Answer:
0.71 kg
Explanation:
L = length of the steel wire = 3.0 m
d = diameter of steel wire = 0.32 mm = 0.32 x 10⁻³ m
Area of cross-section of the steel wire is given as
A = (0.25) πd²
A = (0.25) (3.14) (0.32 x 10⁻³)²
A = 8.04 x 10⁻⁸ m²
ΔL = change in length of the wire = 1.3 mm = 1.3 x 10⁻³ m
Y = Young's modulus of steel = 20 x 10¹⁰ Nm⁻²
m = mass hanging
F = weight of the mass hanging
Young's modulus of steel is given as


F = 6.968 N
Weight of the hanging mass is given as
F = mg
6.968 = m (9.8)
m = 0.71 kg
Gravity is pulling everything down . Without it, we all would be floating.
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