Mechanics (Part – 3)

• It is this physical force that pushes or pulls the object towards the centre of the circle.
• In the case of a car moving along a curve, as it makes a turn, the force of friction acting upon the turned wheels of the car provides the centripetal force required for circular motion.
• Formula for Centripetal force :

       Centripetal force = mass x velocity² / radius

The time taken is given as 1 second.

Since the displacement is zero, the average velocity is calculated as:

                                              Average velocity=Time / Displacement

Average velocity=0/1 = 0

The average velocity of a body moving along a circular path after completing one full cycle in one second is zero because the displacement is zero.

How it works:

During the wash cycle, the clothes are agitated in soapy water. When the drum spins, the centrifugal force pushes the water and dirt outwards through small holes in the drum, leaving the clothes relatively dry.

A hydrometer is a common tool used to measure the specific gravity of liquids, including milk.

• The specific gravity of milk is a measure of its density relative to the density of water.
• It can be calculated using a simple formula:
•                                              Specific Gravity = (Density of milk) / (Density of water)​
• Since the density of water is typically around 1.00 g/cm³ at 4°C, the specific gravity of milk is numerically equal to its density (g/cm³) at that temperature.

The angle between centripetal acceleration and tangential acceleration is always 90° (perpendicular to each other).

1. Centripetal acceleration is directed towards the center of the circular path, responsible for keeping the object moving along the circular trajectory.

2. Tangential acceleration is directed along the tangent to the circular path at any given point. This component is responsible for changing the speed of the object along the circular path (i.e., the magnitude of the velocity).

Since centripetal acceleration is directed radially inward (towards the center) and tangential acceleration is directed along the circle's tangent (perpendicular to the radius), the two accelerations are always perpendicular to each other.

Thus, the angle between the centripetal acceleration and the tangential acceleration is always 90°, no matter the object's speed or position on the circular path.

Since work is calculated using the formula:

• W=F⋅d⋅cos⁡(θ)
  where:

W is the work done,

F is the force,

d is the displacement,

θ is the angle between the force and displacement vectors.

In the case of centripetal force, the angle θbetween the force and the displacement (which is tangential to the circle) is 90°.

The cosine of 90° is 0.

At the highest point, it has zero velocity but has downward acceleration equal to the acceleration due to gravity.

                                                                                   2s=gt² 
Where:

• s = displacement (distance traveled)
• g = acceleration due to gravity (approximately 9.8 m/s²)
• t = time elapsed
  From this equation, it is clear that distance traveled (s) is proportional to t², which means the distance increases as the square of the time for a freely falling body.

So, the correct answer is: The distance traveled by a freely falling body is proportional to the square of the time t².

which is correctly written as s = ut + 1/2 at².

It represents the distance 's" traveled by the body in time 't', with acceleration 'a' and initial velocity 'u'.