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miv72 [106K]
3 years ago
10

An object of mass 0.400.40 kg, hanging from a spring with a spring constant of 8.08.0 N/m, is set into an up-and-down simple har

monic motion. What is the magnitude of the acceleration of the object when it is at its maximum displacement of 0.100.10 m
Physics
1 answer:
sineoko [7]3 years ago
8 0

Answer:

Acceleration will be equal to 2m/sec^2      

Explanation:

We have given mass of the object m = 0.4 kg

Spring constant k = 8 N/m

Maximum displacement of the spring is given x = 0.1 m

From newton's law force is equal to F=ma.....eqn 1

By hook's law spring force is equal to F=kx .....eqn 2

From equation 1 and equation 2

ma=kx

0.4\times a=8\times 0.1

a=2m/sec^2

So acceleration will be equal to 2m/sec^2

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You can reduce cultivated fallow
4 0
3 years ago
An object is released from rest near a planet's surface. A graph of the acceleration as a
Reil [10]

Answer:

The displacement and direction of the body after 2 seconds is 10 meters downwards

Explanation:

The given information are;

From the graph, the acceleration, is seen as the horizontal line that starts from the y-coordinate, y = -5 m/s²

Therefore;

The acceleration of the body after it was released from rest = -5 m/s² with an upward direction;

Which gives, the acceleration of the body downwards = Opposite sign to the acceleration of the body upwards = 5 m/s²

The displacement, s, of the body after 2 seconds is given by the following equation of motion;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity of the body = 0 m/s

t = The time duration of the displacement = 2 s

a = The acceleration of the body = 5 m/s², downwards

Therefore, by substituting the values, we have;

s = 0 × 2 + 1/2 × 5 × 2² = 10 meters

s = 10 meters

The displacement of the body after 2 seconds =  10 meters

Given that the direction of the displacement and the direction of the acceleration are the same, we have;

The displacement and direction of the body after 2 seconds = 10 meters downwards.

7 0
3 years ago
Match the words in the left-hand column to the appropriate blanks in the sentences in the right-hand column. Use each word only
Likurg_2 [28]

Answer:

1. Solar nebula

2. Planetesimals.

3. Heavy bombardment.

4. Accretion.

5. Solar winds

6. Condensation.

7. Frost line.

8. Radiometric dating.

Explanation:

  • Solar nebula is a cloud of gases and was created by the gravitational collapse of the dust and hydrogen in a form molecular cloud and has a hot dense center.
  • Planetesimals are solid objects that are formed by the debris from the disks and believed to have formed some 46 billion years.
  • The period of heavy bombardment is known to have been due to the intense spike of asteroids about 4 billion years ago. That lead to the formation of craters on earth and moon.
  • Accretion is the process by which the growth increase and is the accumulation of layers of matter over the surface.
  • Solar winds are those blows from the surface of the sun and consist of charged particles.
  • Condensation is a change in the physical state of gas into the liquid phase.
  • Frost line is the depth of the water is expected to freeze and can cool enough to form hydrogen compounds to solid ice grains.
  • The radiometric dating technique is allows us to determine the absolute age of rocks and carbon contents.
5 0
3 years ago
a 25 resistor, a 55 resistor, and a 75 resistor are connected in parallel and placed across a 9.0battery.
lawyer [7]
A) Equivalent Resistance= (1/25+1/55+1/75)^-1=14.0ohms(3s.f.)
b) Current=9.0V/14.0=0.644A(3s.f.)
c) Current through 25-resistor=9/25=0.360A
Current through 55-resistor=9/55=0.164A
Current through 75-resistor=9/75=0.120A
All answers are rounded off to 3 significant figures
5 0
3 years ago
Animals in cold climates often depend on two layers of insulation: a layer of body fat [of thermal conductivity 0.200W/(m⋅K) ] s
Maru [420]

Answer:

Explanation:

Using the equation

H = Q/t = k A ( T hot - T cold) / L

where H is the rate of heat loss = 51.4 W, T cold be temperature of the outer surface, A is the surface area of the fat layer which is a model of sphere ( surface area of a sphere ) = 4πr² where diameter = 1.60 m

radius = 1.60 m / 2 = 0.80 m

A = 4 × 3.142 × ( 0.8²) = 8.04352 m²

making T cold subject of the formula

T cold =  T hot -   \frac{HL}{KA}  = 30.9° C - ( 51.4 W × 3.9 × 10⁻² m) / ( 0.2 W/mK × 8.04352 m² ) =  30.9° C - 1.25 ° C = 29.65° C

b) The thickness of air layer for the bear to lose heat t a rate of 51.4 W

thermal conductivity of air is 0.024 W/mK and rearranging the earlier formula

L = \frac{kA( T HOT - T COLD )}H} = (0.024 W/ m K × 8.04352 m²) ( 29.65° C - 2.8°C) / 51.4 W = 0.101 m = 10.1 m

6 0
3 years ago
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