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iVinArrow [24]
3 years ago
5

A ball is rolled off a horizontal tabletop so that it leaves the tabletop and takes 0.35 seconds to reach the ground. The ball l

ands 0.75 meters horizontally from the base of the table.
a. Determine the horizontal velocity of the ball.
b. Determine the height of the table.
Physics
1 answer:
Rzqust [24]3 years ago
4 0

kinematics allows to find the kinetic variables and the relationships between position, speed and acceleration, for launching projectiles we can find:

a)  The horizontal velocity  vₓ = 2.1 m/s

b) The height of the table y₀= 0.60 m

given parameters

  • Time to reach the floor t = 0.35 s
  • Horizontal distance x = 0.75 m

to find

   a. Horizontal speed

   b. table height

Let's use the kinematics relations, let's start by defining a reference frame with the x-axis along the motion of the ball and the vertical y-axis with the positive direction up.

We look for the initial velocity in the x axis, there is no acceleration we can use the uniform kinematic relations

         vₓ = x / t

Where vx is the horizontal velocity, g the acceleration of gravity (g=9.8 m/s²) and t the time

         vₓ = 0.75 / 0.35

         vₓ = 2.14 m / s

We look for the height of the table that corresponds to the initial height (y₀) of the ball, when reaching the floor the height is zero, on the vertical axis the initial velocity is zero (v_{oy} = 0)

        y = y₀ + v_{oy} t - ½ g t²

        0 = y₀ + 0 - ½ g t²

        y₀ = ½ g t²

        y₀ = ½ 9.8 0.35²

        y₀i = 0.60 m

  • In conclusion with the kinematic relations for the launch of projectiles we can find the horizontal velocity vₓ = 2.1 m / s and the height of the table i = 0.60 m

learn more about projectile launch here:

brainly.com/question/12792922

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Explanation:

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           W₁  x/2 + W₂ x₂ - fr y = 0

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             cos 60 = x / L

where L is the length of the ladder

              x = L cos 60

            sin 60 = y / L

           y = L sin60

the horizontal distance of man is

            cos 60 = x2 / 7.0

            x2 = 7 cos 60

we substitute

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let's calculate

         fr = (30 9.8 10 cos 60 2 + 700 7 cos 60) / (10 sin 60)

         fr = (735 + 2450) / 8.66

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         fr = μ N

write the translational equilibrium equation

         N - W₁ -W₂ = 0

         N = m₁ g + W₂

         N = 30 9.8 + 700

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we clear the friction force from the eucacion

        μ = fr / N

        μ = 367.78 / 994

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