Answer:
F = 56 N
Explanation:
- Assuming that the applied force is parallel to the displacement, according to the definition of work, we can write the following expression for the force required:
A cylindrical bar of metal having a diameter of 18.5 mm and a length of 204 mm is deformed elastically in tension with a force o
f 49800 N. Given that the elastic modulus and Poisson's ratio of the metal are 64.0 GPa and 0.33, respectively, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Indicate an increase in diameter with a positive number and a decrease with a negative number.
1 answer:
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Answer: 10000 kg
Explanation:
The momentum is given by the following equation:
(1)
Where:
is the mass of the object
is the velocity of the object
Now, in this case and according the conservation of momentum:
(2)
Where:
is the mass of the spacecraft
is the mass of the asteroid
is the initial velocity of the spacecraft
is the initial velocity of the asteroid (because we are told the asteroid is stationary, as the spacracft is on the sateroid it remains stationary as well)
is the final velocity of the spacecraft
is the final velocity of the asteroid
Rewritting (2):
(3)
(4)
Finding :
This is the mass of the asteroid
Answer:
Weight required = 194.51 N
Explanation:
The elongation is given by
Length , L= 1.6 m
Diameter, d = 1.1 mm
Area
Change in length, ΔL = 2.8 mm = 0.0028 m
Young's modulus of copper, E = 117 GPa = 117 x 10⁹ Pa
Substituting,
Weight required = 194.51 N