A 10kg block on a table conected to a 78kg mass (find acceleration)

In summary, the acceleration of the 10kg block (A) will be the same as the acceleration of the 78-kg mass (B) in the y direction. Using the equations T=m(A)a and T-m(B)g=-m(B)a, we can substitute in T and solve for a. The correct answer is a= (m(B)g) / (m(B)+m(A)).
  • #1
Zsmitty3
46
3
1.A 10 kg block (A) on a table is connected by a string to a 78-kg mass (B), which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10kg black when the other block is released?


2.So the acceleration of the block (A) is going to be the same as the acceleration of the Mass (B) in the y direction? Where the block =A and the Mass =B



3. block x: T=m(A)a
Mass y: T-m(B)g= -m(B)a
Substitute in T in the Mass y equation: ma-mg=-ma
Therefore: a= (m(B)g) / (m(B)-m(A))
(7.8*9.8)/(78+10)=8.7? Seems a little quick to be right?
 
Last edited by a moderator:
Physics news on Phys.org
  • #2


Zsmitty3 said:
1.A 10 kg block (A) on a table is connected by a string to a 78-kg mass (B), which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10kg black when the other block is released?


2.So the acceleration of the block (A) is going to be the same as the acceleration of the Mass (B) in the y direction? Where the block =A and the Mass =B



3. block x: T=m(A)a
Mass y: T-m(B)g= -m(B)a

Correct so far.

Zsmitty3 said:
Substitute in T in the Mass y equation: ma-mg=-ma?
Therefore: a= (m(B)g) / (m(B)-m(A))

That is wrong. Check.

ehild
 

1. What is the mass of the block on the table?

The mass of the block on the table is 10kg.

2. What is the mass of the connected 78kg mass?

The connected 78kg mass has a mass of 78kg.

3. What is the total mass of the system?

The total mass of the system is 10kg + 78kg = 88kg.

4. What is the acceleration of the 10kg block?

The acceleration of the 10kg block is dependent on the net force acting on the system and the mass of the system. It can be calculated using the formula a = F/m, where F is the net force and m is the mass. More information is needed to accurately determine the acceleration.

5. How can the acceleration of the system be determined?

The acceleration of the system can be determined using Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. It can be calculated using the formula a = F/m, where F is the net force and m is the mass of the system.

Similar threads

  • Introductory Physics Homework Help
Replies
13
Views
967
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
23
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
898
  • Introductory Physics Homework Help
Replies
23
Views
2K
  • Introductory Physics Homework Help
Replies
13
Views
537
  • Introductory Physics Homework Help
Replies
3
Views
3K
Back
Top