An object is 30.0 cm to the left of a convex lens with a focal length of +8.0 cm. Draw a ray diagram of the setup showing the location of the image. Calculate the distance of the image from the lens. Is the image upright or inverted?
Answers
I used the Lens Equation:
Where:
obj. is the distance of the object
im. is the distance of the image
f is the focal length
Final answer:
The image formed by the convex lens is real, located 10.91 cm to the right of the lens, and is inverted. The ray diagram would show rays from the object converging at the image point after passing through the lens.
Explanation:
In order to draw a ray diagram and find the location of the image for an object placed 30.0 cm to the left of a convex lens with a focal length of +8.0 cm, we first utilize what is known as the lens formula, which is 1/f = 1/do + 1/di. Here, f is the focal length of the lens, do is the object distance, and di is the image distance.
In the given question, the object distance (do) is -30 cm (the negative sign indicates that the object is on the same side of the lens as the light source), and the focal length (f) is +8 cm. Plugging these values into the lens equation, we find that 1/di = 1/f - 1/do = 1/8 - 1/(-30). Solving this, we get di = 10.91 cm.
This positive value for di means the image is real, meaning it can be projected onto a screen, and appears on the opposite side of the lens from where the object is. The magnitude of the image distance indicates the image is 10.91 cm from the lens.
To determine the orientation of the image, we use the magnification formula, m = -di/do. Substituting the given values into this formula, we get m = -10.91 / -30 = +0.36. Since this value is positive, the image is inverted. The image would appear smaller than the object because the absolute value of the magnification is less than 1.
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Answers
The object of mass with 6.3 Kg will have an acceleration of 1.12 m/s² if a force of 7.1 Newtons is applied.
What is force?
Force is an external agent acting on a body to change its motion or to deform it. There are various kinds of forces such as gravitational force, magnetic force, nuclear force etc.
Acceleration is a physical quantity that measures the rate of change in velocity of a body. Like force, it is a vector quantity. As per Newton's second law of motion, force is the product of mass and acceleration.
Hence, F = m a
given that, m = 6.3 Kg
F = 7.1 N.
then a = F/m
a = 7.1 N/6.3 kg
= 1.12 m/s²
Therefore, the acceleration of the object is 1.12 m/s².
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Answer:
F=ma
7.1=6.3×m
7.1÷6.3=m
m=1.126 kg
Answers
For this case, the first thing you should do is take into account the definition of normal force.
By definition, we have:
- The normal force is that which is exerted on an object that is perpendicular to the surface.
If we define the coordinate system as:
- Horizontal axis points to the right
- Vertical axis points up
Then An object resting on a wall can have normal force in a horizontal direction.
Answer:
The normal force is perpendicular to the surface. The direction can be horizontal. Example: an object on a wall.