioning the bolt and compressing the wooden planks. This force is F = 4071.60 [N]
- Now we want to calculate the minimum outer diameter of the washer and not exceed the bearing strength on the planks which is 8.5[Mpa]
- Again, we know that σ = F/A, this time we are using the area of the washer
- We know the ID of the washer, but not the OD (d), writing the equation of the area in terms of d and ID is helpful
- Now that we know the equation of the area and that it is equal to F/σmax we can solve for d (outer diameter of washer)
- We solve for d and write down the equation
- Substitute all known values into the equation for the outer diameter of the washer
- Compute and get the outer diameter, d = 29.43 [mm]
Any higher value of d, will decrease the Stress when the known Force is acting on the washer. Any lower value of d will increase the Stress and make it exceed the allowable of 8.5 [Mpa]
I think it’s turning on a lamp
Answer:
1.17427...kg
Explanation:
Assumptions: no friction, no air resistance, no internal resistance, and it is 1 dimensional travel for velocity.
p=mv, where p is momentum, m is mass, and v is velocity
28.3=24.1(m)
divide both sides by 24.1
you get 1.174273859
