A descending elevator of mass 1,000 kg is uniformly decelerated to rest over a distance of 8 m by a cable in which the tension i
1 answer:
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The horizontal range of the missile is b) 176 m
Explanation:
The motion of the missile is a projectile motion, so it consists of two independent motions:
- A uniform motion with constant velocity along the horizontal direction
- A uniformly accelerated motion with constant acceleration (equal to the acceleration of gravity) in the vertical-downward direction
To find the time of flight of the missile, we study the vertical motion. We can use the following suvat equation:
where:
s = 75 m is the vertical displacement of the missile (the height of the building)
is the initial vertical velocity (the missile is thrown horizontally)
t is the time of flight
is the acceleration of gravity
Solving for t, we find the time of flight:
This means that the missile takes 3.91 s to reach the ground.
Now we study the horizontal motion: the missile moves with a constant horizontal velocity of
Therefore, the distance covered in a time t is
and by substituting t = 3.91 s, we find the horizontal range of the missile:
Learn more about projectile motion:
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Answer:
h = 10 cm
Explanation:
The magnification produced by a mirror is given by :
h' is the image size and h is the object size
We have, h = 10 cm, m = +1
So,
So, the size off the object is same as that of the size of the image i.e. 10 cm.