Answer:
f = - 0.143 m = - 14.3 cm
Explanation:
First, we will calculate the power of the combination of lenses:
P = P₁ + P₂
where,
P = Power of Combination = ?
P₁ = Power of first lens = - 5D
P₂ = Power of second lens = - 2D
Therefore,
P = - 5D - 2D
P = - 7D
Now, the focal length can be given as:

<u>f = - 0.143 m = - 14.3 cm</u>
Negative focal length indicates that combination will act as diverging lens.
Answer:
Part a)

Part b)

Explanation:
Part a)
Force on the object due to spring force is given as

here we know that


so we have


Part b)
Acceleration of the object is given as



Well, think about how the tides will be affected when the moon moves farther away. If the moon first started off very close the earth, we would have more tsunamis. (Scientists have found that the moon has possibly been closer to earth long ago.) While it moves away, soon there will no longer be many tides.
Explanation:
It is given that, the water from a fire hose follows a path described by equation :
........(1)
The x component of constant velocity, 
We need to find the resultant velocity at the point (2,3).
Let
and 
Differentiating equation (1) wrt t as,



When x = 2 and 
So,


Resultant velocity, 

v = 6.4 m/s
So, the resultant velocity at point (2,3) is 6.4 m/s. Hence, this is the required solution.