In this problem, we use moment balance to get how far the boat moves. In this case, we multiply the mass of an object multiplied by the distance of the object. In this case, the balance goes:
1326 kg * 6.5 m = 1.2 x 104 kg * x where x is the distance
x is equal to 0.71825 meters.
Answer:
The angular speed of the reel is 11.33 rad/s
Explanation:
Given
The fisherman takes t = 8.4 s to wind distance x = 2.9 m into a circle radius of r = 3 cm = 0.03 m
Than the tangencial speed equals the change in the distance to the time
v =
= ![\frac{2.9 m}{8.4 s} = 0.34 \frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7B2.9%20m%7D%7B8.4%20s%7D%20%3D%200.34%20%5Cfrac%7Bm%7D%7Bs%7D)
Knowing the tangencial velocity is proportional to the radius r and the angular velocity
v = r*w
w = ![\frac{0.34 m/s}{0.03 m} = 11.33 \frac{rad}{s}](https://tex.z-dn.net/?f=%5Cfrac%7B0.34%20m%2Fs%7D%7B0.03%20m%7D%20%3D%2011.33%20%5Cfrac%7Brad%7D%7Bs%7D)
Calorimetry is used to measure the amount of heat given off by an organism.
Answer:
<em>The first option best compares both ramps: "It takes less effort to wheel boxes up the 5 m ramp, but the distance is greater"</em>
Explanation:
Power and Work
If an object is being lifted by a vertical distance y, the work done by the agent is the same regardless of the path taken to reach that heigh. But the power could be different since it depends on the time needed to do the work.
The question talks about 'effort' which we'll assume to be the power, since, as noted above, the work is the same by using any of the ramps. The 5 m ramp makes the job easier because the worker has to push less. It's due to the fact that the component of the weight depends on the sine of the angle formed by the ramp with the floor. The larger ramp makes a shorter angle, thus requiring less effort, through a longer distance.
Thus, the first option best compares both ramps:
<em>It takes less effort to wheel boxes up the 5 m ramp, but the distance is greater</em>