Answer:
The horse father from the center has a greater tangential speed. Although both horses complete one circle in the same time period, the one farther from the center covers a greater distance during that same period.
Explanation:
Answer:
Total distance = 700 m
Displacement = 500 m
Explanation:
Notice that Jed travelled a total of 3 x 100 m = 300 m in the North direction, and 300 m + 100 m = 400 m in the East direction. Therefore the total distance he travelled is: 300 + 400 = 700 m.
But the actual displacement is given by the Pythagorean theorem as the hypotenuse of a right angle triangle of legs 300 m and 400 m:
displacement = ![\sqrt{300^2+400^2} =\sqrt{250000} =500\,m](https://tex.z-dn.net/?f=%5Csqrt%7B300%5E2%2B400%5E2%7D%20%3D%5Csqrt%7B250000%7D%20%3D500%5C%2Cm)
Answer:
Almost all machines require energy to offset the effects of gravity, friction, and air/wind resistance. Thus, no machine can continually operate at 100 percent efficiency.
Answer:
ω = 1.83 rad/s clockwise
Explanation:
We are given:
I1 = 3.0kg.m2
ω1 = -5.4rad/s (clockwise being negative)
I2 = 1.3kg.m2
ω2 = 6.4rad/s (counterclockwise being positive)
By conservation of the momentum:
I1 * ω1 + I2 * ω2 = (I1 + I2) * ω
Solving for ω:
![\omega = \frac{I1 * \omega1 + I2*\omega2}{I1+I2}=-1.83rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7BI1%20%2A%20%5Comega1%20%2B%20I2%2A%5Comega2%7D%7BI1%2BI2%7D%3D-1.83rad%2Fs)
Since it is negative, the direction is clockwise.