Placing object between 2 spherical mirrors

[ilovejava]

Homework Statement

A concave mirror (f1 = 13.6 cm) and a convex mirror (f2 = −7.00 cm) are facing each other and are separated by a distance of 35.8 cm. An object is placed between the mirrors and is 17.9 cm from each mirror. Consider the light from the object that reflects first from the concave mirror and then from the convex mirror. What is the distance of the image (di2) produced by the convex mirror?

Homework Equations

1/d_o + 1/_i = 1/f

The Attempt at a Solution

[/B]
The image created by the concave mirror will act as the object for the convex mirror. Plugging in the values for d_o and f for the concave mirror I got d_i = 56.6cm . Therefore, the d_o for the convex mirror will be 56.6-35.8 (distance mirrors are separated by) = 20.8 . Lastly, I just plugged this value and the focal length of the convex mirror into 1/d_o + 1/_i = 1/f and got -5.24cm as d_i2

 

[kuruman]

Does the image at 56.6 cm appear in front of or behind of the convex mirror? You should draw a ray diagram.

 

[ilovejava]

Does the image at 56.6 cm appear in front of or behind of the convex mirror? You should draw a ray diagram.

I drew one out and it appears that the image forms behind the convex mirror. So this would be a virtual object does that mean I should have made 20.8 negative?

 

[kuruman]

I drew one out and it appears that the image forms behind the convex mirror. So this would be a virtual object does that mean I should have made 20.8 negative?

Yes.