Physics in Daily Life and Motion Concepts

Seatbelts are designed to secure passengers in their seats during sudden stops or collisions, which is crucial for safety. According to physics principles, when a vehicle abruptly decelerates, the body tends to continue moving forward due to inertia. Seatbelts counteract this effect by restraining the passengers, preventing them from being ejected from their seats or colliding with the vehicle's interior. This minimizes the risk of injury and enhances overall safety by ensuring that the forces experienced during a crash are distributed more evenly across the body.

To find the speed of the motorcycle, divide the distance traveled by the time taken. The motorcycle covers 360 meters in 18 seconds. Speed is calculated as distance divided by time:

Speed = Distance / Time = 360 m / 18 s = 20 m/s.

Thus, the speed of the motorcycle is 20 meters per second.

To find acceleration, use the formula: acceleration = (final velocity - initial velocity) / time. Here, the initial velocity is 15 m/s, the final velocity is 35 m/s, and the time is 10 seconds. Substituting these values gives: (35 m/s - 15 m/s) / 10 s = 20 m/s / 10 s = 2.0 m/s². This indicates the car's speed increases by 2.0 meters per second for each second of the 10-second interval.

Angular displacement measures the shortest path between two points on a circle. Starting from the 3 o'clock position and moving clockwise to the 9 o'clock position, the minute hand travels 180 degrees. However, since the movement is clockwise, the displacement is considered negative in this context, resulting in an angular displacement of -180°. This indicates a full half-turn in the clockwise direction.

Efficiency is calculated by dividing the useful work output by the total work input and then multiplying by 100 to get a percentage. In this case, the machine converts 150 J of useful work from a 200 J input. Thus, efficiency = (150 J / 200 J) × 100 = 75%. This means that 75% of the input energy is effectively used for work, while the remaining 25% is lost, indicating the machine's performance level.

Average angular velocity is calculated by dividing the total angular displacement by the time taken. In this case, the ferris wheel has an angular displacement of 6.0 radians over a period of 30 seconds. By using the formula:

Average angular velocity = Angular displacement / Time

we get:

Average angular velocity = 6.0 radians / 30 seconds = 0.20 rad/s.

This value indicates how fast the ferris wheel is rotating on average during that time interval.

Translational motion involves the movement of an object along a path, where distance and displacement are quantified in meters. In contrast, rotational motion pertains to objects that spin around a fixed axis, characterized by angular velocity measured in radians per second (rad/s). Additionally, angular acceleration is a crucial concept in rotational dynamics, indicating the rate of change of angular velocity over time. These principles highlight the differences and specific measurements associated with translational and rotational motion.