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Anastaziya [24]
3 years ago
10

A student is “accidentally" pushed by Mr. M from the top of NHS. The roof of NHS to the ground (by the

Physics
1 answer:
Musya8 [376]3 years ago
7 0

Answer:

9.6 m/s^2 downward

Explanation:

The motion of the student is a uniformly accelerated motion, so we can use the suvat equation

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

where, taking downward as positive direction, we have

s = 15.6 m is the vertical displacement

u = 0 is the initial velocity (we assume the student starts from rest)

t = 1.80 s is the time of the fall

a is the acceleration of the student

By re-arranging the equation and solving for a, we can find the acceleration of the student:

a=\frac{2s}{t^2}=\frac{2(15.6)}{1.80^2}=9.6 m/s^2

And since the sign is positive, the direction of the acceleration is downward.

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A street light is at the top of a 19 foot tall pole. A woman 5.25 feet tall walks towards the pole with a speed of 7ft/sec along
bezimeni [28]
Answer:

The tip of her shadow is moving at the speed of 9.66 ft/sec

Explanation:

The height of the street light = 19 feet

The height of the woman = 5.25 feet

Distance between the woman and the base of the pole, x = 35 ft

The speed of the woman towards the pole, dx/dt = 7ft/sec

The distance from the base of the streetlight to the tip of the woman's shadow = y

The distance from the woman to the tip of her shadow = y - x

The diagram illustrating this description is shown below

Using similar triangle:

\begin{gathered} \frac{19}{5.25}=\text{ }\frac{y}{y-x} \\ 19(y-x)\text{ = 5.25y} \\ 19y-19x\text{ = 5.25y} \\ 19y-5.25y\text{ = 19x} \\ 13.75y\text{ = 19x} \\ y\text{ = }\frac{19}{13.75}x \\ y\text{ = }1.38x \end{gathered}

Find the derivative of both sides with respect to time, t

\begin{gathered} \frac{dy}{dt}=\text{ 1.38}\frac{dx}{dt} \\ \frac{dy}{dt}=\text{ 1.38(7)} \\ \frac{dy}{dt}\text{ = }9.66\text{ ft/sec} \end{gathered}

The tip of her shadow is moving at the speed of 9.66 ft/sec

7 0
1 year ago
An object moves with a positive acceleration. Could the object be moving with increasing speed, decreasing speed or constant spe
Masja [62]

Answer:

Increasing speed.

Explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

Acceleration (a) = \frac{final \; velocity  -  initial \; velocity}{time}

In this scenario, an object moves with a positive acceleration. Thus, the object is moving with an increasing speed and as such it has acceleration in the same direction as its velocity with respect to time.

3 0
3 years ago
. A driver travels 4.25 km. in two minutes. If the driver’s initial velocity is 20m/s, what is the acceleration?
Novosadov [1.4K]

Answer:

32.9166667 m / s^2

Explanation:

s = 4.25km (1000m / 1km)

= 4250m

u = 20m/s

delta T = 20min (60sec / 1min)

= 1200s

Use formula s = ut + (1/2)at^2

4250m = 20m/s * 1200s + (1/2)a*1200s^2

Rearrange it to find a

a = (s-ut)  / (1/2 * t^2)

a = (4250m - 20m/s*1200s) / (1/2 * 1200s^2)

a = -32.9166667 m / s^2

4 0
3 years ago
What’s the difference between mechanical and chemical weathering
vampirchik [111]

Answer:

Mechanical weathering is the physical breakdown of rock into smaller pieces. Chemical weathering is the breakdown of rock by chemical processes.

Explanation:

Mechanical weathering (also called physical weathering) breaks rock into smaller pieces. These smaller pieces are just like the bigger rock, just smaller. That means the rock has changed physically without changing its composition. The smaller pieces have the same minerals, in just the same proportions as the original rock.

Chemical weathering is the other important type of weathering. Chemical weathering is different from mechanical weathering because the rock changes, not just in size of pieces, but in composition Chemical weathering works through chemical reactions that cause changes in the minerals.

5 0
3 years ago
Calculate the kinetic energy of a 40 kg rock if the rock rolls down the hill with a velocity of 8 m/s.
ella [17]

Answer:

1280 J

Explanation:

see pic

7 0
3 years ago
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