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Llana [10]
3 years ago
6

In the game of billiards, all the balls have approximately the same mass, about 0.17 kg. In the figure, the cue ball strikes ano

ther ball such that it follows the path shown. The other ball has a speed of 1.5 m/s immediately after the collision. What is the speed (in m/s) of the cue ball after the collision?

Physics
1 answer:
Zigmanuir [339]3 years ago
4 0

Answer:

v = 2.6 m/s  

Explanation:

The question is incomplete because the diagram is not given in the question.

The diagram of this question is attached below.

According to the law of conversation of momentum.

mv(initial) = mv(final)

We can see in the diagram that:

mv(initial) = 3 × 0.17

mv(final) = mv₁(final) + mv₂(final)

Consider only the horizontal components of velocities, to compare them to initial velocity.

mv(final) = mv₁(final) + mv₂(final)

0.17 × 3  = (0.17)(v)(cos 30) + (0.17)(1.5)(cos 60)

0.51 = 0.1472v + 0.1275

0.3825 = 0.1472v

v = 2.6 m/s  

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Match the technology that uses radio waves to the field in which it is used
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A car takes off from rest takes of from rest and covers a distance of 80m on a straight road in 10s.Calculate the magnitude of i
hodyreva [135]
  • Initial velocity (u) = 0 m/s [the car was at rest]
  • Distance (s) = 80 m
  • Time (t) = 10 s
  • Let the magnitude of acceleration be a.
  • By using the equation of motion, s = ut +  \frac{1}{2} a {t}^{2}we get,80 = 0 \times 10 +  \frac{1}{2}  \times a \times  {10}^{2}  \\  =  > 80 =  \frac{1}{2}  \times 100a \\  =  > 80 = 50a \\  =  > a =  \frac{80}{50}  \\  =  > a = 1.6

<u>A</u><u>nswer:</u>

<u>The </u><u>magnitude</u><u> </u><u>of </u><u>its </u><u>acceleration</u><u> </u><u>is </u><u>1</u><u>.</u><u>6</u><u> </u><u>m/</u><u>s^</u><u>2</u><u>.</u>

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4 0
2 years ago
A wrench 0.500 m long is applied to a nut with a force of 80.0 N. Because of the cramped space, the force must be exerted upward
riadik2000 [5.3K]

Answer:

Torque, \tau=34.6\ N.m

Explanation:

It is given that,

Length of the wrench, l = 0.5 m

Force acting on the wrench, F = 80 N

The force is acting upward at an angle of 60.0° with respect to a line from the bolt through the end of the wrench. We need to find the torque is applied to the nut. We know that torque acting on an object is equal to the cross product of force and distance. It is given by :

\tau=Fr\ sin\theta

\tau=80\times 0.5\ sin(60)

\tau=34.6\ N.m

So, the torque is applied to the nut is 34.6 N.m. Hence, this is the required solution.

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3 years ago
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