Answer:
85.8 m/s
Explanation:
We know that the length of the circular path, L the plane travels is
L = rθ where r = radius of path and θ = angle covered
Now,its speed , v = dL/dt = drθ/dt = rdθ/dt + θdr/dt
where dθ/dt = ω = angular speed = v'/r where v' = maximum speed of plane and r = radius of circular path
Now, from θ = θ₀ + ωt where θ₀ = 0 rad, ω = angular speed and t = time,
θ = θ₀ + ωt = 0 + ωt = ωt
So, v = rdθ/dt + θdr/dt
v = rω + ωtdr/dt
v = (r + tdr/dt)ω
v = (r + tdr/dt)v'/r
v = v' + tv'/r(dr/dt)
v = v'[1 + t(dr/dt)/r]
Given that v' = 110 m/s, t = 33.0s, r = 120 m and dr/dt = rate at which line is shortened = -0.80 m/s (negative since it is decreasing)
So, v = 110 m/s[1 + 33.0 s(-0.80 m/s)/120 m]
v = 110 m/s[1 + 11.0 s(-0.80 m/s)/40 m]
v = 110 m/s[1 + 11.0 s(-0.02/s)]
v = 110 m/s[1 - 0.22]
v = 110 m/s(0.78)
v = 85.8 m/s
Answer:
Explanation:
The source of all forms of energy found on the earth except nuclear energy is the sun . So energy used by us to do daily activities also comes from the sun .
The plants trap the solar energy in the form of light to make food material for us like sugar , carbohydrates etc . This energy is stored here in the chemical bonds formed in them.
We take this food in the form of carbohydrate, fat etc. We digest it to mix this food carbohydrate in blood . It is further broken down on being absorbed by the cell in our body . They break them to produce a compound like ATP ( adenocine triphosphate ) which is energy rich compound . It is converted into ADP and difference of energy is released . This energy is used by us in moving body parts.
A Belgian Astronomer and Cosmotologist who formulated the modern Big Bang theory, which states that the universe began in a cataclysmic explosion of a small, primeval “super-atom”
Answer:
To find the quickest path to the ground
Explanation:
Answer:
A. 42.3 revolution per minute
B. Centripetal Force
Explanation:
20 g = 0.02 kg
5 cm = 0.05 m
Let g = 9.8 m/s2
A.The friction force acting on the eraser is the product of normal force and its coefficient:
For the eraser to begin slipping, its centripetal acceleration must win over the acceleration created by friction force, which is
We can calculate the angular velocity from this:
where r = 0.05 is the radius of rotation, which is distance from the center to the eraser
If it spins and angle of 4.43 rad per second then for every minute (60 seconds) it would spin an angle of 4.43 * 60 = 265.6 rad/min
Since 1 revolution is 2π rad, then in a minute it would spin 265.6 / 2π = 42.3 revolution/minute
B. The force responsible for making the eraser go faster while the turntable is spinning up would be the centripetal force.
