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4 years ago

A 1700kg rhino charges at a speed of 50.0km/h. what average force is needed to bring the rhino to a stop in 0.50s?

1 answer:

6 0

From 50km/h to 0km/h in 0.5s we need next acceleration:
First we convert km/h in m/s:
50km/h = 50*1000/3600=13.8888 m/s
a = v/t = 13.88888/0.5 = 27.77777 m/s^2

Now we use Newton's law:

F=m*a

F=1700*27.7777 = 47222N

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A student throws a ball upward with a velocity of 35 m/s. What is the acceleration of the ball as it rises to the top of its arc

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Answer:

The acceleration of the ball as it rises to the top of its arc equals 9.807 meters per square second.

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4 years ago

A shell is fired from the ground with an initial speed of 1.74 ✕ 103 m/s at an initial angle of 58° to the horizontal.

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Answer:

a) horizontal range s=277671.77 m

b) time the shell is in motion 301.143 s

Explanation:

Is a parabolic movement so the velocity have two components:

$v = 1.74 x 10^{3} ( \frac{m}{s} )$

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$v_{y} =v*Sen (\alpha )\\v_{x} =v*Cos (\alpha )$

$v_{y} =1740*Sen (58 )\\v_{x} =1740*Cos (58)$

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$t= \frac{2*v_{y} }{g}$

$t= \frac{2*1475.603 }{9.8}$

$t= 301.143 s$

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$s= 922.059 \frac{m}{s} * 301.143 s$

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4 years ago

A hot air balloon travels 18 kilometers west and then travels 50 kilometers east. What is the current position of the hot air ba

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Answer:

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- Displacement towards east: 50 km

The two vectors are on the same line: this means that we can simply add them together (taking into account the proper direction) to obtain the total displacement.

Taking east as positive direction and west as negative direction, we have:

$d = 50 + (-18) = 50 - 18 = 32 km$

And since it is positive, it means that the final position of the balloon is 32 km east from its initial position.

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