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3 years ago

Conservation of Energy:

Physics

1 answer:

e-lub [12.9K]3 years ago

5 0

The new speed of the glider is 42.2 m/s.

The new speed of the glider can be calculated using the principle of the law of conservation of energy.

Note: Total energy of the glider before the dive = Total energy of the glider after the dive.

<h3> Formula:</h3>

mv²/2+mgh = mV²/2 +mgH................ Equation 1

Simplifying the equation above,

v²/2+gh = V²+gH

make V the subject of the equation.

V = √[(v²/2)+gh]-gH]............... Equation 2

<h3>Where:</h3>

V = New speed of the glider
v = initial speed of the glider
h = initial height of the glider
H = New height of the glider
g = acceleration due to gravity.

From the question,

<h3>Given:</h3>

v = 40 m/s
h = 300 meters
H = 200 meters
g = 9.8 m/s²

Substitute these values into equation 2.

V = √[(40²/2)+(9.8×300)-(9.8×200)]
V = √(800+2940-1960)
V = √1780
V = 42.2 m/s.

Hence, The new speed of the glider is 42.2 m/s.

Learn more about speed here: brainly.com/question/4931057

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A block with mass m =6.9 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.29 m.

crimeas [40]

1) The spring constant is 233.2 N/m

2) The oscillation frequency is 0.93 Hz

3) The speed of the block is 3.2 m/s

4) The maximum acceleration is $23.9 m/s^2$

5) The net force on the block is 104.9 N

Explanation:

At equilibrium, the weight of the mass is equal to the restoring force of the spring. Therefore, we can write:

$mg=kx$

where

m = 6.9 kg is the mass hanging on the spring

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

k is the spring constant

x = 0.29 m is the stretching of the spring

Solving for k, we find

$k=\frac{mg}{x}=\frac{(6.9)(9.8)}{0.29}=233.2 N/m$

The oscillation frequency of a spring-mass system is given by

$f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}$

where

k is the spring constant

m is the mass

In this problem,

k = 233.2 N/m is the spring constant

m = 6.9 kg is the mass

Substituting, we find the frequency:

$f=\frac{1}{2\pi}\sqrt{\frac{233.2}{6.9}}=0.93 Hz$

The velocity of the block at time t is given by the equation:

$v(t) = -v_0 cos(\omega t)$

where

$v_0 = 4.1 m/s$ is the initial speed

$\omega$ is the angular frequency

t is the time

The angular frequency can be found from the frequency:

$\omega=2\pi f=2\pi(0.93)=5.84 rad/s$

And substituting t = 0.42 s, we find the velocity of the block at this time:

$v(t)=-4.1 cos ((5.84)(0.42))=3.2 m/s$

The maximum acceleration of the block is given by

$a_{max} = \omega^2 A$ (1)

where

$\omega=5.84 rad/s$ is the angular frequency

A is the amplitude

The amplitude is related to the initial velocity by the equation:

$v_0=\omega A$ (2)

Combining (1) and (2), we find

$a_{max}=v_0 \omega$

And substituting $v_0 = 4.1 m/s$ , we find

$a_{max}=(4.1)(5.84)=23.9 m/s^2$

The acceleration at time t can be found by calculating the derivative of v(t), and it is given by the equation

$a(t) = a_{max} sin(\omega t)$

where

$a_{max}=23.9 m/s^2$ is the maximum acceleration

$\omega=5.84 rad/s$ is the angular frequency

t is the time

Substituting t = 0.42 s,

$a(t)=(23.9)sin((5.84)(0.42))=15.2 m/s^2$

Finally, the net force on the block can be found by using Newton's second law:

$F=ma=(6.9)(15.2)=104.9 N$

#LearnwithBrainly

4 0

3 years ago

Motion maps for two objects, Y and Z, are shown.

Yuki888 [10]

D. 5

Explanation:

From the diagram, the motion of object Y catches with object Z after 3 seconds. At 5 seconds, the two objects are at the same motion position creating a higher possibility for object Z to pass object Y after the 5th second.

Learn More

Motion of objects:brainly.com/question/12931198

Keywords : motion, maps, objects, passes, seconds

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8 0

3 years ago

Read 2 more answers

When you stretch a spring 33 cm past its natural length, it exerts a force of 6 N. What is the spring constant of this spring?

PilotLPTM [1.2K]

The spring formula:

   Force = - (spring constant) · (distance stretched or squashed)

   6 N = - (spring constant) · (33 cm)

   = - (0.33 m) · (spring constant)

Spring constant = - (6 N) / (0.33 m)

=    - 18.18 N/meter .

The negative signs means that the spring always wants to go in the
opposite direction from where you forced it, and return to its relaxed
length. If you stretch it, it tries to get shorter, and if you compress it,
it tries to get longer.

6 0

3 years ago

Read 2 more answers

An electromagnetic wave traveling in a

Phoenix [80]

The answer is (a) 6,000,000m

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4 years ago

Perform the calculation and report your answer using sig figs. 657.70 - 26.543

Anton [14]

Answer:

The answer is 631.157

Explanation:

The question requested that the answer to the subtraction of 26.543 from 657.70 must be written using significant figures.

Here are a few tips about how to Identify significant figures.

1) It should be noted that <u>the number "0" is what is usually (but not always) affected</u> while trying to identify significant figures. Hence, <u>all other numbers/digits are always significant</u>. For example, 26.543 has five significant figures.

2) The zeros found between these "other numbers/digits" are also significant. For example, 2202 has four significant figures.

3) In the case of a decimal, the tailing zeros or the final zero is also significant. 657.70 and 657.07 have five significant figures.

Now, back to the question

657.70 - 26.543 = 631.157.

Our final answer does not have a zero, hence all the digits (six) are significant.

8 0

3 years ago