Lets write again formula for determening Ann's performance.
P = 70.443 + 4,885*t
where t is in hours. This is equation with P(t) which means that P only depends on variable t. If we express t=2.6 in formula we will find her expected performance.
P = 83.144
Now, since it says that she scored 16 points less than expected we need to find value of P-16
P - 16 = 67.144
After round we get that the answer is 67
Answer:
The mass of the another block is 60 kg.
Explanation:
Given that,
Mass of block M= 100 kg
Height = 1.0 m
Time = 0.90 s
Let the mass of the other block is m.
We need to calculate the acceleration of each block
Using equation of motion
![s=ut+\dfrac{1}{2}at^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
Put the value into the formula
![1.0=0+\dfrac{1}{2}\times a\times(0.90)^2](https://tex.z-dn.net/?f=1.0%3D0%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%280.90%29%5E2)
![a=\dfrac{2\times1.0}{(0.90)^2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B2%5Ctimes1.0%7D%7B%280.90%29%5E2%7D)
![a=2.46\ m/s^2](https://tex.z-dn.net/?f=a%3D2.46%5C%20m%2Fs%5E2)
We need to calculate the mass of the other block
Using newton's second law
The net force of the block M
![Ma=Mg-T](https://tex.z-dn.net/?f=Ma%3DMg-T)
....(I)
The net force of the block m
![ma=T-mg](https://tex.z-dn.net/?f=ma%3DT-mg)
Put the value of T from equation (I)
![ma=Mg-Ma-mg](https://tex.z-dn.net/?f=ma%3DMg-Ma-mg)
![m(a+g)=M(g-a)](https://tex.z-dn.net/?f=m%28a%2Bg%29%3DM%28g-a%29)
![m=\dfrac{M(g-a)}{(a+g)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7BM%28g-a%29%7D%7B%28a%2Bg%29%7D)
Put the value into the formula
![m=\dfrac{100(9.8-2.46)}{2.46+9.8}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B100%289.8-2.46%29%7D%7B2.46%2B9.8%7D)
![m=59.8\ \approx60\ kg](https://tex.z-dn.net/?f=m%3D59.8%5C%20%5Capprox60%5C%20kg)
Hence, The mass of the another block is 60 kg.
It still has a definite temperature.
Answer:
a. the brick's volume was 0.96 liters.
Explanation:
A brick is denser than water, so it sinks. So the volume of water the brick displaces is equal to the brick's total volume.