Answer:
2.5 m/s²
Explanation:
Acceleration: This can be defined as the rate of change of velocity.
The S.I unit of acceleration is m/s²
For circular motion, the expression for acceleration is given as,
a = ω²r ................ Equation 1
Where a = acceleration of the particle, ω = angular speed of the particle, r = radius of the circular path.
Given: ω = 5 rev/s = 31.42 rad/s, r = 0.10 m.
Substitute into equation 1
a = 5²(0.10)
a = 25(0.10)
a = 2.5 m/s²
Hence the acceleration of the particle = 2.5 m/s²
Hence, none of the option is correct
Yes that is a balaned equation
After my ythorough researching, the orbital velocity of the Earth compare to the Mercury is relative to each other. In addition, Mercury orbits the Sun and it is within the Earth's orbit as its lesser or inferior. The correct answer to the following given statement above is relative to each other.
The matter is a collection or composition of extremely small particles called "Atoms".
<u>Explanation</u>:
- The matter is anything that has mass and which utilizes space by having volume.
- Modern scientists describe the makeup of matter as a collection of tiny substances called atoms.
- Matter can either be in solid, liquid, or gaseous state and even appear in plasma form.
- Matter can neither be created nor be destroyed but only transferred from one form to the other.
- Atoms are composed protons, neutrons and electrons. The protons and neutrons are contained in the nucleus, while the electrons orbit around the nucleus of the atom.
- Protons are positively charged, neutrons are neutral and electrons are negative.
Hello!
We can begin by summing the forces acting on the stone when it is at the bottom of its trajectory.
Refer to the free-body diagram in the image below for clarification.
We have the force of tension (produced by the string) and the force of gravity acting in opposite directions, so:

The net force is equivalent to the centripetal force experienced by the stone. Recall the equation for centripetal force for uniform circular motion:

m = mass of object (1.2 kg)
v = velocity of object (? m/s)
r = radius of circle (0.75 m)
The centripetal force is the resultant of the forces of tension and gravity, and points upward (same direction as the tension force) since the tension force is greater.
Therefore:

We can solve the equation for 'v':

Plug in values and solve.
