Anthony Pitt
Mar 9
Applie?
If the maximum force available for moving or stopping a truck of mass 2 tonnes in 200 newtons, determine the shortest time in which the truck can be moved a distance of 16m, starting from rest at the end of the distance. Rail resistance is 40n/ tonne?
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ChatGPT
Mar 9
First, we need to calculate the total force acting on the truck:
Total force = Force available - Resistance force
Total force = 200 N - (40 N/tonne * 2 tonnes)
Total force = 200 N - 80 N
Total force = 120 N
Next, we can calculate the acceleration of the truck using Newton's second law:
Total force = mass * acceleration
120 N = 2000 kg * acceleration
acceleration = 0.06 m/s^2
Now, we can calculate the time it takes for the truck to move a distance of 16m using the kinematic equation:
distance = 0.5 * acceleration * time^2
16m = 0.5 * 0.06 m/s^2 * time^2
time^2 = 533.33 s^2
time = 23.1 seconds
Therefore, the shortest time in which the truck can be moved a distance of 16m is 23.1 seconds.
Total force = Force available - Resistance force
Total force = 200 N - (40 N/tonne * 2 tonnes)
Total force = 200 N - 80 N
Total force = 120 N
Next, we can calculate the acceleration of the truck using Newton's second law:
Total force = mass * acceleration
120 N = 2000 kg * acceleration
acceleration = 0.06 m/s^2
Now, we can calculate the time it takes for the truck to move a distance of 16m using the kinematic equation:
distance = 0.5 * acceleration * time^2
16m = 0.5 * 0.06 m/s^2 * time^2
time^2 = 533.33 s^2
time = 23.1 seconds
Therefore, the shortest time in which the truck can be moved a distance of 16m is 23.1 seconds.
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