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Cloud [144]
2 years ago
6

Betty (mass 40 kg), standing on slippery ice, catches her leaping dog (mass 15 kg) moving horizontally at 3.0 m/s. Show that the

speed of Betty and her dog after the catch is about 0.8 m/s
Physics
1 answer:
MA_775_DIABLO [31]2 years ago
7 0

Answer:

v = 2.18m/s

Explanation:

In order to calculate the speed of Betty and her dog you take into account the law of momentum conservation. The total momentum before Betty catches her dog must be equal to the total momentum after.

Then you have:

Mv_{1o}+mv_{2o}=(M+m)v        (1)

M: mass Betty = 40kg

m: mass of the dog = 15kg

v1o: initial speed of Betty = 3.0m/s

v2o: initial speed of the dog = 0 m/s

v: speed of both Betty and her dog = ?

You solve the equation (1) for v:

v=\frac{Mv_{1o}+mv_{2o}}{M+m}=\frac{(40kg)(3.0m/s)+(15kg)(0m/s)}{40kg+15kg}\\\\v=2.18m/s

The speed fo both Betty and her dog is 2.18m/s

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How fast is a 180 kg motorcycle traveling if it has 36000 J of kinetic energy??
leva [86]

Answer:

20 ms⁻¹

360 J

Explanation:

Kinetic energy is the energy possessed by a moving object solely due to its motion.

You can get the K.E. of an object using the equation,

K.E. =  (1/2)mv² where all terms in usual meaning

So you get,

K.E. = 36000 =  (1/2)×180×v²

v = 20 ms⁻¹

Also,

K.E. =  (1/2)×80×3² = 360 J

   

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Answer:

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Explanation:

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2 years ago
A roller coaster car is loaded with passengers and has a mass of 500 kg along with a speed of 18 meters/second at the dip. The r
GenaCL600 [577]
The roller coaster is moving in a circular path, so the force that must be computed is the centripetal force. The centripetal force is the force acting on an object undergoing circular motion and is directed towards the center of the circular path. This is computed using:
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F = (500 * 18²) / 12
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Now, at the bottom of the track, the track is also supporting the weight of the car and its passengers, which is:
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The total reactive force exerted by the track to counter the centripetal force and the weight of the car is:
F = 13,500 + 4,905
F = 18,405 Newtons
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