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Leona [35]
3 years ago
12

A small toy school bus rear-ends a big toy school bus initially at rest. The bigger bus is several times heavier than the smalle

r one. Which of the following statements are true if the collision is elastic?
True / False / Maybe.
1. The two busses continue together at the same speed.
2. Mechanical energy is conserved.
3. The small bus exerts the same amount of force on the big bus as vice versa.
4. Momentum is conserved.
5. The small bus will go backwards.
Physics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

Explanation:

1 . The two busses continue together at the same speed.

FALSE STATEMENT .

The small bus will have twice the velocity of bigger bus  velocity in the same direction . The bigger bus will continue with the same velocity .

2. Mechanical energy is conserved

TRUE STATEMENT.

3  The small bus exerts the same amount of force on the big bus as vice versa.

TRUE STATEMENT.

4.Momentum is conserved

TRUE STATEMENT.

5.The small bus will go backwards

FALSE STATEMENT .

The small bus will have twice the velocity of bigger bus  velocity in the same direction .

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A baseball player leads off the game and hits a long home run. The ball leaves the bat at an angle of 70.0 from the horizontal w
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Answer: 211.059 m

Explanation:

We have the following data:

\theta=70\° The angle at which the ball leaves the bat

V_{o}=55 m/s The initial velocity of the ball

g=-9.8 m/s^{2} The acceleration due gravity

We need to find how far (horizontally) the ball travels in the air: x

Firstly we need to know this velocity has two components:

<u>Horizontally:</u>

V_{ox}=V_{o}cos \theta (1)

V_{ox}=55 m/s cos(70\°)=18.811 m/s (2)

<u>Vertically:</u>

V_{oy}=V_{o}sin \theta (3)

V_{oy}=55 m/s sin(70\°)=51.683 m/s (4)

On the other hand, when we talk about parabolic movement (as in this situation) the ball reaches its maximum height just in the middle of this parabola, when V=0 and the time t is half the time it takes the complete parabolic path.

So, if we use the following equation, we will find t:

V=V_{o}+gt=0 (5)

Isolating t:

t=\frac{-V_{o}}{g} (6)

t=\frac{-55 m/s}{-9.8 m/s^{2}} (7)

t=5.61 s (8)

Now that we have the time it takes to the ball to travel half of is path, we can find the total time T it takes the complete parabolic path, which is twice t:

T=2t=2(5.61 s)=11.22 s (9)

With this result in mind, we can finally calculate how far the ball travels in the air:

x=V_{ox}T (10)

Substituting (2) and (9) in (10):

x=(18.811 m/s)(11.22 s) (11)

Finally:

x=211.059 m

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