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Sloan [31]
3 years ago
11

A batter hits a pop-up straight up over home plate at an initial velocity of 21 m/s. the ball is caught by the catcher at the sa

me height that it was hit. at what velocity does the ball land in the catcher's mitt? neglect air resistance. (take the positive direction to be upwards.)
Physics
2 answers:
Tamiku [17]3 years ago
8 0
<span>The ball rises, converting the initial Kinetic Energy (KE) into Potential Energy (PE), until it comes to rest at a given height, at which point all of the KE has been converted to PE. At that point, it begins to accelerate back downward, until it reaches the catcher's mitt, at the same KE with which it was initially hit. So overall no change in energy as there is no difference in height so the speed should be same but as positive direction is taken to be upwards and ball is now going down the speed will be -21m/s</span>
pishuonlain [190]3 years ago
4 0

Our intial velocity is -21 m/s

 

The computation for this problem would be:

vf² = vi² + 2ad 

vf = +/- sqrt[vi² + 2ad] 

since d = 0, 

vf = +/- sqrt[vi²] 

vf = +/- vi 

vf = -vi, from the time when the final velocity must be in the opposite direction of the initial velocity, the answer would be:

vf = - 21 m/s

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I think speed is the answer
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3 years ago
If the spring constant is doubled, what value does the period have for a mass on a spring? A. The period would double by square
antoniya [11.8K]

Answer:

The period would decrease by sqrt(2)

Explanation:

The restoring force is given by,

F = -kx

According to Newton's second law of motion,

ma = -kx

ma + kx = 0

The time period is given by,

T =\frac{2\pi }{\omega }

Where \omega is the angular velocity and it is given by,

\omega = \sqrt{\frac{k}{m} }

Now if the spring constant is doubled then,

k_{2} = 2k

Thus,

T_{2} =\frac{2\pi }{\sqrt{\frac{2k}{m} } }

\frac{T_{2} }{T} = \frac{\frac{2\pi }{\sqrt{\frac{2k}{m} } }}{\frac{2\pi }{\sqrt{\frac{k}{m} } }}

\frac{T_{2} }{T} = \sqrt{\frac{k}{2k} } = \sqrt{\frac{1}{2} }

T_{2} = \frac{T}{\sqrt{2} }

Thus, The period would decrease by sqrt(2).

Hence, option D is correct.

3 0
3 years ago
Read 2 more answers
Which force requires contact?
GuDViN [60]

Answer:

I think its D too

Explanation:

3 0
3 years ago
How to do this question?​
Zigmanuir [339]

Answer:

First.

  • Find double diffrenciation of all equation
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3 0
3 years ago
Long Jump: inital center of mass height of 1.08 m, final center of mass height of 0.42 m, projection velocity of 8.7 m/s, projec
sammy [17]

Answer:

1) The maximum jump height is reached at A. 0.337s

2) The maximum center of mass height off of the ground is B. 1.64m

3) The time of flight is C. 0.834s

4) The distance of jump is B. 7.49m

Explanation:

First of all we need to decompose velocity in its rectangular components, so

v_{xi}=8.7m/s(cos 22.3\°)=8.05m/s= constant\\v_{yi}=8.7m/s(sin 22.3\°)=3.3m/s

1) We use, v_{fy}=v_{iy}-gt, as we clear it for t and using the fact that v_{fy}=0 at max height, we obtain t=\frac{v_{iy}}{g} =\frac{3.3m/s}{9,8m/s^{2}} =0.337s

2) We can use the formula y_{max}=y_{i}+v_{iy}t-\frac{gt^{2}}{2} for t=0.337s, so

y_{max}=1.08m+(3.3m/s)(0.337s)-\frac{(9.8m/s^{2})(0.337)^{2}}{2}=1.64m

3) We can use the formula y_{f}=y_{i}+v_{iy}t-\frac{gt^{2}}{2}, to find total time of fligth, so 0.42=1.08+3.3t-\frac{(9.8)t^{2}}{2}\\0=-4.9t^{2}+3.3t+0.66, as it is a second-grade polynomial, we find that its positive root is t=0.834s

4) Finally, we use x=v_{x}t=8.05m/s(0.834s)=6.71m, as it has an additional displacement of 0.77m due the leg extension we obtain,

x=6.71m+0.77m=7.48m, aprox x=7.49m

5 0
3 years ago
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