Answer:
v = ω R
number of seconds in 24 hrs = 24 * 3600 = 86400 s / da = T (period)
f = 1 / T
ω = 2 Π f = 2 Π / T = 2 Π / 86400
v = 2 Π / 8.64E4 * 6.0E6 = 436 m / s
Check:
S = 2 Π * 6.0E6 = 3.77E7 m/da
S / T = 3.77E7 m/da / 8.64E4 s/da = 436 m / s
Answer:
(none of the options is correct... see below)
Explanation:
Recall that frequency, wavelength and speed are related by
Velocity (i.e speed) = frequency x wavelength
in our case
Speed = 270 Hz x 60m = 16,200 m/s
Answer:
The fraction of kinetic energy lost in the collision in term of the initial energy is 0.49.
Explanation:
As the final and initial velocities are known it is possible then the kinetic energy is possible to calculate for each instant.
By definition, the kinetic energy is:
k = 0.5*mV^2
Expressing the initial and final kinetic energy for cars A and B:
Since the masses are equals:
For the known velocities, the kinetics energies result:
The lost energy in the collision is the difference between the initial and final kinectic energies:
Finally the relation between the lost and the initial kinetic energy:
Answer;
= 0.244 seconds
Explanation;
500 rpm is equivalent to; 1500 × 2π radians per minute
= 9424.8 rad/minute
To get revolutions per second we divide by 60
= 9424.8/60
= 157.08 radians per second.
Then we divide by 64.3 rad/s^2 to get time;
= 157.08/64.3
= 0.244 seconds.
Answer:
Net force equals 0
Explanation:
Newton's first law states that an object at rest tends to remain at rest, and an object in motion tends to remain in motion with a constant velocity (constant speed and direction of motion), unless it is acted on by a nonzero net force. Note that the net force is the sum of all the forces acting on an object.
