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fenix001 [56]
3 years ago
15

A block with mass m1 = 4.50 kg and a ball with mass m2 = 7.70 kg are connected by a light string that passes over a frictionless

pulley, as shown in figure (a). The coefficient of kinetic friction between the block and the surface is 0.300. 
(a) Find the acceleration of the two objects and the tension in the string. 
(b) Check the answer for the acceleration by using the system approach. (Use the following as necessary: m1, m2, μk, and g.) 
(c) What if an additional mass is attached to the ball? How large must this mass be to increase the downward acceleration by 60%? 

For (a) I calculated acceleration to be 5.10 m/s^2 and tension to be 36.2N. 
For (b) I the equation is a = (m2g-ukm1g)/(m1+m2) 
It is (c) that I cannot figure out. Can anybody please help me?
Physics
1 answer:
Allisa [31]3 years ago
4 0
1.6a =  \frac{g(m_2 + m_3 - \mu km_1)}{m_1 + m_2 + m_3}  \\  \\ 1.6a(m_1 + m_2 + m_3) = g(m_2 + m_3 - \mu km_1) \\  \\ (1.6a + \mu kg)m_1 + (1.6a - g)m_2 = (g - 1.6a)m_3 \\  \\ m_3 =  \frac{1.6a +\mu kg}{g - 1.6a} m_1 - m_2 \\  \\ m_3 = 22.57 kg
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Sonja [21]
So first we find the gap between the slits by the formula d=1/N 

<span>N is number of lines per metre so 3700 line/cm = 370000 lines/m </span>
<span>So d=2.7*10^-6 </span>

<span>Now we use the formula dsin(angle)=n(wavelength) </span>

<span>d is the same </span>
<span>n is the order of the diffraction pattern </span>

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<span>=[(2.7*10^-6)*sin30]/3 </span>
<span>=4.5*10^-7 m</span>
7 0
3 years ago
1) Halving the distance (i.s., decreasing by a factor of two) between two charged objects will cause the electrical force betwee
Vedmedyk [2.9K]

Answer:

Explanation:

For an electric force, F the formula:

F = kQq/r^2

Given:

r2 = 1/2 × r1

F1 × r1 = k

F1 × r1 = F2 × r2

F2 = (F1 × r1^2)/(0.5 × r1)^2

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= 4 × F1.

7 0
3 years ago
A wave is travelling at 3000 m/s has a wavelength of 1 m.
Levart [38]

Answer:

a] 3000hz

b]3.33 × 10⁻⁴

ci]300

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3 0
3 years ago
A circular loop of wire with 10 turns, radius 0.241 m and resistance 0.235 Ohms is connected to a 13.1 V power supply. The magne
SVETLANKA909090 [29]

Given Information:  

Resistance of circular loop = R = 0.235 Ω 

Radius of circular loop = r = 0.241 m

Number of turns = n = 10

Voltage = V = 13.1 V

Required Information:  

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Answer:  

Magnetic field = 0.00145 T

Explanation:  

In a circular loop of wire with n number of turns and radius r and carrying a current I induces a magnetic field B

B = μ₀nI/2r

Where μ₀= 4πx10⁻⁷ is the permeability of free space  and current in the loop is given by

I = V/R

I = 13.1/0.235

I = 55.74 A

B = 4πx10⁻⁷*10*55.74/2*0.241

B = 0.00145 T

Therefore, the magnetic field at the center of this circular loop is 0.00145 T

8 0
3 years ago
What type of image can a convex mirror produce?
user100 [1]

It must be a virtual image, because this is the only kind of image it can produce.

4 0
3 years ago
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