Answer: W = 0.8 J
Explanation:
At 0.12 m the force is 3.0 N
At 0.28 m the force is 7.0 N
The distance of stretch is 0.28 - 0.12 = 0.16 m
The AVERAGE force is (3.0 + 7.0) / 2 = 5.0 N
The work is
W = Fd = 5.0(0.16) = 0.8 J
or
A formula guy might find the slope of the line
k = 7 N / 0.28 m = 25 N/m
PS = ½kx²
PS = ½(25)0.28² - ½(25)0.12² = 0.8 J
or
A charts gal might realize that the work is the area under the curve between the limits
W = A = (0.28 - 0.12)[3.0 + ½(7.0 - 3.0)] = 0.8 J
or
A math guy might find an equation for the line and integrate between the limits.
y = 25x
W = for b = 0.12 and a = 0.28
W = 12.5x² | for b = 0.12 and a = 0.28
W = 12.5(0.28)² - 12.5(0.12)²
W = 0.8 J
Answer:
Sleep, behavior patterns, mental state, and job
Explanation:
Answer:
11.34 m/s
Explanation:
Force F = 25 N
Lenght of application l = 16.5 cm = 0.165 m
Time of application t = 1 sec
Radius of wheel r = 33.0 cm = 0.33 m
Moment of inertia I = 1200 kg·cm^2 = 0.12 kg-m^2
Let us assume he rides a fixed gear bicycle so that one revolution of the pedal is equal to one revolution of the tire
Solution:
Torque T on pedal = F x l = 25 x 0.165 = 4.125 N-m
Rotational impulse = T x t = 4.125 x 1 = 4.125 N-m-s
Initial momentum of wheel = 0 (since it start from rest)
Final momentum of wheel = I x w
Where w = angular speed
I x w = 0.12w
Change of momentum = 0.12w - 0 = 0.12w
Rotational impulse = momentum change
4.125 = 0.12w
w = 4.125/0.12 = 34.375 rad/s
Tangential velocity of wheel = angular speed x radius of wheel
V = w x r = 34.375 x 0.33 = 11.34 m/s
Answer:
hearing range for a healthy young person is 20- 20,000 hertz. The highest frequency for a normal middle aged man is 12-14 kilohertz.
The particles that are usually in a much higher energy usually comes from the magnetic field of the Earth in which it is trapped consisting the Van Allen radiation belts. In addition to that, these radiation belts are somewhat essential because it protects satellites orbiting the Earth from the Sun's high energy radiation.