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Natasha2012 [34]
2 years ago
7

7. A 1.0 kg metal head of a geology hammer strikes a solid rock with a velocity of 5.0 m/s. Assuming all the energy is retained

by the hammer head, how much will its temperature increase
Physics
1 answer:
marta [7]2 years ago
8 0

The increase in temperature of the metal hammer is 0.028 ⁰C.

The given parameters:

  • <em>mass of the metal hammer, m = 1.0 kg</em>
  • <em>speed of the hammer, v = 5.0 m/s</em>
  • <em>specific heat capacity of iron, 450 J/kg⁰C</em>

The increase in temperature of the metal hammer is calculated as follows;

Q = K.E\\\\mc \Delta T = \frac{1}{2}  mv^2\\\\\Delta T = \frac{v^2}{2 c}

where;

<em>c is the </em><em>specific heat capacity</em><em> of the metal hammer</em>

<em />

Assuming the metal hammer is iron, c = 450 J/kg⁰C

\Delta T = \frac{5^2}{2 \times 450} \\\\\Delta T = 0.028 \ ^0C

Thus, the increase in temperature of the metal hammer is 0.028 ⁰C.

Learn more about heat capacity here: brainly.com/question/16559442

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What is the word we use for when we repeat the same thing more than once in an experiment?
AlladinOne [14]

Answer:

The answer is "Repetition"

Explanation: when you say something more than 3 times, is called repetiton

7 0
3 years ago
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Pluto’s diameter is approximately 2370 km, and the diameter of its satellite Charon is 1250 km. Although the distance varies, th
MissTica

Answer:

r_{cm} = 2520.5 km

Explanation:

As we know that mass is the product of volume and density

so we will have

M = \rho V

here we have

M = \rho(\frac{4}{3}\pi r^3)

so we will have

\frac{M_p}{M_c} = (\frac{r_p}{r_c})^3

so we will have

\frac{M_p}{M_c} = (\frac{2370}{1250})^3

M_p = 6.81 M_c

now let the position of Pluto is at origin so we have

r_{cm} = \frac{M_p (0) + M_c(19700)}{M_p + M_c}

r_{cm} = \frac{19700}{\frac{M_p}{M_c} + 1}

r_{cm} = \frac{19700}{6.81 + 1}

r_{cm} = 2520.5 km

5 0
3 years ago
Which of the following is a good example of a physical change?
den301095 [7]
Candle burning because it’s going from a solid to a liquid

Plz give me a good mark
5 0
3 years ago
A horizontal bend in a pipeline conveying 1 m3/s of water gradually reduces from 600 mm to 300 mm in diameter and deflects the f
Brums [2.3K]

Answer:

The force excerted on the bend = 45.3 kN

This happens under an angle of tan^-1(1.7/4.2) = 22° to the x-direction

Explanation:

Step 1: Data given

A horizontal bend in a pipeline conveying 1m³/s of water

Diameter reduces from 600 mm to 300 mm

angle = 60°

At the larger end, the pressure = 170 KN/m²

Step 2:

1 m³/s = A1 *V1 = A2*V2

⇒ with A1 = the area at side 1

⇒ with A2 = the area at side 2

V1 = 1/((π/4)(0.6²)) = 3.537 m/s

V2 =  1/((π/4)(0.3²)) = 14.147 m/s

p1/p*g + (V1)²/2g = p2/p*g + (V2)²/2g

⇒ with p1 =170 *10³ N/m²

⇒ with p = 10³

⇒ with g = 9.81 m/s²

⇒ with p2 = TO BE DETERMINED

⇒ with V1 = 3.537 m/s

⇒ with V2 = 14.147 m/s

p2/fg = (170*10³)/(10³*9.81) + (3.537²)/(2*9.81) - (14.147²)/(2*9.81)

p2/fg = 7.767

p2 = 7.767 * 9810

p2 = 7.62*10^4 N/m²

Gravity forces are 0 along the horizontal plane. The only forces acting on the fluid mass = pressure and momentum forces.

Let's consider Fx and Fy as 2 components of total force F excerted by the bent boundary surface on the fluid mass.  

In x-direction we have: p1*A1 + Fx - p2A2cos∅ = pQ(V2cos∅ - V1)

In y-direction we have: 0 + Fy - p2A2sin∅ = pQ(V2sin∅-0)

Fx = 10³*(14.147cos60° - 3.537) + 7.62 * 10^4 * π/4 *(0.3²) * cos60° - 170*10^3 * π/4 *(0.6²)

Fx = -4.2 *10^4 N  (The negative sign shows the direction to the left)

Fy = 10³*(14.147sin60°) + 7.62 *10^4 * π/4 *(0.3²) *sin 60°

Fy = 1.7*10^4 N ( The positive sign shows the direction is upwards)

The law of motion says: the forces Rx and Ry excerted by the fluid on the bend will be equal and opposite to Fx and Fy:

Rx = -Fx = 4.2 *10^4 N ( positive sign means direction to the right)

Ry = -Fy = -1.7 *10^4 N  (Negative sign means direction downwards)

The resultant force on the bend:

R = √((Rx)² + (Ry)²

R = √((4.2 * 10^4)² + (-1.7*10^4)²)

R = 45310 N = 45.3 * 10³ N = 45.3 kN

The force excerted on the bend = 45.3 kN

This happens under an angle of tan^-1(1.7/4.2) = 22° to the x-direction

                       

           

5 0
3 years ago
To study the properties of various particles, you can accelerate the particles with electric fields. A positron is a particle wi
maria [59]

Answer:

a) a = 5.03x10¹³ m/s²

b) V_{f} = 4.4 \cdot 10^{5} m/s

Explanation:    

a) The acceleration of the positron can be found as follows:

F = q*E    (1)

Also,

F = ma    (2)

By entering equation (1) into (2), we have:

a = \frac{F}{m} = \frac{qE}{m}

<u>Where:</u>

F: is the electric force

m: is the particle's mass = 9.1x10⁻³¹ kg

q: is the charge of the positron = 1.6x10⁻¹⁹ C    

E: is the electric field = 286 N/C

a = \frac{qE}{m} = \frac{1.6 \cdot 10^{-19} C*286 N/C}{9.1 \cdot 10^{-31} kg} = 5.03 \cdot 10^{13} m/s^{2}

b) The positron's speed can be calculated using the following equation:

V_{f} = V_{0} + at

<u>Where</u>:

V_{f}: is the final speed =?

V_{0}: is the initial speed =0

t: is the time = 8.70x10⁻⁹ s

V_{f} = V_{0} + at = 0 + 5.03 \cdot 10^{13} m/s^{2}*8.70 \cdot 10^{-9} s = 4.4 \cdot 10^{5} m/s

I hope it helps you!

4 0
2 years ago
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