Centripetal force needed to move mass 'm' in a circle with radius 'r' at speed 'v' is
F = m · v² / r
F = (85 kg) ·(15 m/s)² / (20 m)
F = (85kg · 225m²) / (20 m·s²)
F = (85 · 225 / 20) (kg·m² / m·s²)
F = 956.25 kg·m/s²
F = 956.25 Newtons
Answer:
Toward the centre of the circular path
Explanation:
The can is moved in a circular path: this means that it is moving by circular motion (uniform circular motion if its tangential speed is constant).
In order to keep a circular motion, an object must have a force that pushes it towards the centre of the circular trajectory: this force is called centripetal force, and its magnitude is given by
where m is the mass of the object, v its tangential speed, r the radius of the trajectory. This force always points towards the centre of the circular path.
The acceleration of the box is 6 m/s²; option A.
<h3>What is the acceleration of the box?</h3>
The acceleration of the box is determined as follows:
Frictional force = 660 * 0.15 = 99 N
Net force = 500 - 99 = 401 N
- Force = mass * acceleration
Mass of the box = 660/9.8 = 67.3 kg
Acceleration = net force/mass
Acceleration = 401/67.3
Acceleration = 6 m/s²
In conclusion, the acceleration of the box is determined from the net force and the mass of the box.
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Answer:
It is said that the negative charge moves because the electrons in the atoms of any object are taken or given to the atoms of another object.
Explanation:
The atom is made up of protons, electrons and neutrons. The number of protons is exactly the same to the number of electrons for a certain element. For example, hydrogen: it has a proton, and therefore, an electron.
The electron has a negative charge. The proton has a positive charge. And the neutron has no charge, so it is neutral. While the atom has the same number of protons and electrons, it will not be electrically charged.
An example of how a charge exchange occurs between two objects is through the case of rubbing. This makes the atoms of the two objects close enough that there is an electron transfer, causing any of the objects to gain or lose electrons as a consequence of each other interaction. In the case of transferring electrons, the atom will have a greater number of protons, so it will be positively charged. When the atom receive electrons, it will have a greater number of electrons, so it will be negatively charged.
Therefore, since it is the electrons that move from one atom to another, then it is the negative charge that moves (<em>characterized by the electrons</em>) and not the positive charge (<em>characterized by the protons</em>).
Answer:
The final velocity of the fisherman and the boat = -1.27 m/s
Explanation:
Mass of fisherman, M₁ = 81 kg
Mas of Rowboat, M₂ = 136 kg
Initial velocity of the fisherman, v₁ = -3.4 m/s (Westwards)
Initial velocity of the rowboat, v₂ = 0 m/s ( It is at rest)
The final velocity of the fisherman and the boat, v = ?
Using the principle of momentum conservation
M₁v₁ + M₂v₂ = (M₁ + M₂) v
-(81*3.4) + (136*0) = (81 + 136) v
-275.4 = 217v
v = -275.4/217
v = -1.27 m/s