A) change in ht after 180m = 180 * sin(4-deg.) = 12.56m
net work done by gravity on the cyclist = mass * gravity * height diff.
= 85 * 9.8 * 12.56
= 10470J
= 10.5kJ
B) Kinetic energy = 1/2 * mass * vel.^2 = work done by gravity = 10470J
vel.^2 = 10470 * 2 / 85 = 246.4
vel. = 15.7m/s
The new pressure P2 is 2.48 atmosphere.
<u>Explanation:</u>
Here, the one of the product of pressure and volume is equal to the products of pressure and volume of other.
By using Boyles's law,
pressure is inversely proportional to volume,
P1 V1 = P2 V2
where P1, V1 represents the first pressure and volume,
P2, V2 represents the second pressure and volume
P2 = (P1 V1) / V2
= (1.75
8.8) / 6.2
P2 = 2.48 atmosphere.
Answer:

Explanation:
Given that:
mass of object A, 
mass of object B, 
speed of object A, 
So, according to the conservation of momentum, the momentum before collision is equal to the momentum after conservation.



