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1 year ago

Calculate the percent error of the distance to the moon.

Physics

1 answer:

Bess [88]1 year ago

3 0

Answer:

Explanation:

Difference in the measurement by shuttle crew Δ d = 238857 - 226316 miles

= 12541 miles

Actual measurement = 238857 miles

percentage error

= (12541 / 238857 ) x 100

= 5.25 %

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A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 6 inches below the

hoa [83]

Answer:

Since the spring mass system will execute simple harmonic motion the position as a function of time can be written as $x(t)=Asin(\omega t+\phi)$

'A' is the amplitude = 6 inches (given)

$\omega =\sqrt{\frac{k}{m}}$ is the natural frequency of the system

At equilibrium we have

$mg=kx\\\\k=\frac{mg}{x}$

Applying values we get

$k=40 lb/ft$

thus natural frequency equals

$\omega =\sqrt{\frac{40}{\frac{20}{32}}}\\\\\omega =8s^{-1}$

Thus the equation of motion becomes

$x(t)=6sin(8t+\phi)$

At time t=0 since mass is at it's maximum position thus we have

$A=Asin(\omega t+\phi)\\\\\therefore sin(\omega\times 0+\phi)=1\\\\\phi=\frac{\pi}{2}\\\\\therefore x(t)=Asin(\omega t+\frac{\pi}{2})$

Thus the position of mass at the given times is as follows

1) at $\frac{\pi}{12}$ $x(t)=5.99inches$

2) at $\frac{\pi}{8}$ $x(t)=5.9909inches$

3) at $\frac{\pi}{6}$ $x(t)=5.98397inches$

4) at $\frac{\pi}{4}$ $x(t)=5.9639inches$

5) at $\frac{9\pi}{32}$ $x(t)=5.954inches$

4 0

1 year ago

Calculate the weight of a 4.5 kg rabbit.

solniwko [45]

The correct answer is: 13900589.

3 0

1 year ago

Two climbers are on a mountain. Simon, of mass m, is sitting on a snow covered slope that makes an angle θ with the horizontal.

elena-14-01-66 [18.8K]

Answer:

Explanation:

It is required that the weight of Joe must prevent Simon from being pulled down . That means he is not slipping down but tends to be towed down . So in equilibrium , force of friction will act in upward direction on Simon.

Let in equilibrium , tension in rope be T

For balancing Joe

T = M g

For balancing Simon

friction + T = mgsinθ

μmgcosθ+T = mgsinθ

μmgcosθ+Mg = mgsinθ

M = (msinθ - μmcosθ)

M = m(sinθ - μcosθ)

5 0

1 year ago

A 110-pound person pulls herself up 4.0 feet. This took her 2.5 seconds. How much power was developed?

mrs_skeptik [129]

Answer:

0.32 Hp is the answer. right

5 0

1 year ago

Read 2 more answers

A box with a mass of 100.0 kg slides down a ramp with a 50 degree angle. What is the weight of the box? N What is the value of t

nadya68 [22]

1) weight of the box: 980 N

The weight of the box is given by:

$W=mg$

where m=100.0 kg is the mass of the box, and $g=9.8 m/s^2$ is the acceleration due to gravity. Substituting in the formula, we find

$W=(100.0 kg)(9.8 m/s^2)=980 N$

2) Normal force: 630 N

The magnitude of the normal force is equal to the component of the weight which is perpendicular to the ramp, which is given by

$N=W cos \theta$

where W is the weight of the box, calculated in the previous step, and $\theta=50^{\circ}$ is the angle of the ramp. Substituting, we find

$N=(980 N)(cos 50^{\circ})=630 N$

3) Acceleration: $7.5 m/s^2$

The acceleration of the box along the ramp is equal to the component of the acceleration of gravity parallel to the ramp, which is given by

$a_p = g sin \theta$

Substituting, we find

$W_p = (9.8 m/s^2)(sin 50^{\circ})=7.5 m/s^2$

5 0

1 year ago