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TiliK225 [7]
2 years ago
14

Determine the weight of a 1350 kg rock as it falls off a cliff.

Physics
1 answer:
mr Goodwill [35]2 years ago
5 0

Answer:

13,230 N

Explanation:

F = mg

F = (1350 kg)(9.8 m/s²)

F = 13,230 N

You might be interested in
Fig.3 shows three 10 g particles that have been glued to a rod of length L = 6 cm and negligible mass. The assembly can rotate a
Phoenix [80]

(a) The amount of work required to change the rotational rate is 0.0112 J.

(b) The decrease in the rotational inertia when the outermost particle is removed is 64.29%.

<h3>Moment of inertia of the rod</h3>

The moment of inertia of the rod from the axis of rotation is calculated as follows;

I = md² + m(2d)² + m(3d)²

where;

  • m is mass = 10 g = 0.01 kg
  • d = 3 equal division of the length

d = 6/3 = 2 cm = 0.02 m

I = md²(1 + 2² + 3²)

I = 14md²

I = 14(0.01)(0.02)²

I = 5.6 x 10⁻⁵ kg/m³

<h3>Work done to change the rotational rate</h3>

K.E = ¹/₂Iω²

K.E = ¹/₂(5.6 x 10⁻⁵)(60 - 40)²

K.E = ¹/₂(5.6 x 10⁻⁵)(20)²

K.E = 0.0112 J

<h3>Percentage decrease of rotational inertia when the outermost particle is removed</h3>

I₂ = md² + m(2d)²

I₂ = 5md²

ΔI = 14md² - 5md²

ΔI = 9md²

η = (ΔI/I) x 100%

η = (9md²/14md²) x 100%

η = 64.29 %

Learn more about rotational inertia here: brainly.com/question/14001220

#SPJ1

4 0
1 year ago
A spring stores potential energy U0 when it is compressed a distance x0 from its uncompressed length.
beks73 [17]

Answer:

Explanation:

Using Hooke's law

Elastic potential energy = 1/2 K x²

K is elastic constant of the spring

x is the extension of the spring

a) The elastic potential energy when the spring is compressed twice as much  Uel = 1/2 k (2x₀) ² =  4 (1/2 kx₀²)= 4 U₀

b) when is compressed half as much Uel = 1/2 k \frac{x0}{4} ^{2} = \frac{1}{4} ( U₀)

c) make x₀ subject of the formula in the equation for elastic potential

      x₀ =\sqrt{\frac{2U0}{K}  }

x, the amount it will compressed to tore twice as much energy = \sqrt{\frac{2 (2U0)}{K} }

x = √2 x₀

d) x₁, the new length it must be compressed to store half as much energy = \sqrt{\frac{2 (\frac{1}{2})U0 }{K} }

x₁ = \sqrt{\frac{1}{2} } x₀

5 0
3 years ago
If a 2 kg spring is compressed by exerting a force of 10 newtons a distance of 50 cm how much work is done?
Elina [12.6K]
Convert cm into meters,
50/100=0.5m

work done= 10x0.5
=5J

we dont consider the weight of the spring as it acts downwards.
5 0
3 years ago
Determine the current in the 7-ohm resistor for the circuit shown in the figure. Assume that the batteries are ideal and that al
seraphim [82]

Answer:

I₁ = 1.6 A (through 7 Ohm Resistor)

I₂ = 1.3 A (through 8 Ohm Resistor)

I₃ = I₁ - I₂ = 1.6 A - 1.3 A = 0.3 A (through 4 Ohm Resistor)

Explanation:

Here we consider two loops doe applying Kirchhoff's Voltage Law (KVL). The 1st loop is the left side one with a voltage source of 12 V and the 2nd Loop is the right side one with a voltage source of 9 V. We name the sources and resistor's as follows:

R₁ = 7 Ω

R₂ = 4 Ω

R₃ = 8 Ω

V₁ = 12 V

V₂ = 9 V

Now, we apply KVL to 1st Loop:

V₁ = I₁R₁ + (I₁ - I₂)R₂

12 = 7I₁ + (I₁ - I₂)(4)

12 = 7I₁ + 4I₁ - 4I₂

I₁ = (12 + 4 I₂)/11   ------------ equation (1)

Now, we apply KVL to 2nd Loop:

V₂ = (I₂ - I₁)R₂ + I₂R₃

9 = (I₂ - I₁)(4) + 8I₂

9 = 4I₂ - 4I₁ + 8I₂

9 = 12I₂ - 4I₁   -------------- equation (2)

using equation (1)

9 = 12I₂ - 4[(12 + 4 I₂)/11]

99 = 132 I₂ -  48 - 16 I₂

147 = 116 I₂

I₂ = 147/116

I₂ = 1.3 A

use this value in equation 2:

9 = 12(1.3 A) - 4I₁

4I₁ = 15.6 - 9

I₁ = 6.6 A/4

I₁ = 1.6 A

Hence, the currents through all resistors are:

<u>I₁ = 1.6 A (through 7 Ohm Resistor)</u>

<u>I₂ = 1.3 A (through 8 Ohm Resistor)</u>

<u>I₃ = I₁ - I₂ = 1.6 A - 1.3 A = 0.3 A (through 4 Ohm Resistor)</u>

4 0
3 years ago
Relation between wavelength wave velocity and time period
Snezhnost [94]

Answer: wavelength=velocity×period

Explanation:the relation between velocity, wavelength and period is

Wavelength=velocity×period

8 0
3 years ago
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