Physics, 25.12.2019 05:31 rama64

In a local bar, a customer slides an empty beer mug down the counter for a refill. the height of the counter is 1.20 m. the mug slides off the counter and strikes the floor 1.60 m from the base of the counter.

(a) with what velocity did the mug leave the counter?
m/s

(b) what was the direction of the mug's velocity just before it hit the floor?
° (below the horizontal)

Answers: 2

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Answers

Answer from: cupkakekawaii45

Answer

given,

height of counter = 1.20 m

horizontal distance from base = 1.6 m

a) velocity of mug = ?

using equation of motion

$s_y = u t + \dfrac{1}{2}gt^2$

$1.2 = \dfrac{1}{2}\times 9.8 \times t^2$

t^2 = 0.245

t = 0.495 s

speed of the mug

s_x = v x t

1.6 = v x 0.495

v = 3.23 m/s

b) final velocity of mug in y direction

again using equation of motion

v² = u² + 2 a s

v²= 0 + 2 x 9.8 x 1.2

v = √23.52

v_y = 4.85 m/s

now, direction

$\theta = tan^{-1}(\dfrac{v_y}{v_x})$

$\theta = tan^{-1}(\dfrac{4.85}{3.23})$

$\theta =56.34^0$

Answer from: Quest

a cold ice-tea.

pour in room temperature or cold water. cover the pitcher and refrigerate. steep white or green tea for 6 to 8 hours; steep black or oolong tea for 8 to 12 hours.jun 28, 2015

Answer from: Quest

m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| = √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| = √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| = 14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

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In a local bar, a customer slides an empty beer mug down the counter for a refill. the height of the...

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