(a) The value of the gravitational acceleration is given by:

where
is the gravitational constant
M is the Earth's mass
is the Earth's radius at the pole
If we use the value for g given by the problem,
, and we rearrange the equation above, we find the value of the Earth's mass:

(b) The value we found for the Earth's mass is
, and we see that this value is slightly larger than the accepted value of
.
Answer:
2.6645m
Explanation:
applying motion equations we can find the answer,

Let assume ,
u = starting speed(velocity)
v = Final speed (velocity)
s = distance traveled
a = acceleration
by the time of reaching the highest point subjected to the gravity , the speed should be equal to zero
we consider the motion upwards , in this case the gravitational acceleration should be negative in upwards (assume g =10 m/s2 downwards)
that is,

Answer:
-Increase in temperature: increase
-Decrease in temperature: decrease
-Increase in volume: increase
-Decrease in volume: decrease
-Increase in pressure: increase
-Decrease in pressure: decrease
Explanation:
-Increase in temperature:
● Molecules gain kinetic energy and move fast thus increasing distance
-Decrease in temperature:
● Kinetic energy of molecules decrease so they have smaller distance
-Increase in volume:
● Molecules have more space to move around so distance increase
-Decrease in volume:
● Less space, molecules collide with each other because of decreased distance thus increasing pressure
-Increase in pressure
● Molecules collide with each other and the walls of container increasing pressure so molecules move faster and it increases distance
-Decrease in pressure:
● Molecules collide with each other and walls of container less frequently so distance between molecules decrease
Answer:

Explanation:
From the question we are told that:
Mass 
Spring constant 
Amplitude 
Generally the equation for displacement d is mathematically given by

Where




Therefore
