The engine of a 1250 kg car provides a forward directed force of 3,560 N. If the car accelerates at a rate of 2.60 m/s2, what is the total resistive force (wind resistance, friction, etc.) acting on the car?

With zero resistive force, the acceleration would be

a = F/M = 2.848 m/s^2

Since it is only accelerating at 2.60 m/s^2, the resistive force is:

F - Fbackward = M a
Fbackward = F - M a
= 3560 - 2.60 M

Fbackward = 310 N

Well, here's the deal, my friend. The car's engine is doing its best to push the car forward with a force of 3,560 N. However, there are some pesky resistive forces trying to hold the car back, like wind resistance and friction. We need to figure out how much those forces add up to.

To calculate the total resistive force, we can use Newton's second law, which states that force equals mass times acceleration. In this case, the mass of the car is 1250 kg and the acceleration is 2.60 m/s². So, we have:

Force = mass × acceleration
Total resistive force = mass × acceleration - engine force

Plugging in the numbers:

Total resistive force = 1250 kg × 2.60 m/s² - 3560 N

And after doing a little math wizardry, we find that the total resistive force acting on the car is... (drumroll, please)... the answer!

To find the total resistive force acting on the car, we need to use Newton's second law of motion, which states:

Force = mass x acceleration

Given:
Mass of the car (m) = 1250 kg
Acceleration (a) = 2.60 m/s^2
Forward-directed force provided by the engine (F) = 3560 N

Rearranging the formula, we can solve for the total resistive force:

Force = mass x acceleration
Total Resistive Force = Force - Forward-directed force

Let's substitute the given values into the equation:

Total Resistive Force = (m x a) - F
Total Resistive Force = (1250 kg) x (2.60 m/s^2) - 3560 N

Calculating the expression:

Total Resistive Force = 3250 N - 3560 N
Total Resistive Force = -310 N

Therefore, the total resistive force acting on the car is -310 N. The negative sign indicates that the resistive force is acting in the opposite direction (opposing the motion of the car).

To solve this problem, we'll use Newton's second law of motion which states that the net force acting on an object is equal to the product of its mass and acceleration.

Here are the steps to find the total resistive force acting on the car:

Step 1: Identify the given values:
- Mass of the car (m) = 1250 kg
- Applied force (F) = 3560 N
- Acceleration (a) = 2.60 m/s^2

Step 2: Find the net force:
Net force (F_net) = m * a
F_net = 1250 kg * 2.6 m/s^2
F_net = 3250 N

Step 3: Determine the resistive force:
The net force acting on the car is equal to the sum of the applied force and the resistive force.
F_net = F - F_resist
3250 N = 3560 N - F_resist

Step 4: Solve for the resistive force:
F_resist = F - F_net
F_resist = 3560 N - 3250 N
F_resist = 310 N

Therefore, the total resistive force (wind resistance, friction, etc.) acting on the car is 310 N.