<span>Assuming pulley is frictionless. Let the tension be ‘T’. See equation below.</span>
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An archer shot a 0.06 kg arrow at a target. The arrow accelerated at 5,000 m/s2 to reach a speed of 50.0 m/s as it left the bow.
1 answer:
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Answer:
Energy needed = 1100 kJ
Explanation:
Energy needed = Change in kinetic energy
Initial velocity = 15 m/s
Mass, m = 1600 kg
Final velocity = 40 m/s
Energy needed = Change in kinetic energy = 1280000-180000 = 1100000J
Energy needed = 1100 kJ
A & B
Observe the path of the light ray as it passes through the lenses as shown in the attached images. Concave lenses diverge light rays while the convex lens converges the light rays.
Explanation:
Real images are formed where the rays converge, a property of images by convex lenses. Convex lenses can be used to magnify objects. If the image occurs before the focal point of the lens then the image will be upright but smaller. The images inverts and gets bigger past the focal point.
Virtual images are property of concave lenses. These images appear closer but smaller than the real object.
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Answer:
(a)
(b) 142
(c)
(d) 96.8 mph
(e) 0.426 s
(f) 0.061 rad
Explanation:
Velocity is a time-derivative of position.
(a)
(b) Since is independent of
, it follows it was constant throughout. Hence, at any point or time, the horizontal velocity is 142.
(c)
(d) When it passes the home plate, the ball has travelled 60.5 ft (from the question). This is horizontal, so it is equivalent to .
.
In this time, the vertical velocity, is
The speed of the ball at thus point is ft/s
To convert this to mph, we multiply the factor 3600/5280
(e) The time has been determined from (d) above.
(f) This angle is given by
(Note here we are considering the acute angle so we ignore the negative sign)
In radians, this is