Find the acceleration produced by a force of 1650N against a friction force of 500N while pushing on a mass of 6.50kg.

To find the acceleration produced by a force, you can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula for this relationship is:

a = F_net / m

where:
a = acceleration
F_net = net force
m = mass

In this case, the net force can be calculated by subtracting the friction force from the applied force:

F_net = F_applied - F_friction

Let's plug in the values we have:

F_applied = 1650 N
F_friction = 500 N
m = 6.50 kg

First, let's calculate the net force:

F_net = 1650 N - 500 N
F_net = 1150 N

Now we can substitute the values into the equation for acceleration:

a = F_net / m
a = 1150 N / 6.50 kg

Calculating this gives us:

a ≈ 176.92 m/s²

Therefore, the acceleration produced by the force of 1650 N against a friction force of 500 N while pushing a mass of 6.50 kg is approximately 176.92 m/s².