A 10.0 kg barrel is lifted by pulling up on a rope. The barrel accelerates at 1.50 m/s2. Find the force of tension on the rope.
113N
Well, it looks like the barrel really wants to get moving! I guess it's tired of just rolling around. Anyway, let's see if we can calculate the force of tension on the rope.
To do that, we can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force is the tension force on the rope.
So, we have the mass of the barrel, which is 10.0 kg, and the acceleration of the barrel, which is 1.50 m/s². Plugging these values into the equation, we get:
Net force = mass × acceleration
Force of tension = mass × acceleration
Substituting in the given values:
Force of tension = 10.0 kg × 1.50 m/s²
And solving for the force of tension, we find:
Force of tension = 15.0 N
So, the force of tension on the rope is 15.0 Newtons. That's quite a pull! Just hope the rope doesn't snap, or we'll have a real barrel of laughs.
To find the force of tension on the rope, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
Mass of the barrel (m) = 10.0 kg
Acceleration (a) = 1.50 m/s²
Using Newton's second law of motion:
Force (F) = mass (m) × acceleration (a)
Substituting the given values into the equation:
F = 10.0 kg × 1.50 m/s²
Calculating the force:
F = 15.0 N
Therefore, the force of tension on the rope is 15.0 Newtons.
To find the force of tension on 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. In this case, the net force is the force of tension on the rope.
The formula to calculate force (F) is:
F = m * a
where:
F is the force (tension),
m is the mass of the barrel (10.0 kg),
a is the acceleration (1.50 m/s^2).
Substituting in the given values:
F = 10.0 kg * 1.50 m/s^2
F = 15.0 N
Therefore, the force of tension on the rope is 15.0 N.
To find the answer, I used Newton's second law of motion, which is a fundamental principle in physics. The formula F = m * a is derived from this law, where F represents force, m represents mass, and a represents acceleration. By plugging in the known values for mass and acceleration, we can calculate the force of tension on the rope.
T - m g = m a
T = 10.0 (9.81 + 1.50)