A simple pendulum, with a 1.1 kg mass and length 23 cm, us rekeased frin rest at an angle of 40 degrees. Assume there is no loss of energy due to friction and air resistance.
a) To what height does the mass swing on the other side?
b) What is the speed of the mass at the bottom of the swing?
Please explain how you got your answer! Thank you!
a) To what height does the mass swing on the other side?
b) What is the speed of the mass at the bottom of the swing?
Please explain how you got your answer! Thank you!
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a) Same as the height on the initial side since no energy is lost. Use trigonometry to figure out its height is for either side. Find the vertical component of a right triangle with a hypotenuse of 23 cm that has a 40° angle with the vertical. Subtract that vertical component frrom the length of the pendulum (23 cm) to find the difference in the height of the heighest point and the lowest point.
It comes out to be...
height = 23 - 17.62 cm
height = 5.38 cm or 0.0538 m
b) Use the height from part a to determine how much gravitational potential energy (GPE) was converted into kinetic energy (KE). Use the equations to solve for velocity.
GPE = mgh
KE = ½mv²
It comes out to be...
v = 1.03 m/s
It comes out to be...
height = 23 - 17.62 cm
height = 5.38 cm or 0.0538 m
b) Use the height from part a to determine how much gravitational potential energy (GPE) was converted into kinetic energy (KE). Use the equations to solve for velocity.
GPE = mgh
KE = ½mv²
It comes out to be...
v = 1.03 m/s