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Julli [10]
2 years ago
8

A ball is thrown up into the air with the initial velocity of 18 m/s. A) How high does the ball go? B) Calculate the time needed

for the ball to reach its max height.
Physics
1 answer:
mr_godi [17]2 years ago
4 0

Answer:

(a) h = 16.53 m (b) t = 1.83 s

Explanation:

Given that,

The initial velocity of a ball, u = 18 m/s

When it reaches to the maximum height, its final velocity v will be 0. Let it goes to a maximum height of h meters.

Finding t using first equation of motion as follows :

v = u +at

Here, a = -g and v = 0

t=\dfrac{u}{g}\\\\t=\dfrac{18}{9.8}\\\\t=1.83\ s

The time needed for the ball to reach its max height is 1.83 s.

Let h is the maximum height. Using second equation of motion to find it :

h=ut-\dfrac{1}{2}gt^2\\\\h=18(1.83)-\dfrac{1}{2}\times 9.8\times (1.83)^2\\\\h=16.53\ m

So, it will go to a maximum height of 16.53 m.

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The answer is given below

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a)

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v_1=(\frac{m_1-m_2}{m_1+m_2})u_1+\frac{2m_2}{m_1+m_2}u_2\\  Substituting:\\v_1=\frac{0.6-0.8}{0.6+0.8} (-5)+\frac{2*0.8}{0.6+0.8}(2)= 5/7+16/7=3\ m/s

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v_2=(\frac{m_2-m_1}{m_1+m_2})u_2+\frac{2m_1}{m_1+m_2}u_1\\  Substituting:\\v_1=\frac{0.8-0.6}{0.6+0.8} (2)+\frac{2*0.6}{0.6+0.8}(-5)= 2/7-30/7=-4\ m/s

b) Using the law of conservation of energy:

\frac{1}{2}m_1u_1+ \frac{1}{2}m_2u_2=\frac{1}{2}m_1v_1+\frac{1}{2}m_2v_2+\frac{1}{2}kx^2\\x=\sqrt{\frac{m_1u_1+m_2u_2-m_1v_1-m_2v_2}{k}}\\ Substituting\ gives:\\x=\sqrt{\frac{0.6*(-5)^2+0.8*2^2-(0.6*3^2)-(0.8*(-4)^2)}{1200}}=\sqrt{0}=0\ cm

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Work of 5 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural length. What is the force (i
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