Formula to find gravitational potential energy:
mgh
m: mass
g: gravitational acceleration
h: height (relative to reference level)
so the P.E. at 1.0.m is (5x9.8x1)= 49J
P.E. at 1.5m is (5x9.8x1.5) =73.5J
P.E. at 2.0m is (5x9.8x2)=98J
The Young modulus E is given by:

where
F is the force applied
A is the cross-sectional area perpendicular to the force applied

is the initial length of the object

is the increase (or decrease) in length of the object.
In our problem,

is the initial length of the column,

is the Young modulus. We can find the cross-sectional area by using the diameter of the column. In fact, its radius is:

and the cross-sectional area is

The force applied to the column is the weight of the load:

Now we have everything to calculate the compression of the column:

So, the column compresses by 1.83 millimeters.
Answer:
False.
Explanation:
Kinetic energy means it must move
Using the cosine rule (a^2 = b^2 + c^2 - 2bc cos A), we can work out the displacement:
Displacement = a
b = 30
c = 50
A = 180 - 35 = 145 degrees.
a^2= 900 + 2500 -1500*-0.81915...
= 3400 + 1228.728...
= 4628.72...
a = 68.034...
= 68.0m (to 3s.f.).
To work out the angle from starting place, use another configuration of the cosine rule:

:
cos (C)=

= 3028.7.../4080
= 0.7423...
C = 42.069... degrees
= 042 bearing
Answer:
608.4m/s
Explanation:
We are given that
Mass of Sleigh,M=1200 kg
Speed of Sleigh,u=322 m/s
Speed of jet,u'=680 m/s
Mass of jet,m=4800 kg
Total mass=M+m=1200+4800=6000 kg
We have to find the final velocity of the two objects after the collision.
The collision is inelastic .
By using law of conservation of momentum

Using the formula




Hence, the final velocity of two objects after the collision=608.4m/s