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Marat540 [252]
4 years ago
14

A ball is dropped off the roof of a tall building. If the ball reaches the ground in 8 seconds, how tall is the building, in met

ers? Round to the nearest whole number (a=9.8 m/s2)
Physics
1 answer:
Ghella [55]4 years ago
5 0

Let <em>b</em> be the height of the building, and <em>y</em> the height of the ball at time <em>t</em>, given by

<em>y</em> = <em>b</em> - 1/2 <em>gt</em>²

where <em>g</em> = 9.8 m/s² is the magnitude of the acceleration due to gravity.

It takes the ball 8 s to reach the ground, at which point <em>y</em> = 0, so that

0 = <em>b</em> - 1/2 (9.8 m/s²) (8 s)²

<em>b</em> = 1/2 (9.8 m/s²) (8 s)²

<em>b</em> = 313.6 m

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An Olympic runner competing in a long-distance event finishes with a time of 2 hours, 45 minutes, and 35 seconds. The event has
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Answer:

Average speed of Olympic runner will be 23.08 km/hr

Explanation:

We have given distance d = 27.3 miles

We know that 1 mile = 1.6 km

So 27.3 mile = =27.3\times 1.6=43.68km

Given time = 2 hour 45 minutes and 35 sec

We know that 1 hour = 60 minutes

So 45 minutes =\frac{45}{60}=0.75hour

We also know that 1 hour = 3600 sec

So 1 sec =\frac{1}{3600}=2.777\times 10^{-4}hour

So total time t ==2+0.75+0.000277=2.750277hour

We know that speed =\frac{distance}{time }=\frac{63.48}{2.750277}=23.08km/hour

6 0
3 years ago
An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E. What is the mag
Daniel [21]

Answer:

Explanation:

The formula for the potential energy of a dipole placed in an electric field is given by

U = - pE Cos θ

where, θ is the angle between dipole moment and the electric field vector.

For θ = 0°,

initial potential energy, Ui = - pE

For θ = 180°,

final potential energy, Uf = - pE Cos 180 = pE

Change in potential energy

ΔU = Uf - Ui

ΔU = pE - (-pE)

ΔU = 2pE

5 0
4 years ago
Name 2 forces acting on an object at rest Only need 1 got gravity
mote1985 [20]

You mean like a box sitting on a table.

One force is the force of gravity, pulling downward on the box.

Now, you know that the forces acting on the box must be balanced, because
if they're not, then the box would be accelerating.  But it's just sitting there, so
there must be some other force, just exactly the right strength and direction to
exactly cancel the force of gravity on the box, so that the net force on it is zero.

The other force is the force of the table pushing upward on the box.  It's called
the "normal force".


7 0
3 years ago
Commercials for a toy bouncy ball advertise that it will bounce to a height that is greater than the
storchak [24]

Answer:

because energy will be lost due to friction, sound, and heat (arguably similar to friction) and ENERGY MUST STAY THE SAME so it is IMPOSSIBLE for the ball to bounce higher than when dropped!

7 0
3 years ago
A 500-W heating coil designed to operate from 110V is made of Nichrome wire 0.500 mm in diameter. (a) Assuming the resistivity o
Cloud [144]

The length of the wire used is 3.162 m

<h3>Resistivity of a material</h3>

The formula for calculating the power is expressed as;

P = V²/R

Determine th resistance

R =  V²/P

Determine the resistance of the heating coil by substituting

R = (110²/500)

R = 12100/500

R = 24.2ohms

Determine the length of the wire

R = ρL/A such that;

L = RA/ρ

Substitute the given parameters

diameter = 0.5 mm = 0.0005m

radius = 0.0005/2 = 0.00025 m

Determine the area

A = πr²

A = π * 0.00025²

A = 1.96*10^-7 m²

Determine the length

L = (24.2 * 1.96*10^-7 / 1.50*10^-6) =

L = 3.162 m

Hence the length of the wire used is 3.162 m

The length of the wire used is 3.162 m

Learn more on resistivity here; brainly.com/question/24858512

#SPJ4

3 0
1 year ago
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