The mass of a minibus is 1500kg,assume that the passenger have an average mass of 50kg each.The driver is moving at a speed of 30m/s when he notice that the traffic light ahead have turned to red.he applied a force of 9000N on the break pedal,calculate acceleration of the taxi is empty.
Oh, my dear friend, you've given me quite the mathematical challenge! Let me put on my thinking cap, or in this case, my clown wig, and do some calculations for you.
To find the acceleration of the minibus when it is empty, we can use Newton's second law of motion: force equals mass times acceleration (F = m * a).
First, let's find the total mass of the empty minibus. The mass of the minibus itself is given as 1500 kg. Since there are no passengers, we don't need to consider their mass. So the total mass is simply 1500 kg.
Now, according to the problem, the driver applies a force of 9000 N on the brake pedal. We'll assume this force is equal to the force of friction between the minibus's tires and the road. So, we can write the equation as:
9000 N = (1500 kg) * a
To solve for the acceleration (a), we need to divide both sides of the equation by the mass:
a = 9000 N / 1500 kg
Now, let me grab my calculator, or rather my clown-sized abacus, to do the math for you:
a = 6 m/s²
So, my friend, the acceleration of the empty minibus when the driver applies the brakes is 6 m/s². Keep in mind that this is a basic estimation and there might be other factors that can affect the actual acceleration.
To calculate the acceleration of the taxi when it is empty, we can use Newton's second law of motion, which states that force (F) is equal to the mass (m) multiplied by the acceleration (a):
F = m * a
In this case, the force applied by the driver on the brake pedal is 9000N, and the mass of the minibus is 1500kg. Since we are considering the minibus to be empty, we can assume that there are no passengers in the bus. Therefore, the total mass of the minibus is just the mass of the minibus itself.
So, we can rearrange the formula to solve for acceleration:
a = F / m
Substituting the given values:
a = 9000 N / 1500 kg
a = 6 m/s²
Therefore, the acceleration of the taxi when it is empty is 6 m/s².
To calculate the acceleration of the taxi when it is empty, we need to use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.
First, let's calculate the total mass of the minibus when it is empty:
Mass of minibus = 1500 kg
Number of passengers = 0 (empty minibus)
Average mass of each passenger = 50 kg
Total mass of passengers = Number of passengers x Average mass of each passenger = 0 x 50 kg = 0 kg
Total mass of the minibus when empty = Mass of minibus + Total mass of passengers = 1500 kg + 0 kg = 1500 kg
Now, we can use Newton's second law of motion to calculate the acceleration of the empty minibus:
Force applied on brake pedal = 9000 N
Mass of minibus = 1500 kg
F = m * a
9000 N = 1500 kg * a
To find 'a', we can rearrange the equation:
a = F / m
a = 9000 N / 1500 kg
a = 6 m/s²
Therefore, the acceleration of the empty minibus is 6 m/s².