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3 years ago

QUESTION 1

Physics

1 answer:

san4es73 [151]3 years ago

6 0

Answer:

Velocity of the box: 10.67 m/s

Explanation:

Recall that impulse is defined as the force applied times the time the force is in action. Then we can obtained the value of the impulse given to the box as:

Impulse = F * time = 33.3 N * 2.35 s = 78.225 kg m/s

then we use the momentum of the box at that precise time to find its velocity recalling that :

Momentum = mass * velocity

Then

78.225 kg m/s = 7.33 kg * v

v = 78.225/7.33 m/s = 10.67 m/s

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6. Decelerating a plane at a uniform rate of -8 m/s2, a pilot stops the plane in 484 m. How

uysha [10]

Answer: 88 m/s

Explanation:

If we are talking about an acceleration at a uniform rate, we are dealing with constant acceleration, hence we can use the following equation:

${V_{f}}^{2}={V_{o}}^{2}+2ad$ (1)

Where:

$V_{f}=0$ Is the final velocity of the plane (we know it is zero because we are told the pilot stops the plane at a specific distance)

$V_{o}$ Is the initial velocity of the plane

$a=-8m/s^{2}$ is the constant acceleration of the plane

$d=484m$ is the distance at which the plane stops

Isolating $V_{o}$ from (1):

$V_{o}=\sqrt{-2ad}$ (2)

$V_{o}=\sqrt{-2(-8m/s^{2})(484m)}$ (3)

Finally:

$V_{o}=88m/s$ This is the veocity the plane had before braking began

8 0

3 years ago

A 1.2 nf parallel-plate capacitor has an air gap between its plates. Its capacitance increases by 3.0 nf when the gap is filled

Damm [24]

Answer:

2.5

Explanation:

The capacitance of a parallel-plate capacitor filled with dielectric is given by

$C=kC_0$

where

k is the dielectric constant

$C_0$ is the capacitance of the capacitor without dielectric

In this problem,

$C_0=1.2 nF$ is the capacitance of the capacitor in air

$C=3.0 nF$ is the capacitance with the dielectric inserted

Solving the equation for k, we find

$k=\frac{C}{C_0}=\frac{3.0 nF}{1.2 nF}=2.5$

3 0

3 years ago

Read 2 more answers

The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 6.4 m/s and at angle 2.2 degrees above t

Vika [28.1K]

Answer:

v = 8.03 m / s

Explanation:

This is a missile throwing exercise.

y = y₀ + $v_{oy}$ t - ½ g t²

indicates that y = -1.2 m and the initial velocity is

v_{oy} = v₀ sin θ

v_{oy} = 6.4 sin 2.2

v_{oy} = 0.2457 m / s

we substitute in the equation

-1.2 = 0.2457 t - ½ 9.8 t²

4.9 t² - 0.2457 t - 1.2 = 0

t² - 0.05014 t -0.2449 = 0

we solve the quadratic equation

t = [0.05014 ±√ (0.05014² + 4 0.2449)] / 2

t = [0.05014 ± 0.9910] / 2

t₁ = 0.5206 s

t₂ = -0.47 s

time must be a positive magnitude therefore the correct answer is

t = 0.5206 s

with this time we can calculate the vertical speed when the rock hits the ground

v_{y} = v_{oy} - gt

v_{y} = 0.2457 - 9.8 0.5206

v_{y} = -4.856 m / s

the negative sign indicates that the speed is down

horizontal velocity is constant, due to no acceleration

vₓ = v₀ₓ = v₀ cos 2,2

v₀ₓ = 6.4 cos 2.2

v₀ₓ = 6.395 m / s

therefore let's use Pythagoras' theorem to find the velocity

v = √ (vₓ² + $v_{y}^{2}$ )

v = √ (6,395² + 4,856²)

v = 8.03 m / s

the direction can be found with trigonometry

tan θ = v_{y} / vₓ

θ = tan⁻¹ (-4,856 / 6,395)

θ = - 37

the negative sign indicates that it is half clockwise from the x axis

4 0

3 years ago

Select the correct answer. What causes a ray of white light to split into seven colors when passed through a prism? A. refractio

babunello [35]

Answer:

refraction

Explanation:

the answer is refraction

6 0

3 years ago

The junction rule describes the conservation of which quantity? Note that this rule applies only to circuits that are in a stead

denis-greek [22]

Explanation:

The junction rule says that the sum of the currents going into a junction must equal the sum of the currents leaving a junction. This describes the conservation of current.

5 0

3 years ago

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