The Kinetic Energy Formula is as follows: KE = mass x velocity^2 / 2
Plug in the correct numbers into the units!
KE = 4 kg x 16 m/s ^2 / 2
Square the 16 m/s.
KE = 4 kg x 256 m/s / 2
Multiply 4 x 256
KE = 1,024 / 2
Divide!
KE = 512 Newton-meters or Joules!!
Answer:
Should place the current perpendicular to the magnetic field
Explanation:
The magnetic force exerted on a current-carrying wire is given by
where
I is the current in the wire
L is the length of the wire
B is the magnetic field
is the angle between the direction of the wire and the magnetic field
As we see from the formula, the magnetic force is maximum when
which means
So, when the current in the wire and the magnetic field are perpendicular to each other.
Answer:
a) S = v₀² / 4 g sin θ
Explanation:
Let's apply Newton's second law, let's take a coordinate system with an axis parallel to the plane and the other perpendicular, in this case the only force that we have to decompose the weight (W)
Wx = W sin θ
Wy = W cos θ
First case. Body slides down
X axis
Wx-fr = 0
Axis y
N -Wy = 0
N = Wy
fr = Wx = W sint θ
Miu N = W sint θ
Miu W cos θ = Wsin θ
Miu = tan θ
Second case. Body raises the plane
X axis
Wx + Fr = m a
Axis y
N-Wy = 0
let's find the acceleration of the body going up
a = (Wx + fr) / m
fr = μ N = μ Wy
fr = μ mg cos θ
a = (mg sin θ + μ mg cos θ) / m
a = g (sin θ + μ cos θ)
a = g (sin θ + tan θ cos θ)
a = g (sin θ + sin θ)
a = g 2 sin 2
With the kinematic equation we find the distance that goes up, at the highest point the zero speed (vf = 0)
Vf² = v₀² - 2 a t S
0 = v₀² -2a S
S = v₀² / 2 a
S = v₀² / 2 (g 2sin θ)
S = v₀² / 4 g sin θ
b) in this case the block tries to slide down whereby the friction force opposes this movement
Wx- fr =, m a
mg sin θ - μ mg cos θ = m a
g (sin θ - μ cos θ) = a
a = g 2 sin θ
so that the body slides depends on the angle T for angles close to zero the body does not slide
Answer:
--->
Explanation:
1. Air Resistance- this is a type of frictional force that acts upon objects as they travel through air. It usually opposes the motion of an object and it is mathematically difficult to predict its value.
2. Gravity- the force of gravity is the force that the earth, and moon use to attract an object towards itself. The moon has far less gravity than earth. All objects on earth experience a force of gravity that pulls them downward, towards the center of the earth.
3. Tension- the tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire
4. Friction- this is the force exerted by a surface when an object moves across it. Friction results from the two surfaces being pressed together closely.
5. Electromagnetic force- although they don't seem similar, electricity and magnetism are related. Flowing electrons produce magnetism, and a moving magnet produces electricity.
6. Upthrust- this is the upward force that a liquid or gas exerts on a body floating in it.
7. Spring force- The spring force is the force exerted by a compressed spring upon any object that is attached to it. This object is always acted upon by a force that restores the object to its rest or equilibrium position.
8. Applied force- An applied force is a force that is applied to an object by a person or another object.
9. Electrostatic force- The types of forces exerted by all electrically charged bodies on another charged bodies in the universe are ‘electrostatic forces’. They can be either positively or negatively charged.
10. Nuclear force- these are the forces that act between two or more nucleons. They bind protons and neutrons into atomic nuclei. The nuclear force is about 10 millions times stronger than the chemical binding that holds atoms together in molecules.