An astrophysicist mounts two thin lenses along a single optical axis (the lenses are at right angles to the line connecting them
1 answer:
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Answer: F = 776.18N θ = 29.41°
Question:
The magnitude of the resultant force is to be 200 N, directed along the positive y-axis. Determine the magnitude of the force F Find the angle θ.
Attached is the image.
Explanation:
To solve this question we need to resolve the forces to the x and y axis.
For the x axis;
Fcosθ = 700cos15....1
For the y axis;
200 = Fsinθ - 700sin15
Fsinθ = 200 + 700sin15 ...2
Dividing equation 2 by 1
Fsinθ/Fcosθ = (200 + 700sin15)/700cos15
Tanθ = (200 + 700sin15)/700cos15
θ = Taninverse(200 + 700sin15)/700cos15)
θ = 29.41°
From equation 1;
F = 700cos15/cosθ
F = 700cos15/cos29.41
F = 776.18N
The correct answer to the question is : A) Tossing it horizontally at a faster speed.
EXPLANATION:
Before going to answer this question, first we have to know the horizontal distance covered by any body when it is fired parallel to the ground.
Let us consider a body of mass m is fired with velocity u parallel to the ground. Let it was projected at a height h from the ground.
Hence, the horizontal distance covered by the projectile is calculated as -
Horizontal distance R = .
Here, g is known as the acceleration due to gravity.
From above, we see that more is the initial velocity, the more is the horizontal distance covered by it i.e the more is the widest curved path.
Hence, the correct answer to the question is that tossing a ball horizontally at a faster speed will trace out the widest curved path.