Calculating Net Force and Acceleration in Physics
PART A) What is the magnitude of the net force on a(n) 82 kg driver operating a dragster as it accelerates horizontally along a straight line from rest to 67 m/s in 8.4 s?
Answer:
The magnitude of the net force on the 82 kg driver can be calculated using the equation F = m * a, where F is the net force, m is the mass of the driver (82 kg), and a is the acceleration.
Given that the driver accelerates from rest to 67 m/s in 8.4 seconds, the acceleration can be calculated as follows:
a = (67 m/s - 0 m/s) / 8.4 s = 7.976 m/s^2
Substitute the values into the equation to find the net force:
F = 82 kg * 7.976 m/s^2 = 654 N
Therefore, the magnitude of the net force on the 82 kg driver is 654 N.
In kN, the force's magnitude is: 0.654 kN
Explanation:
Accelerating from Rest to 67 m/s:
When the dragster accelerates from rest to a final velocity of 67 m/s in 8.4 seconds, the acceleration can be calculated using the kinematic equation:
v = u + at
Where: - v is the final velocity (67 m/s), - u is the initial velocity (0 m/s), - a is the acceleration, and - t is the time taken (8.4 s).
Substitute the values into the equation to find the acceleration:
67 = 0 + a * 8.4
a = (67 - 0) / 8.4 = 7.976 m/s^2
Calculating the Net Force:
The net force acting on an object can be determined using Newton's Second Law of Motion, which states that the net force is equal to the mass of the object multiplied by its acceleration:
F = m * a
Given that the mass of the driver is 82 kg, substitute the values to find the net force:
F = 82 kg * 7.976 m/s^2 = 654 N
Converting to kN:
To convert the force from newtons (N) to kilonewtons (kN), divide the magnitude of the force by 1000:
654 N / 1000 = 0.654 kN
Therefore, the magnitude of the net force on the 82 kg driver operating the dragster is 0.654 kN.