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Afina-wow [57]
3 years ago
9

According to legend, Galileo dropped two balls from the Tower of Pisa to see which would fall

Physics
1 answer:
Zanzabum3 years ago
7 0

Answer: 4.9 N

Explanation:

Weight W is the force that gravity exerts on matter and changes depending on where the body is located. This means, the weight of an object on Earth will not be the same as the weight of the same object on the Moon or on Mars.

Well, in the case of Galileo, he performed his experiment on Earth. Hence, the acceleration due gravity is g=9.8 m/s^{2}.

In addition, weight is mathematically expressed as:

W=m.g

Where m=5 kg is the mass of the ball

Solving the equation:

W=(5 kg)(9.8 m/s^{2})

W=4.9 N This is the weight of the ball

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A commercial jet liner takes off with an average acceleration of 3 g. How long does it take to reach the end of its runway which
ANEK [815]

Answer:

The time taken for the commercial Jet liner to reach the end of its runway is 10.18 s.

Explanation:

Given;

average acceleration of the commercial Jet liner, a = 3g = 3 x 9.8 m/s² = 29.4 m/s²

distance traveled by the commercial Jet liner, s = 1542 m

The time taken for the commercial Jet liner to reach the end of its runway is calculated as follows;

s = ut + ¹/₂at²

where;

u is the initial velocity of the commercial Jet liner = 0

s = 0 + ¹/₂at²

s = ¹/₂at²

2s = at²

t = \sqrt{\frac{2s}{a} } \\\\t = \sqrt{\frac{2 \times 1524}{29.4} } \\\\t = 10.18 \ s

Therefore, the time taken for the commercial Jet liner to reach the end of its runway is 10.18 s.

6 0
3 years ago
What is a law which states energy cannot be created of destroyed only transferred
dlinn [17]

Answer:

The law of conservation of energy

Explanation:

6 0
3 years ago
Read 2 more answers
How high does a rocket have to go above Earth's surface before its weight is half of what it is on Earth?
Contact [7]

Answer:

h=1.6\times 10^6\ m

Explanation:

As we know that the acceleration due to gravity decreases with height.

At certain height it will get to the half of its value on the surface of the earth.

As we know that the weight on the surface of the earth is given as:

w=m.g

where:

m = mass of the object

g = acceleration due to gravity of the substance

Since mass of the substance is constant so the variation is weight is possible only due to change in the acceleration due to gravity.

<u>We know that the variation of the acceleration due gravity with height is given as:</u>

g_{_h}=g\times (1-\frac{2h}{R} )

where:

g_{_h}= value to acceleration due to gravity at height h

g = acceleration due to gravity at the earth's surface

h = height of the object

R = radius of the earth = 6400\ km

according to question the weight becomes half, so,:

4.9=9.8\times (1-\frac{2h}{6400\times10^3} )

h=1.6\times 10^6\ m is the height a rocket has to go above Earth's surface before its weight is half of what it is on Earth.

4 0
3 years ago
Could a vector ever be shorter than one of its components? Equal in length to one of its components? Explain.
Kruka [31]
No the vector can never be shorter than one of its components
7 0
3 years ago
The maximum speed of a mass m on an oscillating spring is vmax . what is the speed of the mass at the instant when the kinetic a
umka21 [38]
Let
A =  the amplitude of vibration
k =  the spring constant
m =  the mass of the object

The displacement at time, t, is of the form
x(t) = A cos(ωt)
where
ω =  the circular frequency.

The velocity is
v(t) = -ωA sin(ωt)

The maximum velocity occurs when the sin function is either 1 or -1.
Therefore
v_{max} = \omega A
Therefore
v(t) = -V_{max} sin(\omega t)

The KE (kinetic energy) is given by
KE = \frac{m}{2}v^{2} = \frac{m}{2} V_{max}^{2} sin^{2} (\omega t)

The PE (potential energy) is given by
PE = \frac{k}{2} x^{2} = \frac{k}{2} A^{2} cos^{2} (\omega t)

When the KE and PE are equal, then
v^{2} = \frac{k}{m} A^{2} cos^{2} (\omega t)

For the oscillating spring,
\omega ^{2} =  \frac{k}{m} \\ V_{max} = \omega A =  \sqrt{ \frac{k}{m} } A
Therefore
v^{2} =  \frac{k}{m}  \frac{m}{k} V_{max}^{2} cos^{2} ( \sqrt{ \frac{k}{m} t} ) \\ v = V_{max}  \,cos( \sqrt{ \frac{k}{m} t} )

Answer: v(t) = V_{max} cos( \sqrt{ \frac{k}{m} t} )

3 0
4 years ago
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