A shopper in a supermarket pushes a loaded

32 kg cart with a horizontal force of 15 N.
The acceleration of gravity is 9.81 m/s2 .
a) Disregarding friction, how far will the
cart move in 3.3 s, starting from rest?
Answer in units of m

HINT: First find the weight of the cart, then solve it with his horizontal push force.

To find the distance the cart will move in 3.3 seconds, we can use the equation of motion:

distance = initial velocity * time + 0.5 * acceleration * time^2

In this case, the initial velocity is 0 since the cart starts from rest. The acceleration is the net force divided by the mass of the cart, using Newton's second law (F = ma).

First, let's calculate the acceleration:

acceleration = net force / mass

Given that the mass of the cart is 32 kg and the net force is 15 N:

acceleration = 15 N / 32 kg

Now, we can calculate the distance:

distance = 0.5 * acceleration * time^2

distance = 0.5 * (15 N / 32 kg) * (3.3 s)^2

Simplifying this equation will give us the final answer in meters.