Spring OR Review

A flywheel with radius 12 cm is spinning with an angular velocity of 40 rad/sec second when it begins to slow down due to a malfunction. The angular velocity decreases at a rate of -15 rad/sec². Calculate, in revolutions, the angular displacement of the flywheel as it slows down and comes to a stop.

• 0.31 revolutions

• 53.3 revolutions

• 26.7 revolutions

• 8.49 revolutions

A tetherball spins around a pole as shown in the picture below. The ball has a mass M and makes an angle of 6° with the pole. The tension in the rope is T. Which expression below best represents how to calculate the centripetal force on the ball?

• Fc = T + Mg

• Fc = Mgsin(θ)

• Fc = Tsin(θ)

• Fc = Tcos(θ) - Mg

Tags

NGSS.HS-PS2-1

Two boxes are balanced in equilibrium on the seesaw shown below. Box 1 has a mass of 28 kg and is a distance 0.4 m from the pivot point P. Box 2 has an unknown mass and is at a distance of 0.8 m from the pivot point P. The mass of the seesaw is 6 kg. Calculate the mass of Box 2. 

• 7 kg

• 14 kg

• 28 kg

• 56 kg

Tags

NGSS.HS-PS2-1

A student is spinning a basketball of mass 0.4 kg and radius 12 cm on his finger when another student randomly spits a piece of gum (mass 0.02 kg) into the air, which lands directly on the basketball and sticks to it. Treating the gum like a point mass, calculate the moment of inertia of the basketball and gum.

• 0.00259 kg m²

• 0.00324 kg m²

• 0.00230 kg m²

• 0.00146 kg m²

Bone has a Young’s Modulus of about 1.8 x 10¹⁰ Pa. Under compression, it can withstand a stress of about 1.52 x 10⁸ Pa before breaking. A boy climbing on a desk falls off the desk and, when he lands, the ground applies a force to his leg (which has a cross-sectional area of 0.00098 m² which is barely enough to cause his leg to break. Calculate the force that the ground applies to his leg.

• 15722 N

• 78922 N

• 135792 N

• 148960 N

Tags

NGSS.HS-PS2-1

Calculate the absolute pressure at the bottom of a swimming pool which is 5 m deep. Assume the density of water is 1000 kg/m³ and that atmospheric pressure can be taken as 1.0 x 10⁵ Pa.

• 100,000 Pa

• 135,000 Pa

• 149,000 Pa

• 155,000 Pa

Tags

NGSS.HS-PS2-4

Water flows through a pipe as shown in the picture below. At point X, the water flows at a rate of 16 m/s. At both point X and point Y, the diameter of the pipe is the same. Determine the speed of the water at point Y.

• 0 m/s

• 14.9 m/s

• 15.2 m/s

• 16 m/s

A pendulum is created by attaching a 2 kg mass to the end of a massless string of length 0.75 m. A student magically teleports to Planet X and observes that the pendulum takes 17.82 seconds to oscillate back and forth 10 times. Calculate the acceleration due to gravity for Planet X.

• 1.48 m/s²

• 3.69 m/s²

• 7.29 m/s²

• 9.32 m/s²

Which of the following quantities is directly related to the internal energy of an ideal gas?

• Pressure

• Volume

• Temperature

• Heat

Tags

NGSS.HS-PS3-2

A quantity of 2.00 mol of an ideal gas is maintained at a temperature of 127 ºC in a container of volume 0.083 m³. What is the pressure of the gas?

• 8 kPa

• 25 kPa

• 40 kPa

• 80 kPa