In a grocery store, you push a 14.5 kg shopping cart with a force of 12 N. If the cart starts from rest, how far does it move in 3 sec?
To find how far the shopping cart moves in 3 seconds, we can use Newton's second law of motion and kinematic equations.
First, let's calculate the acceleration of the shopping cart using Newton's second law:
F = ma
Where:
F = force applied on the shopping cart = 12 N
m = mass of the shopping cart = 14.5 kg
a = acceleration
Rearranging the equation, we have:
a = F / m
Let's substitute the given values:
a = 12 N / 14.5 kg
Now we can calculate the acceleration.
Next, we can use one of the kinematic equations to find the displacement of the shopping cart:
d = vit + 0.5at²
Where:
d = displacement
vi = initial velocity (which is 0 since the cart starts from rest)
t = time = 3 s
a = acceleration (calculated previously)
Substituting the values into the equation, we have:
d = 0 + 0.5 * a * t²
Now we can substitute the calculated acceleration and time values to find the displacement.