A concave (convergent) mirror has a focus of 3.4 cm. A tree that is 0.5cm tall is situated 4.5 cm away from the mirror. Calculat
1 answer:
The image position is 13.9 cm from the mirror
Explanation:
To solve this problem, we can use the mirror equation:
where
f is the focal length
p is the distance of the object from the mirror
q is the distance of the image from the mirror
In this problem, we have:
f = 3.4 cm is the focal length of the mirror (positive for a concave mirror)
p = 4.5 cm is the position of the object (the tree)
Solving the equation for q, we find the position of the image:
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Answer:
a) Fg = -27.4 N
b) Fnet = 5.2 N
c) a = 1.9 m/s2
Explanation:
a)
- There are two forces acting on the ball, one directed upward (assuming this direction as positive, along the y-axis) which is the tension on the string (lifting force), and another aimed downward, which is the attractive force due to gravity.
- Applying the Newton's Universal Law of Gravitation to a mass close to the surface of the Earth (in this case the ball), we can take the acceleration due to gravity like a constant, that we call by convention g, equal to -9.8 m/s2.
- So, we can write the following expression for Fg:
b)
- The net force on the ball, will be just the difference between the lifting force (32.6 N) and the force due to gravity, Fg:
c)
- According Newton's 2nd Law, the acceleration caused by a net force on a point mass (we can take the ball as one) is given by the following expression: