A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates vertically in SHM . The amplitude is 0.050 m, and at the highest point of the motion the spring has its natural unstretched length. Calculate the elastic potential energy of the spring (take it to be zero for the unstretched spring), the kinetic energy of the cat, the gravitational potential energy of the system relative to the lowest point of the motion, and the sum of these three energies when the cat is (a) at its highest point; (b) at its lowest point; (c) at its equilibrium position.
A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates vertically in SHM . The amplitude is 0.050 m, and at the highest point of the motion the spring has its natural unstretched length. Calculate the elastic potential energy of the spring (take it to be zero for the unstretched spring), the kinetic energy of the cat, the gravitational potential energy of the system relative to the lowest point of the motion, and the sum of these three energies when the cat is (a) at its highest point; (b) at its lowest point; (c) at its equilibrium position.
A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates vertically in SHM. The amplitude is 0.050 m, and at the highest point of the motion the spring has its natural unstretched length. Calculate the elastic potential energy of the spring (take it to be zero for the unstretched spring), the kinetic energy of the cat, the gravitational potential energy of the system relative to the lowest point of the motion, and the sum of these three energies when the cat is (a) at its highest point; (b) at its lowest point; (c) at its equilibrium position.
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
Need help with the third question (C)A gymnast weighing 68 kg attempts a handstand using only one arm. He plants his hand at an angl reesulting in the reaction force shown.
Q: What is the direction of the force on the current carrying conductor in the
magnetic field in each of the cases 1 to 8 shown below?
(1)
B
B
B into page
X X X
x
X X X X
(2)
B
11 -10°
B
x I
B
I out of page
(3)
I into page
(4)
B out of page
out of page
I
N
N
S
x X X X
I
X
X X X
I
(5)
(6)
(7)
(8)
S
Q: What is the direction of the magnetic field at point A, due to the current I in a
wire, in each of the cases 1 to 6 shown below? Note: point A is in the plane of the
page.
▪A
I
I
▪A
(1)
(2)
▪A
• I (out of page)
(3)
▪A
I
x I (into page)
▪A
▪A
I
(4)
(5)
(6)
Chapter 14 Solutions
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