A large uniform chain is hanging from the ceiling, supporting a block of mass 48kg. The mass of the chain itself is 15 kg, and the length of the chain is 2.6 m.

The acceleration of gravity is 9.81 m/s^2
Find the tension in the chain at the point where the chain is supporting the block.
Answer in units of N

The chain mass is irrelevant to the problem.

Look at the block alone.
Tension T up from the chain
Weight down W = m g
no acceleration so
T = m g
T = 48 * 9.81 Newtons

To find the tension in the chain at the point where it is supporting the block, we'll need to consider the forces acting on the block.

First, we'll calculate the weight of the block (W_block). The weight of an object is given by the formula W = m * g, where m is the mass of the object and g is the acceleration due to gravity.

W_block = mass_block * g
W_block = 48 kg * 9.81 m/s^2
W_block = 470.88 N

Next, we'll calculate the weight of the chain (W_chain). Similarly, the weight of an object is given by the formula W = m * g, where m is the mass of the object and g is the acceleration due to gravity.

W_chain = mass_chain * g
W_chain = 15 kg * 9.81 m/s^2
W_chain = 147.15 N

Now, when the chain is supporting the block, the tension in the chain at that point is equal to the sum of the weight of the block and the weight of the chain.

Tension = W_block + W_chain
Tension = 470.88 N + 147.15 N
Tension = 618.03 N

Therefore, the tension in the chain at the point where it is supporting the block is 618.03 N.

To find the tension in the chain, we can use Newton's second law of motion.

First, let's consider the forces acting on the block. The only force acting downward is the weight of the block, which can be calculated as:

Force of gravity on the block = mass of the block × acceleration due to gravity
= 48 kg × 9.81 m/s^2

Next, let's consider the forces acting on the chain. At the point where the chain is supporting the block, the chain is experiencing the weight of the block pulling it downwards. Therefore, the chain exerts an equal and opposite force upwards, called tension.

Now, let's calculate the force exerted by the block on the chain (tension):

Force exerted by the block on the chain = Force of gravity on the block
= 48 kg × 9.81 m/s^2

Therefore, the tension in the chain at the point where it is supporting the block is equal to the force exerted by the block on the chain.

Calculating the values:

Force of gravity on the block = 48 kg × 9.81 m/s^2
Tension in the chain = 48 kg × 9.81 m/s^2

Now simply multiply these values to find the tension in the chain.