Fundamentals 9 Flashcards

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1
Q

About how much of a circle is a radian? (Your answer may not reference π).

A

about 1/6 of a circle, or about 60 degrees. (To two digits, that’d be 57 degrees.)

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2
Q

What is the formula for rotational inertia of a point object?

A

MR^2

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3
Q

A ball is launched vertically off of a table, 70 cm above the floor. The ball reaches a maximum height of 160 cm above the floor, then falls to the floor. What is the magnitude of the ball’s displacement between the table and the floor?

A

70 cm. (Displacement is the distance from the beginning to the end of a motion, without regard for what happens in between.)

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4
Q

A ball has 100 J of gravitational potential energy relative to the ground when it is dropped from rest from a high cliff. The ball has 60 J of kinetic energy right before hitting the ground. How much work was done by air resistance during the ball’s fall?

A

40 J. (The energy bar chart will show that 100 J of gravitational energy plus the work done by air resistance equals the 60 J of kinetic energy at the ground. Leaving 40 J of work done by air.)

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5
Q

Cart A, of mass 1 kg, moves left with speed 1 m/s. What is the magnitude and direction of cart A’s momentum?

A

1 Ns, left. (Momentum is mv; the direction of momentum is the same as the direction of motion.)

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6
Q

Cart A, of mass 1 kg, moves left with speed 1 m/s. Cart B, of mass 1 kg, moves right with speed 1 m/s. What is the total kinetic energy of the two-cart system?

A

1 J. (Kinetic energy does not have direction; so all kinetic energies add together. Each cart has 0.5 J of kinetic energy.)

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7
Q

A car moves east at 30 m/s. Ten seconds later, the car moves east at 10 m/s. What is the magnitude and direction of the car’s acceleration?

A

2 m/s/s, west. (Acceleration is the change in speed every second. The car changes speed by 20 m/s over 10 seconds, so that’s a change of 2 m/s every 1 second. And when an object slows down, its acceleration is opposite the direction of motion.)

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8
Q

How do you determine an object’s speed from a velocity-time graph?

A

look at the vertical axis

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9
Q

Define torque.

A

force times lever arm.

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10
Q

I attach a 20 g mass to a spring, set the spring in harmonic motion, and measure its period. The mass is determined using period = 2πroot(m/k). Did I determine gravitational mass or inertial mass?

A

inertial. (The equation for the period of a spring does not involve gravitational field or the universal gravitation constant.)

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