A 1250 kg car increases it's speed from 11 m/s to 27 m/s in 5.4 s.
- What is the cars acceleration?
- How much force is required?
Newton's second law says
"Force = mass × acceleration".
Here acceleration = (27-11)/5.4 m/s²
mass = 1250 kg
So you can find the force accordingly.
Thank you :)
To find the car's acceleration, we can use the formula:
acceleration = (change in velocity) / time
The change in velocity can be calculated by subtracting the initial velocity from the final velocity:
change in velocity = final velocity - initial velocity
So, in this case:
initial velocity = 11 m/s
final velocity = 27 m/s
time = 5.4 s
change in velocity = 27 m/s - 11 m/s = 16 m/s
Now we can calculate the acceleration:
acceleration = (16 m/s) / (5.4 s) = 2.963 m/s²
So, the car's acceleration is approximately 2.963 m/s².
To find the force required to achieve this acceleration, we can use Newton's second law of motion:
force = mass × acceleration
In this case:
mass of the car = 1250 kg
acceleration = 2.963 m/s²
force = (1250 kg) × (2.963 m/s²) = 3703.75 N
So, the force required to achieve this acceleration is approximately 3703.75 Newtons.