Pulling up on a rope, you lift a 4.35-kg bucket of water from a well with an acceleration of 1.78m/s^2. What is the tension in the rope?
Force down = 4.35*9.81
Force up = T
T - 4.35 * 9.81 = 4.35 * 1.78
T = 4.35 (9.81+1.78)
A wooden frame weighing 2N is hung on a nail using 2 ropes, find tension in the ropes.
Well, we're lifting a bucket of water, huh? I guess you could say we're "raising the bar," or in this case, "raising the bucket!" So, let's calculate the tension in the rope.
To find the tension, we can use Newton's second law, which states that force equals mass times acceleration (F = ma). In this case, the force is the tension in the rope, the mass is the 4.35 kg bucket of water, and the acceleration is 1.78 m/s^2.
So, let's plug in the numbers:
F = (4.35 kg) * (1.78 m/s^2)
That gives us:
F = 7.747 kg * m/s^2
Now, let's give this equation a little "lift" and simplify it. The unit for force is the newton (N), so:
F = 7.747 N
Well, well, well! The tension in the rope is approximately 7.747 newtons. Sounds like it's got the "pull"ing power to get the job done!
To find the tension in the rope, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.
The net force acting on the bucket can be calculated as:
Net force (Fnet) = mass (m) x acceleration (a)
Given:
Mass of the bucket (m) = 4.35 kg
Acceleration (a) = 1.78 m/s^2
Substituting the values, we get:
Fnet = 4.35 kg x 1.78 m/s^2
Fnet ≈ 7.753 N
Since the tension in the rope is equal to the net force acting on the bucket, the tension in the rope is approximately 7.753 Newtons.
To find the tension in the rope, 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. The net force in this case is the tension in the rope.
The equation that relates these quantities is:
Net force = mass * acceleration
In this scenario, we are given the mass of the bucket of water (4.35 kg) and the acceleration (1.78 m/s^2). Therefore, we can plug in these values into the equation to find the net force:
Net force = 4.35 kg * 1.78 m/s^2
Now that we have the value for the net force, we know that it is equal to the tension in the rope. Thus, the tension in the rope is:
Tension = 4.35 kg * 1.78 m/s^2
Evaluating this expression will give us the answer.