Answer:
(a) 1.08 m
(b) 1.06 m
Explanation:
<u>Step 1:</u> calculate the center of gravity from 20kg mass
Let the center of gravity from 20kg mass = X
Applying the principle of moment; clockwise moment = ant-clockwise moment
20*X = 35*(1.7-X)
20X = 59.5 - 35X
55X = 59.5
X = 59.5/55
X = 1.08 m
Ignoring the weight of the bar, the center of gravity is 1.08m from left end of the barbell.
<u>Step 2:</u> calculate the center of gravity from 20kg mass, if the 8.0kg mass of the barbell in considered.
Applying the principle of moment


20X +2.353X = 59.5 -35X + 4 - 2.353X
59.706X = 63.5
X = 63.5/59.706
X = 1.06 m
considering the weight of the bar, the center of gravity is 1.06m from left end of the barbell.
The correct answer to the question is : 4000 N
EXPLANATION:
As per the question, the mass of the roller coaster is given as m = 2000 kg
The acceleration of the roller coaster is given as a = 2m/s2
We are asked to calculate the net force acting on the roller coaster.
From Newton's second laws of motion,we know that net external force acting on a particle is equal to the product of mass with acceleration of the particle.
Mathematically it is written as-
F = ma
Hence,net force acting on the roller coaster is calculated as-
F = 2000Kg×2m/s2
= 4000 N.
Here, Newton (N) is the unit of force.
Hence,net force acting on the roller coaster is 4000 N.
Part A)
As we know that spring force is given by
F = kx
here x = stretch in the spring from natural length
So here when spring reaches to its natural length
Force due to spring = 0
so acceleration = 0
Part b)
When spring is compressed from its natural length it will have elastic potential energy in it
so it is given by

now we know that there is no friction in it so maximum kinetic energy of the launcher must be equal to the elastic potential energy of the spring

here we have
k = 70 N/m
x = 0.4 m


Part c)
Now to find the speed we know that



so its speed is 6.11 m/s
Answer:
Percent of Female Workers = 40%
Explanation:
The percentage of the female workers in the given group of workers can be easily found by the following formula:

where,
Total No. of Workers = 1200
No. of Female Workers = Total Workers - No. of Male Workers
No. of Female Workers = 1200 - 720 = 480
Therefore,

<u>Percent of Female Workers = 40%</u>
Answer:652.05 J
Explanation:
Given
Weight of lifter 
vertical distance move 
Work done in lifting the weight is equal change in Potential Energy of weight
Change in Potential Energy 

therefore work done is equal to