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gregori [183]
3 years ago
15

A ball with an initial velocity of 5 m/s rolls off a horizontal table with a height of 1.0

Physics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

Approximately 0.45\; \rm s, assuming that air resistance is negligible and that g = 9.81\; \rm m\cdot s^{-2}.

Explanation:

The ball starts to fall the moment it rolls of the edge of the table.

  • Let h_{0} denote the initially height of this ball.
  • Let v_{0} denote the initial vertical velocity of this ball.

Assume that gravity is the only force acting on the ball during its fall (that is, there's no air resistance to slow the ball down.) The vertical acceleration of this ball during the fall would be constantly equal to (-g) (negative because the ball is accelerating downwards.)

The following SUVAT equation would give the height h of this ball at time t:

\displaystyle h = \frac{1}{2}\, (-g)\cdot t^{2} + v_{0} \cdot t + h_{0}.

Since the table is horizontal, the vertical velocity of this ball would be 0 the moment it rolls of the edge. In other words: v_{0} = 0\; \rm m\cdot s^{-1}.

The initial height of this ball when it rolls of the table is h_{0} = 1.0\; \rm m, same as the height of the table.

Hence, the height h of this ball at time t would be:

\begin{aligned}h &= \frac{1}{2}\, (-g)\cdot t^{2} + v_{0} \cdot t + h_{0} \\ &= \frac{1}{2}\, (-g) \cdot t^{2} + h_{0}\end{aligned}.

At t = 0\; \rm s, the height of this ball would be 1.0\; \rm m. The ball would be on the ground by the time h = 0\; \rm m, Set the right-hand side of this equation to 0 and solve for the time t at which the ball is on the ground:

\displaystyle \frac{1}{2}\, (-g) \cdot t^{2} + h_{0} = 0.

\displaystyle \frac{1}{2}\, (-g) \cdot t^{2} = - h_{0}.

\displaystyle t = \sqrt{\frac{2\, h_{0}}{g}}.

Substitute in the values h_{0} = 1.0\; \rm m and g = 9.81\; \rm m\cdot s^{-2}:

\begin{aligned} t &= \sqrt{\frac{2\, h_{0}}{g}} \\ &= \sqrt{\frac{1.0\; \rm m}{9.81\; \rm m\cdot s^{-2}}} \\ &\approx0.45\; \rm s\end{aligned}.

In other words, the ball would be in the air for approximately 0.45\; \rm s. (The initial horizontal velocity of this ball does not affect the duration of this fall.)

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The average distance from earth to the sun is 150 megameters. what is that distance in meters?
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John’s mass is 95.6 kg, and Barbara’s is 55.3 kg. He is standing on the x axis at xJ = +10.9 m, while she is standing on the x a
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Answer:Shifted towards Left by distance of 2.243 m

Explanation:

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Mass of john m_1=95.6 kg

Mass of barbara m_2=55.3 kg

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Barbara is standing at x=2.50 m

x_{com}=\frac{m_1x_1+m_2x_2}{m_1+m_2}

x_{com}=\frac{95.6\times 10.9+55.3\times 2.5}{95.6+55.3}

x_{com}=\frac{1180.29}{150.9}

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Now if they change their Position then

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x'_{com}=5.578

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8 0
3 years ago
The magnitude of the electric field between two parallel charged plates is 200. An electron moves to the negative plate 5. 0 cm
Mama L [17]

The potential difference between the two ends of the circuit is the electric potential difference. The electric potential difference and the work will be 10V and 1.6 x 10^-18 J respectively.

<h3>What is an electric field?</h3>

An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.

The given data in the problem is given by;

E is the electric field = (200 N/C)

d is the distance = 5.0 cm.=0.05 m

Q is the charge of electrons= 1.602 x 10^-19 C

The formula for electric potential  is given by;

\rm V=Ed

\rm V=Ed \\\\ \rm V=200 \times 0.05 \\\\ \rm V=  10 \frac{Nm}{C} = 10 \frac{J}{C}  = 10 V.

The work is defined as the product of the potential difference and charge of an electron.

\rm W= 10 \times  1.602 x 10^{-19} \\\\\ \rm W=  1.6 x 10^{-18 }J

Hence the electric potential difference and the work will be 10V and 1.6 x 10^-18 J respectively.

To learn more about the electric field refer to the link;

brainly.com/question/15071884

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