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Andre45 [30]
4 years ago
7

spring is compressed 4.2 cm. If a box is placed at the end of the compressed spring, and let go, how far up the ramp will the sp

ring cause the box to travel? Ignore any frictional effects.
Physics
1 answer:
mariarad [96]4 years ago
3 0

Answer:

0.81 m

Explanation:

K= 36 N/m

θ= 30°

mass m = 8 kg

let the distance moved by the box be d

We can  solve this using

Apply conservation of energy

\frac{1}{2}kx^2= mg sin\theta\times d

d= 1/2×k×x^2/ mg sinθ

d= \frac{1}{2}\times36(0.042)^2/8\times9.81sin30

d  = 0.81 m

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You attach a meter stick to an oak tree, such that the top of the meter stick is 2.27 meters above the ground. later, an acorn f
Alexandra [31]

The acorn was at a height of <u>4.15 m</u> from the ground before it drops.

The acorn takes a time t to fall through a distance h₁, which is the length of the scale. When the acorn reaches the top of the scale, its velocity is u.

Calculate the speed of the acorn at the top of the scale, using the equation of motion,

s=ut+ \frac{1}{2} at^2

Since the acorn falls freely under gravity, its acceleration is equal to the acceleration due to gravity g.

Substitute 2.27 m for s (=h₁), 0.301 s for t and 9.8 m/s² for a (=g).

s=ut+ \frac{1}{2} at^2\\ (2.27 m)=u(0.301s)+\frac{1}{2}(9.8m/s^2)(0.301s)^2\\ u=\frac{1.8261m}{0.301s} =6.067m/s

If the acorn starts from rest and reaches a speed of 6.067 m/s at the top of the scale, it would have fallen a distance h₂ to achieve this speed.

Use the equation of motion,

v^2=u^2+2as

Substitute 6.067 m/s for v, 0 m/s for u, 9.8 m/s² for a (=g) and h₂ for s.

v^2=u^2+2as\\ (6.067m/s)^2=(0m/s)^2+2(9.8m/s^2)h_2\\ h_2=\frac{(6.067m/s)^2}{2(9.8m/s^2)} =1.878 m

The height h above the ground at which the acorn was is given by,

h=h_1+h_2=(2.27 m)+(1.878 m)=4.148 m

The acorn was at a height <u>4.15m</u> from the ground before dropping down.

3 0
3 years ago
Water flowing through a cylindrical pipe suddenly comes to a section of pipe where the diameter decreases to 86% of its previous
Orlov [11]

Answer:

Explanation:

The speed of the water in the large section of the pipe is not stated

so i will assume 36m/s

(if its not the said speed, input the figure of your speed and you get it right)

Continuity equation is applicable for ideal, incompressible liquids

Q the flux of water that is  Av with A the cross section area and v the velocity,

so,

A_1V_1=A_2V_2

A_{1}=\frac{\pi}{4}d_{1}^{2} \\\\ A_{2}=\frac{\pi}{4}d_{2}^{2}

the diameter decreases 86% so

d_2 = 0.86d_1

v_{2}=\frac{\frac{\pi}{4}d_{1}^{2}v_{1}}{\frac{\pi}{4}d_{2}^{2}}\\\\=\frac{\cancel{\frac{\pi}{4}d_{1}^{2}}v_{1}}{\cancel{\frac{\pi}{4}}(0.86\cancel{d_{1}})^{2}}\\\\\approx1.35v_{1} \\\\v_{2}\approx(1.35)(38)\\\\\approx48.6\,\frac{m}{s}

Thus, speed in smaller section is 48.6 m/s

3 0
3 years ago
A block and tackle pulley system of 6 pulley uses 300N to overcome 1200N.find efficiency
Fittoniya [83]

Answer:

66.7%

Explanation:

There are 6 pulleys, so the mechanical advantage is 6.

The theoretical force needed to overcome 1200 N is therefore:

1200 N / 6 = 200 N

The actual force is 300 N.  So the efficiency is:

200 N / 300 N × 100% = 66.7%

4 0
3 years ago
*PLEASE HELP! FIRST CORRECT ANSWER GETS BRAINLIEST!*
scoray [572]

Answer:

Explanation:

1 advantage of genetic engineering:

It allows for a faster growth rate. Because with genetic engineering, plants and animals are allowed to be modified so their maturity would occur at a quicker pace.

1 disadvantag of genetic engineering:

The nutrition value of foods can be less. For example, in a research show that genetic enginnering make chicken increase the fat content by 220% but reduced the amount of protein.

1 advantage of cloning:

When cloning, the object would be able to create tissue and organs that doctor can use when needed during the surgery.

1 disadvantage of cloning:

If original organism has genetic deffects, it will be passed down through all the continuous generations

1 advantage of artificial selection (can be called as selective breeding):

It will provide improvements to plants and animals. For example, seedless fruits, increast the tast of food, etc.

1 disadvantage of artificial selection (can be called as selective breeding):

It may lead to a lack of variety in plant or animal species. As the breeding is selective so the variety in plant would be decrease. For example, people like seedless fruits than normal included-seed fruit so that would make the new fruit become more popular and may lead to decrease the diversity in fruits.

Hope this help you :3

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6 0
3 years ago
A 1500 kg car is moving at 15m/s what is the impulse experienced by the car
denpristay [2]

Answer:

22500 Ns

Explanation:

Given,

Mass ( m ) = 1500 kg

Velocity ( v ) = 15 m/s

Formula : -

Impulse = mv

Impulse

= 1500 x 15

= 22500 Ns

Therefore,

22500 Ns is the impulse experienced by the car.

Note : -

Ns is the unit of impulse.

7 0
2 years ago
Read 2 more answers
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