The weight of the block at rest on a frictionless table is 305 N. This block is attched by a string to another mass that hangs off a frictionless pulley. And the weight of the hanging block is 125 N. Ignoring all frictional effects and assuming the pulley to be massless, find the acceleration of the two blocks. Use g = 10 m/s^2 in all calculations

Question

The weight of the block at rest on a frictionless table is 305 N. This block is attched by a string to another mass that hangs off a frictionless pulley. And the weight of the hanging block is 125 N. Ignoring all frictional effects and assuming the pulley to be massless, find the acceleration of the two blocks. Use g = 10 m/s^2 in all calculations

I do not know what formula to use please help.

Answer 1

F = 125 N

mass = (125+305)/10 = 43 kg
a = F/m = 125/43 = 2.9 m/s^2

Answer 2

Sum of X forces = T = m1a = (30.5kg*a)

Sum of Y forces = 125N - T = m2a = (12.5kg*a)

125N - (30.5kg*a) = (12.5kg*a)
125N = 43kg*2a
2.85m/s^2 = 2a
1.425m/s^2 = a

Answer 3

To solve this problem, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.

First, let's identify the forces acting on the two blocks.

For the block resting on the table:
- Weight (force due to gravity) acting downward = 305 N

For the hanging block:
- Tension in the string acting upward
- Weight (force due to gravity) acting downward = 125 N

Since both blocks are connected by a tension in the string, they will have the same acceleration. Let's assume the acceleration is "a".

Next, let's calculate the net force on each block:

For the block resting on the table:
Net force = Weight (305 N) - Tension
Since the table is frictionless, there is no other force acting on the block, so the net force is equal to the mass of the block multiplied by its acceleration:
305 N - Tension = mass of the block * acceleration

For the hanging block:
Net force = Tension - Weight (125 N)
Since the pulley is frictionless, the tension force is the only force acting on the hanging block. So the net force is equal to the mass of the hanging block multiplied by its acceleration:
Tension - 125 N = mass of the hanging block * acceleration

Now we can solve these two equations simultaneously to find the acceleration of the two blocks.

Let's rewrite the equations using the given weights and acceleration:
305 N - Tension = (mass of the block) * acceleration ---(equation 1)
Tension - 125 N = (mass of the hanging block) * acceleration ---(equation 2)

Now let's substitute the weight values:
305 N - Tension = (mass of the block) * acceleration
Tension - 125 N = (mass of the hanging block) * acceleration

We can solve this system of equations to find the value of acceleration.