Given the potential energy of 100 J, the height of the hill is 0.128 m (12.8 cm)
Explanation:
The gravitational potential energy of an object is given by:

where
m is the mass of the object
g is the acceleration of gravity
h is the heigth of the object, relative to the ground
In this problem, we have
U = 100 J is the potential energy of the person
is the acceleration of gravity
m = 80 kg is the mass of the person
Solving for h, we find at what height the person is:

Learn more about gravitational potential energy here:
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What happens to has when it cools is ...
Step 1) They will start to form liquids, like condensation.
Step 2) As liquids cool, they will turn into solids.
Step 3) As solids cool, they become more stable and solid.
Answer:
m/s²
m/s²


Explanation:
Normal or centripetal acceleration measures change in speed direction over time. Its expression is given by:
Formula 1
Where:
: Is the normal or centripetal acceleration of the body ( m/s²)
v: It is the magnitude of the tangential velocity of the body at the given point
.(m/s)
r: It is the radius of curvature. (m)
Newton's second law:
∑F = m*a Formula ( 2)
∑F : algebraic sum of the forces in Newton (N)
m : mass in kilograms (kg)
Data




r= 120 m
Problem development
We replace data in formula (1) to calculate centripetal acceleration:

m/s²

m/s²
We replace data in formula (2) to calculate centripetal force Fc) :




Answer:
0.07142 m/s in the opposite direction of the bullet
Explanation:
= Mass of rifle = 70 kg
= Mass of bullet = 0.01 kg
= Velocity of rifle
= Velocity of bullet = 500 m/s
As the momentum of the system is conserved

The recoil velocity of the rifle is -0.07142 m/s
The negative sign shows the opposite direction of the rifle.