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Mkey [24]
3 years ago
14

A dart is thrown horizontally at a target's center that is 5.00 m, away. The dart hits the target 0.150 m below the targets cent

er. What is the initial velocity of the dart?
Physics
1 answer:
boyakko [2]3 years ago
7 0

Answer:

  v₀ₓ = 28.6 m / s

Explanation:

This is a missile throwing exercise

          y = v_{oy} t - ½ g t²

as the dart is thrown horizontally the vertical velocity is zero (I go = 0)

          y = - ½ g t²

          t = \sqrt{- \frac{2y}{g}  }

let's calculate

         t = \sqrt{- \frac{2 \  (-0.150)}{9.8} }

         t = 0.175 s

the expression for horizontal displacement is

         x = v₀ₓ t

         v₀ₓ = x / t

         v₀ₓ = 5.00 / 0.175

         v₀ₓ = 28.6 m / s

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A ball is thrown with a velocity of 40 m/s at an angle of 30° above the horizontal and attains a certain range R. At what other
choli [55]

Answer:

This ball will attain the same range at 60°.

Explanation:

Projectile motion: when an object is thrown in such a way that it form an angle with horizon, the force act on it that is the acceleration due gravity. This type of motion is known as projectile motion.

Range: The horizontal distance is covered by an object.

Range =\frac{u^2 sin2\theta}{g}

u = initial velocity = 40 m/s

θ = 30°

g = gravity =9.8 m/s²

Range=\frac{40^2\times sin(2\times 30^\circ)}{9.8}

         =\frac{800\sqrt{3} }{9.8}

Next,

Range =\frac{800\sqrt{3} }{9.8} and u = 40 m/s

sin2\theta =\frac{Range \times g}{u^2}

\Rightarrow  sin2\theta =\frac{\frac{800\sqrt{3} }{9.8} \times 9.8}{40^2}

\Rightarrow sin 2\theta =\frac{\sqrt{3} }{2}

\Rightarrow sin 2\theta = sin 120^\circ

\Rightarrow \theta =120^\circ

\Rightarrow \theta =60^\circ

This ball will attain the same range at 60°.

3 0
3 years ago
A beaker is filled 60 cm high with this liquid. What is the total pressure at the bottom of the beaker? (1 atm =1.013 x 105 Pa)
Amiraneli [1.4K]

Answer:

Total pressure =1.01*10^5 Pa

Explanation:

given data:

atmospheric pressure = 1.013 *10^5 Pa\

height of water column = 60 cm

Total pressure will be sum of atmospheric pressure and pressure due to water column

P =  Atmospheric pressure + pressure due to water column

pressure due to water =\rho*g*h

\rho of water  = 1420 kg/m^{3}

height of water column = 60 cm =0.60 m

Total pressure =1.013*10^{5}Pa + 1420*9.81*.60

Total pressure  = 109649.6 Pa = 1.10*10^5 Pa

Total pressure =1.01*10^5 Pa

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3 years ago
The diagram shows the electric field around two charged objects.
anyanavicka [17]

Here we have been given two charged body W and X.

We are asked to determine the nature of charge.

Before coming into conclusion, first we have to understand the electric field lines.

The electric field lines are pictorial representation of imaginary lines which are drawn to denote the electric field in a graphical  way.

The electric field line starts from a positive charge and ends at a negative charge.It means for positive charges the electric field lines are outward and for negative charges the filed lines will be inward.

In the given diagram,the filed lines for W is towards W itself.The same is also in case of X.

Hence both the charges must be negative in nature.

Hence the correct answer to the question will be B i.e W negative and X: NEGATIVE.

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Answer:

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