Complete Question
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Answer:
The value is 
Explanation:
From the question we are told that
The mass of the rock is 
The length of the string is 
The angle the string makes horizontal is 
The angle which the projection of the string onto the xy -plane makes with the positive x-axis is 
The angular velocity of the rock is 
Generally the radius of the circle made by the length of the string is mathematically represented as
=> 
=> 
Generally the resultant tangential velocity is mathematically represented as
=> 
=> 
Generally the tangential velocity along the x-axis is
=> 
=> 
The negative sign show that the velocity is directed toward the negative x-axis
Generally the tangential velocity along the y-axis is
=> 
=> 
Generally the tangential velocity along the y-axis is
=> 
Generally the tangential velocity at that instant is mathematically represented as
It could help transport important information
Answer:
V = (-32t +32) ft/s
The velocity of the bowling ball after t seconds is the time derivative of the position function s(t). To obtain the velocity from s(t) we simply differentiate s(t) with respect to t. That is
V = ds(t)/dt = -16×2t + 32×1 = -32t + 32.
When differentiating, you multiply the coefficient of each term in the equation with the power of the variable and then reduce the power by 1 just like above.
Explanation:
The average fixed cost per unit at an activity level of 5,200 units is $6.00.
<h3>What is the average fixed cost?</h3>
The average fixed cost (AFC) is fixed cost that does not change with the change in the number of goods and services produced by a company. To put it in a nutshell, average fixed cost (AFC) is the fixed cost per unit and is calculated by dividing the total fixed cost by output level.
Since no cost is fixed for a long time, average fixed cost is only for a short run. When units of production increase, the average fixed cost per unit decreases. Similarly, when the business produces less units, average cost increases per unit.
However, only one unit, mostly capital, is fixed. Examples of average fixed cost are the salaries of permanent employees, mortgage payment on machinery and plant, rent, more.
Average Fixed Cost Formula:
AFC = Total fixed cost/Output (Q)
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49 J is the total kinetic energy. If a bowling ball of mass 7.3 kg and radius 9.6 cm rolls without slipping down a lane at 3.1 m/s. Kinetic energy is the energy an bowling ball has because of its motion.
Given: m = 7.3 Kg ; r = 9.4 cm = 0.094 m ; v = 3.1 m
Now total kinetic energy in this case is given by KE = Kinetic energy due to rotation + Kinetic energy due to translation
i,e KE = 1/2*m*v2 + 1/2*I*ω2 where I is the moment of inertia of the bowling ball about it's center and ω is the angular velocity
Now for pure rotation (without slipping) v = rω
also for the ball (solid sphere) I = 2/5*m*r2
Hence our kinetic energy becomes
KE = 1/2*m*v2 + 1/5*m*v2 = 7/10*m*v2
so KE = 0.7*7.3*(3.1)2 = 49.10 J = 49 J
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