Answer :
The mass of the school bus is 3991 kg, calculated by using Newton's second law of motion, dividing the applied force of 7,500 N by the acceleration of 1.87879 m/s² which is derived from the bus's change in velocity over time.
To determine the mass of a school bus based on its acceleration and the force applied, we can use Newton's second law of motion, which states that the force applied on an object is equal to the mass of the object times its acceleration (F = ma). Given that the bus accelerates from rest to 15.5 m/s over 8.25 s with 7,500 N of force, we can first calculate the acceleration:
a = (final velocity - initial velocity) / time
a = (15.5 m/s - 0 m/s) / 8.25 s
a = 1.87879 m/s2
Now, using Newton's second law, we can solve for mass (m):
F = ma
7,500 N = m × 1.87879 m/s2
m = 7,500 N / 1.87879 m/s2
m = 3991 kg
Therefore, the mass of the school bus is 3991 kg.
The mass of a school bus if it can accelerate from rest to 15.5 m/s over 8.25s with 7,500 N of force is 3989.4kg.
HOW TO CALCULATE MASS:
- The mass of an object can be calculated by dividing the force applied to the object by its acceleration.
- According to this question, a bus can accelerate from rest to 15.5 m/s over 8.25s. The acceleration can be calculated as follows:
- a = (v - u)/t
- a = 15.5 - 0/8.25
- a = 15.5/8.25
- a = 1.88m/s²
- The mass of the bus = 7500N ÷ 1.88m/s²
- The mass of the bus = 3989.4kg
- Therefore, the mass of a school bus if it can accelerate from rest to 15.5 m/s over 8.25s with 7,500 N of force is 3989.4kg.
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