Answer:
25 cm
Explanation:
Since, in the question it is given that the final image after reflection through the convex lens and then the reflection by the plane mirror is formed at the pinhole itself.
This means that the pinhole must be at the focus of the convex lens, such that the lens makes the ray perpendicular to the mirror and hence focal length of the lens = 25 cm.
From a to b speed is 600+40 = 640
from b to a speed is 600-40 = 560
let t be the number of hours of flight. This would mean it would have traveled a distance of 640 miles and the distance yet to travel is 2400-640t
Time left will be (2400-640t)/640. But if they were to return to a it would fly 640t miles at 560mph which will take (640t/560) hrs
(2400-640t) / 640 = 640t / 560
560(2400 - 640t) = 640t x 640
t = 1.75hrs
Answer:
(a) 83.73 rad/s
(b) 251.2 m/s
(c) 3505.4 rad/s^2
(d) 5024 m
Explanation:
R = 50 cm = 0.5 m, f = 800 rpm = 800 / 60 rps
(a) Angular velocity, w = 2 x 3.14 x f = 2 x 3.14 x 800 / 60 = 83.73 rad / s
(b) The relation between linear speed and the angular speed is
V = r w
Here, r = 30 cm = 0.3 m
V = 0.3 x 83.73 = 25.12 m/s
(c) Radial acceleration = R w^2 = 0.5 x 83.73 x 83.73 = 3505.4 rad/s^2
(d) Time period T = 2 x 3.14 / w
T = 2 x 3.14 / 83.73 = 0.075 sec
In 0.075 second, angle turn = 360 degree
In 120 second, the angle turn = 360 x 120 / 0.075 = 576000 degree
In 360 degree, the distance traveled = 2 x pi x R
In 576000 degree, the distance traveled = 2 x 3.14 x 0.5 x 576000 / 360
= 5024 m
When marble is flicked off the edge of a table then the at the instant it will move off the table the velocity is horizontal while due to force of gravitation the marble will start accelerating downwards.
So here we will say that the velocity of marble will remain constant through out the motion in X direction as there is no force in that direction
While in Y direction the marble will have gravitational force due to which marble will accelerate downwards
So the path of the marble will be parabolic path
hence the correct answer will be
<em>A.
</em>
<em>Only one continuous force is acting on the marble.</em>
Answer:
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