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zmey [24]
3 years ago
13

With what speed must a ball be thrown vertically up in order to rise to a maximum height of 45m? And for how long will it be in

air?
Physics
1 answer:
Leno4ka [110]3 years ago
4 0

1) 29.7 m/s

We can solve the first part of the problem by using the law of conservation of energy. In fact, the initial kinetic energy when the ball is thrown from the ground will be entirely converted into gravitational potential energy as the ball reaches its maximum heigth, so we can write:

\frac{1}{2}mv^2 = mgh

where

m is the mass of the ball

v is the initial speed

g is the acceleration of gravity

h is the maximum height

Re-arranging the equation:

v=\sqrt{2gh}

and substituting:

g = 9.8 m/s^2

h = 45 m

We find

v=\sqrt{2(9.8)(45)}=29.7 m/s

2) 6.0 s

First of all, we can calculate how long the ball takes to reach the maximum height. This can be done by using the equation:

v=u+at

where

v = 0 is the final speed of the ball, when it is at its maximum height

u = 29.7 m/s is the initial speed

a = -g = -9.8 m/s^2 is the acceleration of gravity (negative because it is downward)

t is the time

Solving for t,

t= \frac{v-u}{a}=\frac{0-29.7}{-9.8}=3.0 s

So the ball takes 3.0 s to reach the maximum heigth. The time it takes to fall down again is equal, so also 3.0 s, so the total time of the motion is

t = 3.0 + 3.0 = 6.0 s

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Jerome solves a problem using the law of conservation of momentum. What should Jerome always keep constant for each object after
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Jerome solves a problem using the law of conservation of momentum. What should Jerome always keep constant for each object after the objects collide and bounce apart?

a-velocity

b-mass

c-momentum

d-direction

Answer:

b. Mass

Explanation:

This question has to do with the principle of the law of conservation of momentum which states that the momentum of a system remains constant if no external force is acting on it.

As the question states, two objects collide with each other and eventually bounce apart, so their momentum may not be conserved but the mass of the objects is constant for each non-relativistic motion. Because of this, the mass of each object prior to the collision would be the same as the mass after the collision.

Therefore, the correct answer is B. Mass.

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3 years ago
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Typical Pressurized Water Reactors can produce 1100 to 1500
lozanna [386]

Answer: about 1,100,000,000 to 1,500,000,000 Joules/second

Explanation:

1 MW (megawatt) = 1,000,000.00 J/s (joules per second)

1100(1,000,000) = 1,100,000,000

1500(1,000,000) = 1,500,000,000

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Ice skaters often end their performances with spin turns, where they spin very fast about their center of mass with their arms f
vampirchik [111]

Answer:

\large \boxed{\text{30 rev/s}}

Explanation:

This question is based on the Law of Conservation of Angular Momentum.

Angular momentum (L) equals the moment of inertia (I) times the angular speed (ω).

L = Iω

If momentum is conserved,

I₁ω₁ = I₂ω₂

Data:

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ω₁ = 6.0    rev·s⁻¹

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Calculation:

\begin{array}{rcl}I_{1}\omega_{1} &= &I_{2}\omega_{2}\\\text{3.5 kg$\cdot$m$^{2}$}\times \text{6.0 rev/s} &= &\text{0.70 kg$\cdot$m$^{2}$}\times\omega_{2}\\\text{21 rev/s} &= &0.70\omega_{2}\\\omega_{2} & = & \dfrac{\text{21 rev/s}}{0.70}\\\\&=&\textbf{30 rev/s}\\\end{array}\\\text{The skater's final rotational speed is $\large \boxed{\textbf{30 rev/s}}$}

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3 years ago
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