In the ballroom of a historic palace near Paris, a chandelier hangs from the ceiling by a cable. The mass of the chandelier is 390 kg. Find the tension in the cable.
The tension equals the weight. Express it in Newtons.
You desperately want to qualify for the Olympics in the long jump, so you decide to hold the qualifying event on the moon of your choice. You need to jump 7.52 m (and conveniently beat Galina Chistyakova's record) to qualify. The maximum speed at which you can run at any location is 5.90 m/s. What is the magnitude of the maximum rate of freefall acceleration the moon can have for you to achieve your dream?
To find the tension in the cable, we need to 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.
In this case, the chandelier is hanging still, so its acceleration is zero. Therefore, the net force acting on the chandelier is also zero. Since the chandelier only has two forces acting on it (its weight and the tension in the cable), the tension in the cable must be equal to the weight of the chandelier.
The weight of an object can be calculated using the formula:
Weight = mass * acceleration due to gravity.
In this case, the mass of the chandelier is given as 390 kg, and the acceleration due to gravity on Earth is approximately 9.8 m/s^2.
So, the tension in the cable can be found by multiplying the mass of the chandelier by the acceleration due to gravity:
Tension = weight = mass * acceleration due to gravity
Tension = 390 kg * 9.8 m/s^2
Tension = 3822 N
Therefore, the tension in the cable is 3822 Newtons.