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College Physics : Motion

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Example Questions

Example Question #31 : College Physics

If the mass of a simple pendulum is quadrupled, then its period __________.

Possible Answers:

remains the same

is reduce to one quarter

doubles

quadruples

Correct answer:

remains the same

Explanation:

We know that the equation for the period of a simple pendulum is $T = 2\pi\sqrt{\frac{L}{g}}$ . This equation does not depend on mass. It is only affected by the length of the pendulum (L) and the gravitational constant (g). Therefore, adding mass to the pendulum will not effect the period, so the period remains the same.

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Example Question #22 : Mechanics

A violin string 37.0 cm long has a linear density of $2.9\frac{g}{m}$ . What is the string tension if the second harmonic has a frequency of 770 Hz ?

Possible Answers:

1024 N

373N

312 N

77 N

Correct answer:

373N

Explanation:

Since we are solving for string tension, we need to use the frequency equation with the tension variable in it. That equation is $f = \frac{n}{2L}\sqrt\frac{T}{\mu}$ where is the frequency, is the number of the harmonic, is the length of the string, $\mu$ is the linear density of the string, and is the tension of the string.

We are given:

n=2

L=37.0 cm

f=770 Hz

$\mu=2.9\frac{g}{m}$

Next we must convert the length of 37.0 cm to meters which is 0.37m and the mass density of $2.9\frac{g}{m}$ to $0.0029\frac{kg}{m}$ . Then we plug in our known values into the equation and solve for the string tension. The result is 373N .

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Example Question #2 : Harmonic Motion

For a simple harmonic motion governed by Hooke's Law, F =-kx , if is the period then the quantity $\frac{T}{2\pi}$ is equivalent to which of the following?

Possible Answers:

$\sqrt{\frac{m}{k}}$

$\frac{m}{k}$

$\frac{k}{m}$

$\sqrt{\frac{k}{m}}$

Correct answer:

$\sqrt{\frac{m}{k}}$

Explanation:

We know that T is the period. The equation for T is $T = 2\pi\sqrt{\frac{m}{k}}$ for harmonic motion.

Solve for $\frac{T}{2\pi}$ by dividing the equation by $2\pi$ on both sides. The result is $\sqrt{\frac{m}{k}}$ , which is the answer.

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Example Question #2 : Harmonic Motion

A pendulum on earth has a period of 1.82s . What is it's period on Mars with it's gravity is $3.71 \frac{m}{s^2}?$

Possible Answers:

1.47s

2.23s

2.96s

1.63s

Correct answer:

2.96s

Explanation:

First, we need to find the length of the pendulum. Begin with the equation for finding the period of a pendulum:

$T = 2\pi \sqrt\frac{L}{g}$

solve for to get:

$L = \frac{T^2g}{4\pi^2}$

Now we can plug in our given values:

$L = \frac{(1.82)^2(9.81)}{4\pi^2} = 0.823m$

Since we have the length of the pendulum determined, we can now find the period of the pendulum on Mars:

$T = 2\pi\sqrt\frac{L}{g} = 2\pi \sqrt\frac{0.823}{3.71}= 2.96 s$

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Example Question #32 : College Physics

The bases on a baseball field are 90 feet apart.

A players hits a home run and gets around the bases in 20 seconds what is the players total speed?

Possible Answers:

$18\frac{ft}{s}$

$20\frac{ft}{s}$

$22\frac{ft}{s}$

$14\frac{ft}{s}$

$0\frac{ft}{s}$

Correct answer:

$18\frac{ft}{s}$

Explanation:

$speed= \frac{distance}{time}$

Distance = 360ft

Time= 20s

$\frac{360ft}{20s}= 18\frac{ft}{s}$

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Example Question #1 : Motion Diagrams

The bases on a baseball field are 90ft apart in a perfect square.

A player hits a home run and goes around all 4 bases. What is the total distance he travelled?

Possible Answers:

360ft

180ft

450ft

0ft

270ft

Correct answer:

360ft

Explanation:

There is 90 feet between each base and distance does not depend on direction. Distance is scaler therefore, the batter travels 360 feet.

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Example Question #41 : College Physics

The bases on a baseball field are 90 feet apart.

A players hits a home run and gets around the bases in 20 seconds what is the players total velocity?

Possible Answers:

$20\frac{ft}{s}$

$0\frac{ft}{s}$

$18\frac{ft}{s}$

$36\frac{ft}{s}$

$15\frac{ft}{s}$

Correct answer:

$0\frac{ft}{s}$

Explanation:

$Velocity = \frac{displacement}{time}$

Displacement is a vector. Magnitude and direction matter.

$Displace = 0 \rightarrow Velocity= 0$

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Example Question #2 : Motion Diagrams

The bases on a baseball field are 90ft apart.

A player hits a home run and runs around all four bases. What is his total displacement?

Possible Answers:

90ft

360ft

270ft

0ft

180ft

Correct answer:

0ft

Explanation:

Displacement is a vector. Therefore, magnitude and direction matters and because direction matters the total displacement is 0 feet.

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Example Question #3 : Motion Diagrams

A 2kg ball is dropped and it hits the floor is 4 s . How high was the ball dropped from?

$g=10\frac{m}{s^2}$

Possible Answers:

120 m

100 m

80 ft

160 m

80 m

Correct answer:

80 m

Explanation:

We are dealing with motion in one plane and the initial velocity is zero. We must use the following kinematics equation to plug in known values and solve:

$d = \frac{1}{2}at^2$

$d = \frac{1}{2}(10\frac{m}{s^2})(4s^2)$

d = 80m

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Example Question #42 : College Physics

There are 90 ft between the bases on a baseball field and they make a square.

Jim hits a double and reaches second base in 12 s . What is his velocity?

Possible Answers:

$30\frac{ft}{s}$

$90\frac{ft}{s}$

$15\frac{ft}{s}$

$21.2\frac{ft}{s}$

$3\frac{ft}{s}$

Correct answer:

$21.2\frac{ft}{s}$

Explanation:

$Speed=\frac{Distance}{Time}$

$Speed=\frac{180ft}{12s}=15\frac{ft}{s}$

Velocity is a vector so direction matters. Therefore this creates a right triangle with the two isosceles side having a velocity of $15\frac{ft}{s}$ . Therefore, the hypotenuse is $21.2\frac{ft}{s}$ when you perform Pythagorean theorem.

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College Physics : Motion

Study concepts, example questions & explanations for College Physics

All College Physics Resources

Example Questions

Example Question #31 : College Physics

Example Question #22 : Mechanics

Example Question #2 : Harmonic Motion

Example Question #2 : Harmonic Motion

Example Question #32 : College Physics

Example Question #1 : Motion Diagrams

Example Question #41 : College Physics

Example Question #2 : Motion Diagrams

Example Question #3 : Motion Diagrams

Example Question #42 : College Physics

All College Physics Resources

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