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ddd [48]
3 years ago
9

A force of 1,500 N is moved through 0.10 m in order to compress a steel cylinder. The cylinder was compressed 0.010 m by a force

of 13,000 N. The efficiency of the compression machine is what % ?
115
0.87
87
8.7
Physics
1 answer:
ValentinkaMS [17]3 years ago
4 0
We first calculate the work effectively done by the force when it compressed the steel cylinder. This is solved by multiplying the distance that the cylinder was compressed by and its causing force.
0.010 m * 13,000 N = 130 N-m

Then, we solve for the work done by the 1,500 N force:
0.10 m * 1,500 N = 150 N-m

We then take the ratio of the efficient:experimental
130 N-m / 150 N-m = 0.87 = 87%

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A bungee jumper has a mass of 60kg and uses a 25m long bungee cord (unstretched length) with an elastic coefficient of 800N/m. a
KonstantinChe [14]

Answer:

a ) 2.68 m / s

b )  1.47 m

Explanation:

The jumper will go down with acceleration as long as net force on it becomes zero . Net force of (mg - kx ) will act on it  where kx is the restoring force acting in upward direction.

At the time of equilibrium

mg - kx = 0

x = mg / k

= (60 x 9.8 ) / 800

= 0.735 m

At this moment , let its velocity be equal to V

Applying conservation of energy

kinetic energy of jumper + elastic energy of cord = loss of potential energy of the jumper

1/2 m V² + 1/2 k x² = mg x

.5 x 60 x V² + .5 x 800 x .735 x .735 = 60 x 9.8 x .735

30 V² + 216.09 = 432.18

V = 2.68 m / s

b ) At lowest point , kinetic energy is zero and loss of potential energy will be equal to stored elastic energy.

1/2 k x² = mgx

x = 2 m g / k

= (2 x 60 x 9.8) / 800

= 1.47 m

3 0
3 years ago
Read 2 more answers
The 15 g head of a bobble-head doll oscillates in SHM at a frequency of 4.0 Hz.
Goshia [24]

Answer:

(a) 9.375 N/m

(b) 0.5024 m/s

(c) 0.01 kg/s

Explanation:

mass of head, m = 15 g = 0.015 kg

frequency, f = 4 Hz

Time period, T = 1 / f = 0.25 s

Let k is the spring constant.

(a)

The formula for the time period is

T=2\pi\sqrt{\frac{m}{K}}

0.25=2\times 3.14 \sqrt{\frac{0.015}{K}}

0.04=\sqrt{\frac{0.015}{K}}

K = 9.375 N/m

(b)

Amplitude, A = 2 cm

Let ω is the angular velocity.

Maximum velocity, v = A ω = A x 2πf

v = 0.02 x 2 x 3.14 x 4 = 0.5024 m/s

(c)

Let b is the damping constant.

A(t = 4s) = 0.5 cm

Ao = 2 cm

Using the formula of damping

\frac{A}{A_{0}}=e^{-\frac{bt}{2m}}

\frac{0.5}{2}}=e^{-\frac{b\times 4}{2\times 0.015}}

0.25=e^{-133.3 b}

Taking natural log on both the sides

ln (0.25) = - 133.3 b

- 133.3 b = - 1.386

b = 0.01 kg/s

3 0
3 years ago
A long point-object, mass = 1.0 kg, moves in a circular path at a radial distance = 0.5 m from the axis of rotation. What is the
Vinvika [58]

Answer:0.25\ kg-m^2

Explanation:

Given

mass of Point object m=1 kg

Distance r=0.5 m

Since mass is moving in circular path therefore every time mass is at distance of r from center .

Also Moment of Inertia tells about  the distribution of mass over the given region with respect to center of mass.

Therefore I=mr^2

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What is meant by velocity?
Mademuasel [1]
The speed of something in a given direction.
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AS YOU PREPARE TO TURN RIGHT AT A CORNER WHERE THERE IS A BICYCLE LANE, YOU SHOULD SIGNAL, LOOK CAREFULLY FOR BICYCLISTS, AND TH
hjlf

Answer:

C. Merge into the bike lane to make a turn

Explanation:

According to the law, the bicycle is considered as a vehicle, therefore a bike lane is used for vehicular travel.

This would imply that drivers should merge into the bike lanes when they are to make a right turn at a corner.

If a bike rider is in the lane, the car yields to the bike and then moves into the lane.

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