What is the magnitude of force required to accelerate a car of mass 1.7 × 10³ kilograms by 4.75 meters/secondÆ?
To calculate the magnitude of force required to accelerate an object, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.
In this case, the mass of the car is given as 1.7 × 10³ kilograms, and the acceleration is 4.75 meters/second².
Step 1: Write down the given values:
Mass (m) = 1.7 × 10³ kilograms
Acceleration (a) = 4.75 meters/second²
Step 2: Apply Newton's second law of motion:
Force (F) = mass × acceleration
Step 3: Substitute the given values into the equation:
Force (F) = (1.7 × 10³ kg) × (4.75 m/s²)
Step 4: Calculate the force:
F = 8.075 × 10³ Newtons
Therefore, the magnitude of force required to accelerate a car of mass 1.7 × 10³ kilograms by 4.75 meters/second² is 8.075 × 10³ Newtons.
Is this:
m = 1.7 * 10^3 kg
and
a = 4.75 m/s^2
?????
if so then
F = m a
F = 1700*4.75 = 8075 Newtons