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2 years ago

Show the equation of simple pendulum to be dimensionally consistent

1 answer:

nataly862011 [7]2 years ago

6 0

T is in seconds (s)

2pi is dimensionless 

L is in meters (m) 

g is in meters per second squared (m/s^2) 

so you can write the equation for the period of the simple pendulum in its units... 

s=sqrt(m/(m/s^2)) 

simplify

s=sqrt(m*s^2*1/m) cancelling the m's 

s=sqrt(s^2) 

s=s 

therefore the dimensions on the left side of the equation are equal to the dimensions on the right side of the equation.

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1) how does reflection differ from diffraction?

Evgesh-ka [11]

Answer: (1) The correct answer is A.

(2) The correct answer is D.

Explanation:

(1)

Reflection is the sending back of light from the surface without absorbing it. In the reflection phenomenon, the wave does not continue moving forward.

Diffraction is the bending of the light around the obstacle. In the diffraction phenomenon, the wave travels forward after striking around the obstacle.

Therefore, the correct answer is A.

(2)

Amplitude is the maximum displacement in the medium from the rest position.

The amount of energy is related to the amplitude. Amplitude is related to the amount of energy carried by the wave. Low energy wave is characterized by a low amplitude. High energy wave is characterized by a high amplitude.

Therefore, the correct option is D.

5 0

2 years ago

Read 2 more answers

A cylindrical Nickel rod (9 mm diameter, 50 m long) is pulled in tension with a load of 6,283 N. What would the elongation of th

Norma-Jean [14]

Answer:

0.29 m

Explanation:

9 mm = 0.009 m in diameter

Cross-sectional area $A = \pi d^2/4 = \pi * 0.009^2/4 = 6.36\times 10^{-5} m^2$

Let the tensile modulus of Nickel $E = 170 \times 10^9Pa$ .

The elongation of the rod can be calculated using the following formula:

$\Delta L = \frac{F L}{A E} = \frac{6283*50}{6.36\times 10^{-5} * 170 \times 10^9} = \frac{314150}{1081200} = 0.29 m$

6 0

3 years ago

State the law of refraction

IgorLugansk [536]

Answer:

The law of refraction states that the incident ray, the refracted ray, and the normal to the interface, all lie in the same plane.

Explanation:

8 0

2 years ago

Read 2 more answers

Two people are standing on a 1.75-m-long platform, one at each end. The platform floats parallel to the ground on a cushion of a

Fiesta28 [93]

Answer:

0.05312 m

Explanation:

Given:

Length of platform L = 1.75 m

mass of ball m_b = 5.76 kg

mass of (people + platform) m_p = 184 kg

Initial Velocity of ball V_i,b = 0

Initial Velocity of ball (people + platform) V_i,p = 0

Find:

How far does the platform recoils to rest

Solution:

Using the conservation of momentum on ust before and after the ball was thrown P_i = P_f :

Where, P_i = 0 (initially at rest)

P_f = m_p*V_f,p + m_b * V_f,b

0 = m_p*V_f,p + m_b * V_f,b

V_f,p = - (m_b /m_p) * V_f,b

V_f,p = - (5.76 / 184)*V_f,b

V_f,p = - 0.0313*V_f,b ....1

The time the ball is in air:

t = L / (V_f,b - V_f,p) ...2

The distance that the platform moves d:

d = V_f,p *t ....3

Substitute 2 into 3

d = V_f,p*L /(V_f,b - V_f,p) .... 4

Solve 1 and 4 simultaneously :

d = - m_b*L / (m_b + m_p)

d = - 5.76*1.75 / (5.76 + 184)

d = -0.05312 m

The platform moves 0.05312 m to the opposite to which the ball is thrown.

5 0

2 years ago

A heat engine: A) converts heat input to an equivalent amount of workB) converts work to an equivalent amount of heat C) takes h

Masja [62]

Answer:

C. Takes heat in, does work, and loses energy heat.

Explanation:

Heat engine is a system makes use of thermal energy (heat) to in order to do mechanical work.

This occurs by converting the heat into mechanical energy. This energy is then used to do work.

The key characteristic of a heat engine is that the substance with which work is done by, goes from a higher temperature to a lower temperature.

Hence, it loses heat as it does work.

3 0

2 years ago