Post by TheOverSeer on Nov 7, 2024 14:42:35 GMT
The acceleration of an object is proportional to the resultant force acting
on it and inversely proportional to the object's mass
An object will accelerate in response to a resultant force.
The Bigger the resultant force the large the acceleration
Calculating Force an Acceleration
F = ma Force equals mass times acceleration
F = resultant force on an object in Newtons (N)
m = mass of an object in kilograms (kg)
a = acceleration of an object in meters per second squared (m/s2)
A car salesman says that his best car has a mass of 900 kg and can accelerate from 0 to 27 m/s in 3 seconds. Calculate:
a) The acceleration of the car in the first 3 seconds.
b) The force required to produce this acceleration.
Step 1: List the known quantities
Initial velocity = 0 m/s
Final velocity = 27 m/s
Time, t = 3 s
Step 2: Calculate the change in velocity
change in velocity = Δv = final velocity − initial velocity
Δv = 27 − 0 = 27 m/s
Step 3: State the equation for acceleration
Δv
a = ---
t
Step 4: Calculate the acceleration
a = 27 ÷ 3 = 9 m/s2
Step 1: List the known quantities
Mass of the car, m = 900 kg
Acceleration, a = 9 m/s2
Step 2: Identify which law of motion to apply
The question involves quantities of force, mass and acceleration, so Newton's second law is required:
F = ma
Step 3: Calculate the force required to accelerate the car
F = 900 × 9 = 8100 N
on it and inversely proportional to the object's mass
An object will accelerate in response to a resultant force.
The Bigger the resultant force the large the acceleration
Calculating Force an Acceleration
F = ma Force equals mass times acceleration
F = resultant force on an object in Newtons (N)
m = mass of an object in kilograms (kg)
a = acceleration of an object in meters per second squared (m/s2)
A car salesman says that his best car has a mass of 900 kg and can accelerate from 0 to 27 m/s in 3 seconds. Calculate:
a) The acceleration of the car in the first 3 seconds.
b) The force required to produce this acceleration.
Step 1: List the known quantities
Initial velocity = 0 m/s
Final velocity = 27 m/s
Time, t = 3 s
Step 2: Calculate the change in velocity
change in velocity = Δv = final velocity − initial velocity
Δv = 27 − 0 = 27 m/s
Step 3: State the equation for acceleration
Δv
a = ---
t
Step 4: Calculate the acceleration
a = 27 ÷ 3 = 9 m/s2
Step 1: List the known quantities
Mass of the car, m = 900 kg
Acceleration, a = 9 m/s2
Step 2: Identify which law of motion to apply
The question involves quantities of force, mass and acceleration, so Newton's second law is required:
F = ma
Step 3: Calculate the force required to accelerate the car
F = 900 × 9 = 8100 N
