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zlopas [31]
3 years ago
15

‏Calculate the kinetic energies of the following objects moving at the given speeds : ( a ) a 91 kg football linebacker running

at 8.9 m / s ; ( b ) a 4,9 g bullet at 807 m / s ; ( C ) Carrier Moritz , 91,400 metric tons at 23 knots . ( 1 metric ton - 1000 kg , 1 knot - 0.514 m / s )
Physics
1 answer:
damaskus [11]3 years ago
5 0

Answer:

Explanation:

KE = ½mv²

a) KE = ½(91)(8.9²) = 3,604.055 = 3.6 kJ

b) KE = ½(0.0049)(807²) = 1,595.56005 = 1.6 kJ

c) KE = ½(91 400 000)(23(0.514))² = 6,387,017,558.8 = 6.4 GJ

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Answer:

A) The ball hits the ground 74.45 m far from the hitting position.

B) Maximum height of the ball = 18.57 m

Explanation:

There are two types of motion in this horizontal and vertical motion.

We have velocity = 27 m/s at 45° above the horizontal

Horizontal velocity = 27cos45 = 19.09 m/s

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Time to reach maximum height,

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           0 = 19.09 - 9.81 t

            t = 1.95 s

So total time of flight = 2 x 1.95 = 3.90 s

A) So the ball travels at 19.09 m/s for 3.90 seconds.

     Horizontal distance traveled = 19.09 x 3.90 = 74.45 m

     So the ball hits the ground 74.45 m far from the hitting position.

B) We have vertical displacement

              S = ut + 0.5 at²

              H = 19.09 x 1.95 - 0.5 x 9.81 x 1.95² = 18.57 m

    Maximum height of the ball = 18.57 m

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