Answer:
5.5 kg
Explanation:
The gravitational potential energy of an object is given by
where
m is its mass
g is the acceleration of gravity
h is the height of the object above the ground
For the rock in the problem, we know:
h = 12 m is the height above the ground
U = 650 J
g = 9.8 m/s^2
Therefore, we can solve the equation for m, the mass of the rock:
Answer:
at R/
Explanation:
The free-fall acceleration at the surface of Earth is given by
where
G is the gravitational constant
M is the Earth's mass
R is the Earth's radius
The formula can be rewritten as
(1)
We want to shrink the Earth at a radius R' such that the acceleration of gravity becomes 3 times the present value, so
g' = 3g
Keeping the mass constant, M, and substituting into the equation, we have
let here North direction is along +Y and South direction is along -Y
similarly East direction is towards +X and west direction is towards -X
now it is given that
first it moves 235 km north
then it moves back 126 km south
then again he moves north
now the total displacement is given as
so final displacement of train is 154 km North
Explanation:
The given data is as follows.
mass (m) = 0.160 kg, spring constant (k) = 8 n/m,
Maximum speed () = 0.350 m/s
Formula for angular frequency is as follows.
= 7.07 rad/sec
(a) Formula to calculate the amplitude is as follows.
A =
=
= 0.05 m
Hence, value of amplitude is 0.05 m.
(b) Displacement = 0.030 m
Formula for mechanical energy is as follows.
M.E =
Putting the values into the above formula as follows.
M.E =
=
= Joule
For x = 0.03,
As, P.E =
=
=
Hence, calculate the kinetic energy as follows.
K.E = M.E - P.E
= ( -
) J
= J
Thus, we can conclude that kinetic energy of the puck when the displacement of the glider is 0.0300 m is J.