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katrin [286]
3 years ago
7

From the top of a cliff, a person uses a slingshot to fire a pebble straight downward, which is the negative direction. The init

ial speed of the pebble is 6.33 m/s. (a) What is the acceleration (magnitude and direction) of the pebble during the downward motion
Physics
1 answer:
Talja [164]3 years ago
8 0

Answer:

\vec{a} = -(9.8~{\rm m/s^2})\^y

Explanation:

Regardless of the initial velocity of the pebble, the acceleration of the pebble is equal to the gravitational acceleration which is equal to 9.8 m/s2 towards downwards direction.

This can be shown by Newton's Second Law. According to the law, the net force applied on an object is equal to mass times acceleration of that object.

During the downward motion, the only force acting on the pebble is the gravitational force, hence its acceleration is equal to gravitational acceleration.

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Calculate the value of two equal charges if they repel one another with a force of 10 N having 10 m distance apart in a vacuum.
MAVERICK [17]

Explanation:

a) From Coulombs law,

F = (kq1q2)/r²...............1

F = 10 N

r = 10m

k = 9 × 10^9 m/F

q1 = q2

from equation 1, make q the subject

q = (Fr²)/2k

q = (10×10²)/(2×9×10^9)

q = 1000/1.8×10^10

q = 5.556×10^-8 C

b) K = k/ko

k = Kko = 10times permittivity of free-space

Goodluck

4 0
3 years ago
True/False: The core, mantle, and crust explanation for the Earth's layers is outdated and now we use the 5 layer explanation. *
nekit [7.7K]

Answer:

False

Explanation:

We still use the old way. It's easier to understand the old way, and its NOT outdated.

3 0
3 years ago
A water tank is in the shape of an inverted cone with depth 10 meters, and top radius 8 meters. Water is flowing into the tank a
Elis [28]

Answer:

The value of leaking rate in the question is repeated. By searching on the web I could find the correct value wich is 0.002h^2 m^3 /min.

The depth of the water has to be equal to 7.07 m in order to have a stationary volume.

Explanation:

In order to have a stationary water level the flow of water that comes into the tank (0.1 m^3/min) must be equal to the flow of water that goes out of the tank (0.002*h^2 m^3/min), therefore:

0.002*h^2 = 0.1

h^2 = 0.1/0.002

h^2 = 50

h = sqrt(50) = 7.07 m

7 0
3 years ago
The world’s largest wind turbine has blades that are 80 m long and makes 1 revolution every 5.7 seconds. What is the velocity fo
klemol [59]

Answer:

The free end of the blade has a tangential velocity of about 88.19 m/s

Explanation:

The angular velocity of the blades is  2 \pi /5.7\,\,rad/sec

since the blades are 80 m long, then the tangential velocity of the free end of the blade is:

v_{tan} \approx 88.19\,\,m/s

3 0
3 years ago
PLEASE HELP!!!
anastassius [24]
Answer: 0 km/h

Explanation:
As a vector, the plane's velocity is 100 km/h (west) - 100 km/h (east)  = 0 km/m.
To an observer on the ground, the plane will be standing still.
7 0
3 years ago
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