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aivan3 [116]
3 years ago
9

A small wooden block with mass m1 is suspended from the lower end of a light cord that is l long. The block is initially at rest

. A bullet with mass m2 is fired at the block with a horizontal velocity v0. The bullet strikes the block and becomes embedded in it. After the collision the combined object swings on the end of the cord. When the block has risen a vertical height of h, the tension in the cord is T0. What was the initial speed v0 of the bullet
Physics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

Explanation:

The tension of the cord is not important, what matters is the height the block has risen.

When it has risen to its maximum it will have a speed of 0, and because of that it will have a kinetic energy of 0. However it will have a higher potential energy than it had at the beginning. The difference in potential energy will be:

\Delta Ep = (m1 + m2) * g * h

The energy to rise the block with the bullet embedded into it came from the kinetic energy of the bullet.

Ec = \frac{1}{2} * m2 * v0^2

These two energies are equal because all the kinetic energy the bullet had was transformed into potential energy. Therefore:

(m1 + m2) * g * h = \frac{1}{2} * m2 * v0^2

Rearranging:

V0 = \sqrt{\frac{2*(m1 + m2) * g *}{m2}}

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An 850-lb force is applied to a 0.15-in. diameter nickel wire having a yield strength of 45,000 psi and a tensile strength of 55
Sindrei [870]

Answer:

a)Yes will deform plastically

b) Will NOT experience necking

Explanation:

Given:

- Applied Force F = 850 lb

- Diameter of wire D = 0.15 in

- Yield Strength Y=45,000 psi

- Ultimate Tensile strength U = 55,000 psi

Find:

a) Whether there will be plastic deformation

b) Whether there will be necking.

Solution:

Assuming a constant Force F, the stress in the wire will be:

                       stress = F / Area

                       Area = pi*D^2 / 4

                       Area = pi*0.15^2 / 4 = 0.0176715 in^2

                       stress = 850 / 0.0176715

                       stress = 48,100.16 psi

      Yield Strength < Applied stress > Ultimate Tensile strength

                        45,000 < 48,100 < 55,000

Hence, stress applied is greater than Yield strength beyond which the wire will deform plasticly but insufficient enough to reach UTS responsible for the necking to initiate. Hence, wire deforms plastically but does not experience necking.

6 0
3 years ago
A donkey starts from rest and accelerates for 6.7 s at a rate of 1.6 m/s².
vitfil [10]

The maximum speed of the donkey is 10.72m/s

The question is based on the principle of motion in one dimension and hence formulas of motion in one dimension can be applied.

It is given that donkey attains an acceleration of 1.6 m/s^2

The time taken to accelerate  to given speed is 6.7 seconds

We use the formula v=u + at to find the fastest speed

v is the final or maximum speed

u is the initial speed which in this case is 0 as the donkey is at rest

a is the acceleration of the donkey

t is  the time taken in seconds

v = u + at

v= 0 + 1.6 x 6.7

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Hence the donkey obtains the speed of 10.72 m/s

For further reference:

brainly.com/question/24478168?referrer=searchResults

#SPJ9

3 0
1 year ago
The nuclear power used for electricity is produced by
svet-max [94.6K]

Answer:

<h3>b.fission. </h3>

Explanation:

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5 0
2 years ago
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A baseball pitcher throws a ball at 90.0 mi/h in the horizontal direction. How far does the ball fall vertically by the time it
Lisa [10]

Answer:

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Explanation:

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Distance= Velocity × time⇒ time= 60.5ft / (475200ft/h) = 0.00012731h

time=  0.00012731h × (3600s/h)= 0.458316s

With this time we can determine the distance traveled vertically taking into account that its initial vertical velocity is zero and its acceleration is that of gravity, 9.81m/s²:

Vertical distance= (1/2) × 9.81 (m/s²) × (0.458316s)²=1.0303m

Vertical distance= 1.0303m × (1ft/0.3048m) = 3.3803ft

This is the vertical distance traveled by the ball from the time it is thrown by the pitcher until it reaches the plate, regardless of air resistance.

3 0
3 years ago
A beam of light has a wavelength of 4.5 x10^-7 meter in a vacuum. the frequency of this light is
valkas [14]
The basic relationship between frequency and wavelength for light (which is an electromagnetic wave) is
c= f \lambda
where c is the speed of light, f the frequency and \lambda the wavelength of the wave. 
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3 0
3 years ago
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