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:
The object will sink in the liquid in beaker 1.
The object will float in the liquid in beaker 2
Explanation:
The density of an object relative to the density of a fluid determines if the object floats or sink in a fluid. The density of a material is the measure of the amount of mass of that material packed into a unit volume of that material.
For the beaker 1, the liquid in this beaker has a density of 0.5 g/cc, which is lesser than the density of the object (0.85 g/cc). This means that the object will add more mass than there should be to the volume of the space it displaces within the field. This results in the object sinking in the fluid.
For beaker 2, the liquid in this beaker has a density of 1 g/cc, which is more than the density of the object (0.85 g/cc). This means that the object will add less mass than there should be to the volume of the space it displaces within the field. This results in the object floating in the fluid.
Answer:

Explanation:
A body has acceleration when there is a change in the velocity vector, either in magnitude or direction. In this case we only have a change in magnitude. The average acceleration represents the speed variation that takes place in a given time interval.
a)

b)

Answer: Work done by the box will be 8 Joules.
Explanation:
Work done by a substance is the product of the force applied on it and the displacement of a substance.
Mathematically,

Where,
W = work done = ? J
F = Force applied = 4 N
s = displacement = 2 m
Putting values in above equation, we get:

Hence, work done by the box will be 8 Joules.