Gravitational Potential energy is given by the formula
so it is product of weight of object and its height
for PE of cat weight is given as 300 N at height 6 m
on other side we will have a bird of 50 N weight with height 50 m
now here we can see that it depends on the product of weight and height both
so here PE of bird will be more than the PE of Cat
Answer:
a) T = 2.997 s
b) K = 14.3 J
c) φ = 0.444 rad
Explanation:
a) Determine its period
The pendulum simple’s period is:
T = 2π
Where l: Pendulum’s length
g = 9.8 m/s2
T = 2π
T = 2.997 s
b) Total energy
Initially his total energy is kinetic
K =
K =
K = 14.3 J
c) Maximum angular displacement
φ =
φ =
φ = 0.444 rad
Answer:
The conservation of energy should be used to answer this question.
a)
At the position where the spring is unstretched, the elastic potential energy of the spring is zero.
since and
is equal to zero.
The roots of this quadratic equation can be solved by using discriminant.
We should use the positive root, so
x = 0.292 m.
b)
We should use energy conservation between the point where the spring is momentarily at rest, and the point where the spring is unstretched.
since the kinetic energy at point 2 and the potential energy at point 3 is equal to zero.
Explanation:
In questions with springs, the important thing is to figure out the points where kinetic or potential energy terms would be zero. When the spring is unstretched, the elastic potential energy is zero. And when the spring is at rest, naturally the kinetic energy is equal to zero.
In part b) the cookie slides back to its original position, so the distance traveled, x, is equal to the distance in part a). The frictional force is constant in the system, so it is quite simple to solve part b) after solving part a).