So, if there is a force, that means there is acceleration of an object

This is not always true. The $F$ in $F=ma$ is the net force.

how can you have a force with no work?

When an equal and opposite force opposes it. For example, gravity does no work on an object on a table. Neither do you do (mechanical) work by pushing against a wall.

So, if there is a force, that means there is acceleration of an object

This is not always true. The $F$ in $F=ma$ is the net force.

how can you have a force with no work?

One common case is when an equal and opposite force opposes it. For example, gravity does no work on an object on a table. Neither do you do (mechanical) work by pushing against a wall.

So, if there is a force, that means there is acceleration of an object

This is not true. The $F$ in $F=ma$ is the net force.

how can you have a force with no work?

When an equal and opposite force opposes it. For example, gravity does no work on an object on a table. Neither do you do (mechanical) work by pushing against a wall.

So, if there is a force, that means there is acceleration of an object

This is not always true. The $F$ in $F=ma$ is the net force.

how can you have a force with no work?

When an equal and opposite force opposes it. For example, gravity does no work on an object on a table. Neither do you do (mechanical) work by pushing against a wall.