\huge{\gray{\sf Question:} }A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is (a) 5 cm, (b) 3 cm and (c) 0 cm.​

Answers

Answer 1
Answer:

Answer:

here \: amplitude = 5cm (convert \: to \: si \: unit) = .05m \n t = .2sec \n omega =  (2\pi)/(t) \n  =  (2\pi)/(.2 )  = 10\pi  (rad)/(s) \n  we \: want \: find \: a \: and \: v \n we \: know \: that \: a =  -  {omega}^(2) x \n v = omega \sqrt{ {r}^(2)  -  {x}^(2) }  \n(1)x = .05m \n a =  -  {10\pi}^(2)  * .05 =  - 5 {\pi}^(2)  \frac{m}{ {s}^(2) }  \n v = 10\pi \sqrt{ {.05}^(2)  -  {.05}^(2) }  = 0 \n 2)x = 3cm = .03m \n a =  {(10\pi)}^(2)  * .03 =  - 3 {\pi}^(2)  \frac{m}{ {s}^(2) }  \n v = 10\pi \sqrt{ {.05}^(2)  -  {.03}^(2) }  = 10\pi * .04 = .4\pi (m)/(s)  \n 3)x = 0 \n a =  -  {(10\pi)}^(2)  * 0 =  0 \n v = 10\pi *  \sqrt{ {.05}^(2)  -  {0}^(2) }  =  - 10\pi * .05 = .5\pi (m)/(s)  \n thank \: you

Answer 2
Answer:

Answer:

ANSWER

A = 5 cm = 0.05 m

T = 0.2 s

ω=2π/T=2π/0.2=10πrad/s

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The asteroid 234 Ida has a mass of about 4 × 1016 kg and an average radius of about 16 km. What is the acceleration due to gravity on 234 Ida? Assume that the asteroid is spherical; use G = 6.67 × 10–11 Nm2/kg2.A. 1 cm/s2
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Answers

The asteroid 234 Ida has a mass of about 4×1016 kg and an average radius of about 16 km. The acceleration due to gravity will be 1.04 cm/s². Hence, option A is correct.

What is the acceleration due to gravity?

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s² is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on the earth's surface is 9.8 m/s².

The formula for the acceleration due to gravity is g=GM/r².

According to the question, the given values are :

Mass, M = 4 × 1016 kg or

M = 4 × 10¹⁶.

Radius, r = 16 km or,

r = 16000 meter.

G = 6.67 × 10⁻¹¹ Nm²/kg²

g = (6.67 × 10⁻¹¹ ) (4 × 10¹⁶) / 16000²

g = 0.0104 m/s² or,

g = 1.04 cm/s².

Hence, the acceleration due to gravity will be 1.04 m/s²

To get more information about Acceleration due to gravity :

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Answer:

1 cm/s²

Explanation:

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Which statement describes a disadvantage of using natural gas as an energy source? It is expensive to use. It is hard to stop using. It is a renewable resource. It is scarce in some parts of the world.

Answers

Due to the dependency on natural gasas a fuel, it is hard to stop using.

What is natural gas?

Natural gas is a fossil fuel which is obtained from the ground in association with petroleum.

Natural gas consists mainly of petroleum.

It is a non-renewable energy source.

Natural gas use contributes to global warming

However, due to the dependency on natural gasas a fuel, it is hard to stop using.

Learn more about natural gas at: brainly.com/question/815922

Answer:

B : It is hard to stop using.

Explanation:

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It's a little hard can u help

Answers

I can't really tell what (I) is, but F) blender def converts electric into motion of spinning blades

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True or false

Answers

Answer:

False

Explanation:

False, as a magnetic field is generated whenever current travels through a conductor.

An electromagnet consists of a coil of wire wrapped around a bar of iron. The coil and iron bar get magnetized when electric current flows through the wire. An electromagnet also has north and south magnetic poles. The magnetic field is strongest at either pole of the magnet.

Two ice skaters, Lilly and John, face each other while at rest, and then push against each other's hands. The mass of John is twice that of Lilly. How do their speeds compare after they push off? Lilly's speed is one-fourth of John's speed. Lilly's speed is the same as John's speed. Lilly's speed is two times John's speed. Lilly's speed is four times John's speed. Lilly's speed is one-half of John's speed.

Answers

Answer:

Lilly's speed is two times John's speed.

Explanation:

m = Mass

a = Acceleration

t = Time taken

u = Initial velocity

v = Final velocity

The force they apply on each other will be equal

F=ma\n\Rightarrow a_l=(F)/(m_l)

F=ma\n\Rightarrow a_j=(F)/(2m_l)\n\Rightarrow a_j=(1)/(2)a_l

v=u+at\n\Rightarrow v_l=0+(F)/(m_l)* t\n\Rightarrow v_l=a_lt

v=u+at\n\Rightarrow v_l=0+(F)/(2m_l)* t\n\Rightarrow v_j=(1)/(2)a_lt\n\Rightarrow v_j=(1)/(2)v_l\n\Rightarrow v_l=2v_j

Hence, Lilly's speed is two times John's speed.

Answer:

Lilly's speed is 2 times Johns speed

Explanation:

A woman who weighs 500 N stands on an 8.0-m-long board that weighs 100 N. The board is supported at each end. The support force at the right end is 3 times the support force at the left end. How far from the right end is the woman standing?

Answers

Answer:

The woman's distance from the right end is 1.6m = (8-6.4)m.

The principles of moments about a point or axis running through a point and summation of forces have been used to calculate the required variable.

Principle of moments: the sun of clockwise moments must be equal to the sun of anticlockwise moments.

Also the sun of upward forces must be equal to the sun of downward forces.

Theses are the conditions for static equilibrium.

Explanation:

The step by step solution can be found in the attachment below.

Thank you for reading this solution and I hope it is helpful to you.