Answer:
a) Explanation below. b) Explanation below
Explanation:
Torque is defined as the product of a force by a radius, while momentum is defined as the product of force by a distance. Mathematically we would have
T = F * r
M = F * d
where:
T = torque = [N*m]
M = moment = [N*m]
F = force =[N]
d = distance [m]
r = radius [m]
Although they have the same units, the difference between them is the application. For the case of torque this is always applied in parts that are in rotation, such as the shafts of cars, the shafts of pumps, torque in gears and etc. While the moment can be applied to a body without the need for it to rotate.
A couple, is as its name suggests a couple of forces of equal magnitude but opposite sense and do not share a line of action. A body under the action of a couple of forces tends to rotate the body without moving it from one point to another.
Answer: N=2
Explanation:
We know that at the surface of the earth, value of g=
R
2
GM
At height h above the Earth's surface, the value of acceleration due to gravity g
′
=
(R+h)
2
GM
So it is given that g
′
=
4
g
When the bullet reaches maximum height, acceleration due to gravity is
4
1
th of that at planet's surface.
That implies
4R
2
GM
=
(R+h)
2
GM
→h=R
By conservation of mechanical energy,
R
−GMm
+
2
1
mv
2
=
h+R
−GMm
+0 since velocity is zero at max height. ⇒
2
1
mv
2
=
2R
GMm
v=
R
GM
=
2R
2GM
=
2
1
R
2GM
=
2
1
v
esc
⇒v
esc
=
2
v
⇒N=2
Answer:
= -32.53 m / s
this velocity is directed downwards
Explanation:
This is a free fall exercise, let's use the expression
= v_{oy}^{2} + 2 g (y -yo)
where we are assuming that there is friction with the air, as the body falls its initial velocity is zero
v_{oy} = √ 2g (y - y₀)
let's calculate
v_{y} = √ (2 9.8 (0-54.0))
= -32.53 m / s
this velocity is directed downwards
Answer:
Because electromagnetic waves can travel through empty space
Explanation:
The energy that is emitted from the sun is transferred to the earth in the form of radioactive waves. These waves are originated due to the vibration between the electric and magnetic fields. As this energy reaches the earth, it warms the earth's atmosphere, resulting in the transfer of heat energy in three possible ways namely the conduction, convection, and radiation.
This electromagnetic waves do not require any matter for the transmission of energy, and can easily travel in empty space from the core of the sun to the earth and other nearby planets. Whereas other types of waves cannot travel in space, so it is transferred in the form of electromagnetic waves only.
<span>John Dalton’s model of the atom was the first model of the atom that was proposed. John Dalton discovered the atom which he said composed matter, which is basically anything and everything. He proposed that all matter is composed of atoms which are small and indivisible particles. His model which may be true, is too general and soon were extended by other scientists.</span>