Exciting Physics Problem: Calculating Force Experienced by Passenger
What force magnitude F does a 60.0 kg passenger experience during this acceleration?
a) 1.36 × 10³ N b) 1.36 × 10² N c) 1.36 × 10⁴ N d) 1.36 × 10⁵ N
Answer:
The force experienced by a 60.0 kg passenger during acceleration can be calculated as follows:
First, find the acceleration of the car using the formula a = Δv / Δt.
Acceleration = Change in velocity / Time = 27.78 m/s / 4.43 s = 6.27 m/s²
Next, use Newton's second law of motion, F = ma, where F is the force, m is the mass of the passenger (60.0 kg), and a is the acceleration (6.27 m/s²).
Force = 60.0 kg × 6.27 m/s² = 376.2 N
Therefore, the force experienced by the 60.0 kg passenger during the car's acceleration is approximately 376.2 N.
Physics problems can be exciting to solve, especially when calculating forces and accelerations. In this scenario, we are presented with a situation where a car accelerates uniformly from 0 to 100 km/h in 4.43 seconds. Our goal is to determine the force experienced by a 60.0 kg passenger during this acceleration.
To tackle this problem, we first need to calculate the acceleration of the car. This can be done by dividing the change in velocity by the time taken. In this case, the car goes from 0 to 100 km/h, which is equivalent to 27.78 m/s. The acceleration 'a' is calculated as 6.27 m/s².
Once we have determined the acceleration, we can use Newton's second law of motion, F = ma, to find the force. By multiplying the mass of the passenger (60.0 kg) by the acceleration (6.27 m/s²), we get a force of 376.2 N. This is the approximate force experienced by the passenger during the car's acceleration.
It's important to understand the concepts of forces, accelerations, and Newton's laws when solving physics problems like this one. By breaking down the problem step-by-step and applying the relevant physics principles, we can arrive at the correct answer and deepen our understanding of the physical world.