Ask question

Ask question

All categories

3 years ago

14

At a meeting of physics teacher in Montana, the teachers were asked to calculate where a flour sack would land if dropped from a

moving airplane. The plane would be moving horizontally at a constant speed of 60 m/s at an altitude of 300.

1 answer:

Harlamova29_29 [7]3 years ago

7 0

At a distance of 469.2 m from the original point below the airplane.

Explanation:

First of all, we have to calculate the time it takes for the sack to reach the ground.

To do so, we just analyze its vertical motion, which is a free-fall motion, so we can use the suvat equation:

$s=ut+\frac{1}{2}at^2$

where, taking downward as positive direction:

s = 300 m is the vertical displacement

u = 0 is the initial vertical velocity

t is the time

$a=g=9.8 m/s^2$ is the acceleration of gravity

Solving for t, we find the it takes for the sack to reach the ground:

$t=\sqrt{\frac{2s}{a}}=\sqrt{\frac{2(300)}{9.8}}=7.82 s$

Now we analyze the horizontal motion. The horizontal velocity of the pack is constant (since there are no forces along the horizontal direction) and equal to the initial speed of the airplane, so:

$v_x = 60 m/s$

We also know the total time of flight,

t = 7.82 s

Therefore, we can find the horizontal distance travelled by the sack:

$d=v_x t = (60)(7.82)=469.2 m$

So, the sack will land 469.2 m from the original point below the airplane.

Learn more about free fall and projectile motion:

brainly.com/question/1748290

brainly.com/question/11042118

brainly.com/question/2455974

brainly.com/question/2607086

brainly.com/question/8751410

#LearnwithBrainly

You might be interested in

You are moving into an apartment and take the elevator to the 6th floor. Suppose your weight is 790 N and that of your belonging

aliina [53]

Answer:

a) $W=26600J$

b) $W=-12008J$

Explanation:

Given the information from the exercise we can calculate the work done by the elevator using the following formula:

$W=F*s$

a) Considering you and your belongings as a system we know that the elevator is applying a Normal reaction force of:

$F=790N+960N=1750N$

Since the force applied and the displacement is in the same direction, the work done by the elevator is positive

$W=(1750N)(15.2m)=26600J$

b) The reaction force applied by the elevator is the same as the weight of the person

$F=790N$

Since the force applied and the displacement is in opposite direction, the work done by the elevator is negative

$W=-(790N)(15.2m)=-12008J$

7 0

4 years ago

A uniform disk with radius 0.650 m

VashaNatasha [74]

Answer:

$a = 13.758\,\frac{m}{s^{2}}$

Explanation:

First, the instant associated to the angular displacement is:

$(1.10\,\frac{rad}{s} )\cdot t + (6.30\,\frac{rad}{s^{3}} )\cdot t^{2} - 0.628\,rad = 0$

Roots of the second-order polynomial are:

$t_{1} \approx 0.240\,s, t_{2} \approx -0.415\,s$

Only the first root is physically reasonable.

The angular velocity is obtained by deriving the angular displacement function:

$\omega (0.240\,s) = 1.10\,\frac{rad}{s}+ (12.6\,\frac{rad}{s^{2}})\cdot (0.240\,s)$

$\omega (0.240\,s) = 4.124\,\frac{rad}{s}$

The angular acceleration is obtained by deriving the previous function:

$\alpha (0.240\,s) = 12.6\,\frac{rad}{s^{2}}$

The resultant linear acceleration on the rim of the disk is:

$a_{t} = (0.650\,m)\cdot (12.6\,\frac{rad}{s^{2}} )$

$a_{t} = 8.190\,\frac{m}{s^{2}}$

$a_{n} = (0.650\,m)\cdot (4.124\,\frac{rad}{s} )^{2}$

$a_{n} = 11.055\,\frac{m}{s^{2}}$

$a = \sqrt{a_{t}^{2}+a_{n}^{2}}$

$a = 13.758\,\frac{m}{s^{2}}$

3 0

3 years ago

What is the distance between two consecutive points in phase on a wave called?

balu736 [363]

The distance between two consecutive points in a wave is called the wavelength.

7 0

3 years ago

Read 2 more answers

a swimmer can swim in still water at a speed of 9.50 m/s. he intends to swim directly across the river that has a downstream cur

Doss [256]

Refer to the diagram shown below.

Still-water speed = 9.5 m/s
River speed = 3.75 m/s down stream.

The velocity of the swimmer relative to the bank is the vector sum of his still-water speed and the speed of the river.

The velocity relative to the bank is
V = √(9.5² + 3.75²) = 10.21 m/s

The downstream angle is
θ = tan⁻¹ 3.75/9.5 = 21.5°

Answer: 10.2 m/s at 21.5° downstream.

7 0

3 years ago

Read 2 more answers

Which of the following statements would NOT result in an eclipse? a. The Earth is positioned directly between the Sun and the Mo

vovangra [49]

c. The Moon is positioned directly between the earth and the sun is the statement that does not result in an eclipse.

Explanation:

The Sun is completely blocked in a solar eclipse because the Moon passes between Earth and the Sun.
it is just the right distance away from Earth, the Moon can fully blocks the Sun's light from Earth's perspective

3 0

4 years ago