How Is Acceleration Calculated for a Block on a Frictionless Surface?

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In summary, a block of mass 6.7 kg is pulled along a horizontal frictionless floor by a cord with a force of 56.0 N at an angle 27.9o above the horizontal. The magnitude of the acceleration of the block can be found by using F=ma, which results in a horizontal acceleration of 8.63m/s^2. The y acceleration is zero.
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Homework Statement

A block of mass 6.7 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of 56.0 N at an angle 27.9o above the horizontal. What is the magnitude of the acceleration of the block?

Homework Equations

f=ma



The Attempt at a Solution

i split my x and y coordinates and got x and y accelerations then used c^2=a^2+b^2 to find the magnitude of the acceleration and got 8.63m/s^2 but iam getting it wrong, please help thanks
 
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  • #2
You only needed to find the x component of force and use F=ma to get the acceleration in the horizontal direction. The horizontal acceleration is the acceleration you're looking for.
 
  • #3
Show how you wrote your net forces along x and y.
Is it possible to have acceleration along y?
 
  • #4
oh ic now the acceleration in the y direction is zero. ok thanks!
 
  • #5


I would suggest checking your calculations to make sure they are correct. It is also important to consider the forces acting on the block, including the force of gravity and the normal force from the floor. These may affect the acceleration of the block. Additionally, if the block is being pulled along a frictionless surface, the acceleration should be constant. I recommend double-checking your work and using all relevant equations, such as Newton's second law (F=ma) and the equations for finding components of a vector.
 

1. What is the definition of "block pulled along floor"?

The term "block pulled along floor" refers to a physics problem in which a block of mass is attached to a string or rope and pulled along a horizontal surface, typically with a constant force.

2. What forces are acting on the block when it is being pulled along the floor?

When a block is being pulled along the floor, there are two main forces acting on it: the force of tension in the string or rope pulling the block and the force of friction between the block and the floor.

3. How does the mass of the block affect its motion when pulled along the floor?

The mass of the block affects its motion when pulled along the floor by influencing its acceleration. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Therefore, a heavier block will require a larger force to accelerate it at the same rate as a lighter block.

4. What factors can affect the amount of friction between the block and the floor?

The amount of friction between the block and the floor can be affected by several factors, including the roughness of the surfaces in contact, the weight of the block, and the type of surface the block is being pulled on (e.g. carpet vs. concrete).

5. How can the acceleration of the block be calculated in a "block pulled along floor" problem?

The acceleration of the block can be calculated using 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 a "block pulled along floor" problem, the net force can be determined by subtracting the force of friction from the force of tension. The resulting net force can then be divided by the mass of the block to find its acceleration.

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