9514 1404 393
Answer:
1.114 kg/m³
Explanation:
The total mass of the air in the balloon and the balloon + cargo will be the mass of the displaced air. If d is the density of the air in the balloon, then we have ...
2910d +308 = 2910×1.22
Solving for d, we find ...
2910d = 2919(1.22) -308
d = 1.22 -308/2910
d ≈ 1.114 . . . kg/m³
The density of the hot air is about 1.114 kg/m³.
Let's think about the meaning of k, the spring's constant. Hooks law states:
or, rewriting it:
where F is the force applied by the spring when we compress/release it of a certain amount of displacement x.
As we can see from the formula, the higher the value of k, the stronger is the force of the spring when we compress it of a certain fixed value x, so it will be more difficult to compress it with respect to a spring with smaller k. This means that the higher k, the stiffer is the spring.
The mechanical advantage of the bicycle is 0.1.
<u>Explanation:</u>
A simple machine is a machine that produces the output if we give the required input, and so the output always depends on the input force. Sometimes machines can also reduce the input force to get the required output and the ratio of output to input force is called as the mechanical advantage.
MA =
Now we have the input force = 697 N
Output force = 93 N
So Mechanical advantage can be calculated by inserting those values as, MA =
= 0.1
So the mechanical advantage of the bicycle is 0.1.