A crate with a mass of (111.5) kg is lifted by a crane. If the crate is accelerating upward at (2.7) m/s2, what is the tension in the cable? Give your answer in newtons (N) and with 3 significant figures.
the net force is ...
f = m a ... f = 111.5 * 2.7
net force is tension minus gravity
t = 111.5 (9.8 + 2.7)
Well, well, well, looks like we have a case of a brawny crate being hoisted by a mighty crane. Let's crunch the numbers and find out the tension in that cable!
Now, we know that the crate has a mass of 111.5 kg and is being accelerated upward at a rate of 2.7 m/s². So, what do we do? We summon the laws of physics to the rescue!
Newton's second law tells us that the net force acting on an object is equal to its mass multiplied by its acceleration: F = m * a. In this case, we're interested in the tension in the cable, so that's our net force.
Let's plug in the values: F = (111.5 kg) * (2.7 m/s²).
Doing the math, we get F = 301.05 N.
So, the tension in the cable, my friend, is approximately 301.05 N. Don't mess with that crane, it's got a mighty grip!
To find the tension in the cable, we can use Newton's second law:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
Plugging in the given values:
m = 111.5 kg
a = 2.7 m/s^2
F = 111.5 kg * 2.7 m/s^2
F ≈ 300.105 N
Rounding to 3 significant figures, the tension in the cable is approximately 300 N.
To find the tension in the cable, 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 formula we can use is:
Force (Tension) = mass × acceleration
Given:
Mass (m) = 111.5 kg
Acceleration (a) = 2.7 m/s^2
Let's substitute the values into the formula:
Force (Tension) = 111.5 kg × 2.7 m/s^2
Calculating this:
Force (Tension) = 300.45 N
Therefore, the tension in the cable is approximately 300.45 N, giving the answer in newtons (N) with 3 significant figures.