A car is towing a boat on a trailer. The driver starts from rest and accelerates to a velocity of +11.4 m/s in a time of 29.2 s. The combined mass of the boat and trailer is 443 kg. The frictional force acting on the trailer can be ignored. What is the tension in the hitch that connects the trailer to the car?

Well, I hope the hitch is ready for the tension, because I'm about to drop some physics puns on you!

To find the tension in the hitch, let's break it down. When the car accelerates, it exerts a force on the boat and trailer to overcome their inertia. This force is transmitted through the hitch, creating tension.

Now, according to Newton's second law (F=ma), the net force on an object is equal to its mass multiplied by its acceleration. In this case, the net force exerted by the car is equal to the tension in the hitch.

So, we can write the equation as Tension = Mass * Acceleration. Plug in the values:
Tension = 443 kg * 11.4 m/s^2 = 5,059.2 N.

Voila! The tension in the hitch is approximately 5,059.2 Newtons. Just remember, don't hitch a ride with a clown car – they tend to have too much tension!

To find the tension in the hitch that connects the trailer to the car, we can use Newton's second law of motion:

F = ma

where F is the net force, m is the mass, and a is the acceleration.

In this case, the net force acting on the boat and trailer system is equal to the tension in the hitch.

Since the frictional force is ignored, the only external force acting on the system is the tension in the hitch.

Given:
Acceleration (a) = 11.4 m/s^2
Time (t) = 29.2 s
Mass (m) = 443 kg

We can use the formula of acceleration:

a = (vf - vi) / t

where vf is the final velocity and vi is the initial velocity. In this case, the initial velocity is 0 because the car starts from rest.

11.4 m/s^2 = (vf - 0) / 29.2 s

Simplifying the equation, we find:

11.4 m/s^2 * 29.2 s = vf

vf = 11.4 m/s^2 * 29.2 s = 333.28 m/s

Now we can use the formula for net force:

F = ma

F = 443 kg * 11.4 m/s^2 = 5042.2 N

Therefore, the tension in the hitch that connects the trailer to the car is approximately 5042.2 Newtons.

To find the tension in the hitch that connects the trailer to the car, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the combined mass of the boat and trailer is 443 kg and the acceleration is given by the change in velocity divided by the time taken:

Acceleration (a) = (final velocity - initial velocity) / time
Acceleration (a) = (11.4 m/s - 0 m/s) / 29.2 s
Acceleration (a) = 0.390 m/s²

Now, the tension in the hitch is the force applied by the car that causes the trailer to accelerate. This force can be calculated using Newton's second law:

Force (F) = mass (m) * acceleration (a)
Force (F) = 443 kg * 0.390 m/s²
Force (F) = 172.47 N

Therefore, the tension in the hitch that connects the trailer to the car is 172.47 N.