Answer question 4. Show work and explain for upvote. 1. horizontal floor. The co

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Answer question 4. Show work and explain for upvote.

1. horizontal floor. The coefficient of friction between the ladder and the floor is s. A man o mass M climbs the ladder. What height h can he reach before the ladder slips? A massless ladder of length L leans against a smooth wall making an angle of 0 with the 2. Julie has be of the ap attached break if the tension ex while standing 1 m from the end of the plank. If Julie's mass is 60 kg and the plank has a mass of 20 kg, then over what range of positions can Julie stand to join her boss without causing the parat at each end. Julie knows from previous experience that the ropes being used will en hired to help paint the trim of a building, but she is not convinced of the safety us. A 5.0-m plank is suspended horizontally from the top of the building by ropes ceeds 1 kN. Her 80-kg boss dismisses Julie's worries and begins painting ropes to break? 3. A 4-kg mass is supported by a steel wire of diameter 0.6 mm and length 1.2 m. How much will the wire stretch under this load? e period of the earth (1 y), its mean orbital radius (1.496 x 101" m), and the value of G 4. Use th to calculate the mass of the sun 5. A spacecraft of 100-kg mass is in a circular orbit about the earth at a height h 2RE. (a) What is the period of the spacecraft's orbit about the earth? (b) What is the spacecraft's kinetic energy? (c) Express the angular momentum L of the spacecraft about the center of the earth in terms of its kinetic energy K and find its numerical value. 6. The average density of the moon is p 3340 kg/m3. Find the minimum possible period T of a spacecraft orbiting the moon

Explanation / Answer

4)

given,

time period, T=1year

radius, r=1.496*10^11

let,

mass of the sun is m1

mass of the earh is m2

use,

G*m1*m2/r^2 =m2*v^2/r

G*m1/r =v^2

G*m1/r = (2pi*r/T)^2

6.67*10^-11*m1/(1.496*10^11)=((2pi*1.496*10^11)/(365*24*60*60))^2

===> m1=1.99*10^30 kg or 2*10^30 kg

mass of the sun, m1=2*10^30 kg

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