Question 1

The position of an object is given by x = at3 - bt2 + ct,where a = 4.1 m/s3,b = 2.2 m/s2,c = 1.7 m/s,and x and t are in SI units.What is the instantaneous acceleration of the object when t = 0.7 s?

Accepted Answer

A)  -13 m/s2 
B)  2.9 m/s2 
C)  4.6 m/s2 
D)  13 m/s2

Question 2

A force F = bx3 acts in the x direction,where the value of b is 3.7 N/m3. How much work is done by this force in moving an object from x = 0.00 m to x = 2.6 m?

Accepted Answer

A)  42 J 
B)  13 J 
C)  50 J 
D)  57 J

Question 3

Motor oil,with a viscosity of 0.250 N • s/m2,is flowing through a tube that has a radius of 5.00 mm and is 25.0 cm long.The drop in pressure is 300 kPa.What is the volume of oil flowing through the tube per second?

Accepted Answer

A)  0.000376 m3/s 
B)  0.0253 m3/s 
C)  0.00118 m3/s 
D)  4.71 m3/s 
E)  7.54 m3/s

Question 4

An electron,moving toward the west,enters a uniform magnetic field.Because of this field the electron curves upward.The direction of the magnetic field is

Accepted Answer

A)  towards the north. 
B)  towards the south. 
C)  towards the west. 
D)  upward. 
E)  downward.

Question 5

An astronaut on a spaceship moving at 0.927c says that the trip between two stationary stars took
7)49 y.How long does this journey take as measured by someone at rest relative to the two stars?

Accepted Answer

A)  20.0 y 
B)  2.81 y 
C)  4.05 y 
D)  22.1 y

Question 6

The International Space Station has a mass of 1.8 × 105 kg. A 70.0-kg astronaut inside the station pushes off one wall of the station so she accelerates at 1.50 m/s2. What is the magnitude of the acceleration of the space station as the astronaut is pushing off the wall? Give your answer relative to an observer who is space walking and therefore does not accelerate with the space station due to the push.

Accepted Answer

A)  5.8 × 10-4 m/s2 
B)  1.50 m/s2 
C)  4.7 × 10-4 m/s2 
D)  zero 
E)  3.9 × 10-3 m/s2

Question 7

The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position.Determine the wavelength of the wave.

Accepted Answer

A)  2.0 cm 
B)  3.0 m 
C)  2.0 m 
D)  4.0 m 
E)  1.5 m

Question 8

An ac circuit is shown in the figure.The rms current in the circuit is measured to be 1.8 A.What is the capacitance of the capacitor?

Accepted Answer

A)  23 μF 
B)  24 μF 
C)  21 μF 
D)  19 μF 
E)  18 μF

Question 9

As more resistors are added in parallel across a constant voltage source,the power supplied by the source

Accepted Answer

A)  increases. 
B)  decreases. 
C)  does not change.

Question 10

A parallel-plate capacitor has a capacitance of 10 mF and charged with a 20-V power supply.The power supply is then removed and a dielectric material of dielectric constant 4.0 is used to fill the space between the plates.How much energy is now stored by the capacitor?

Accepted Answer

A)  250 mJ 
B)  125 mJ 
C)  500 mJ 
D)  62.5 mJ 
E)  1200 mJ

Question 11

A 2.0 kg block on a frictionless table is connected to two ideal massless springs with spring constants k1 and k2 whose opposite ends are fixed to walls,as shown in the figure.What is angular frequency of the oscillation if k1 = 7.6 N/m and k2 = 5.0 N/m?

Accepted Answer

A)  2.5 rad/s 
B)  3.5 rad/s 
C)  0.40 rad/s 
D)  0.56 rad/s

Question 12

A tire is rolling along a road,without slipping,with a velocity v.A piece of tape is attached to the tire.When the tape is opposite the road (at the top of the tire),its velocity with respect to the road is

Accepted Answer

A)  2v. 
B)  v. 
C)  1.5v. 
D)  zero. 
E)  The velocity depends on the radius of the tire.

Question 13

Suppose we want a satellite to revolve around the earth 5 times a day.What should be the radius of its orbit? (The mass of the earth is 5.97 × 1024 kg,G = 6.67 × 10-11 N • m2/kg2,and you can neglect the presence of the moon.)

Accepted Answer

A)  1.44 × 107 m 
B)  0.690 × 107 m 
C)  7.22 × 107 m 
D)  2.11 × 107 m

Question 14

Astronaut Spud Nick is space-traveling from planet X to planet Y at a speed of 0.60c relative to the planets,which are at rest relative to each other.When he is precisely halfway between the planets,a distance of 1.0 light-hour from each one as measured in the planet frame,nuclear devices are detonated on each planet.The explosions are simultaneous in the frame of the planets.What is the difference in the time of arrival of the flashes from the explosions as observed by Spud?

Accepted Answer

A)  300 min 
B)  150 min 
C)  75 min 
D)  0 min 
E)  113 min

Question 15

Charge is distributed uniformly throughout a large insulating cylinder of radius R.The charge per unit length in the cylindrical volume is λ. (a)Use Gauss's law to find the magnitude of the electric field at a distance r from the central axis of the cylinder for r < R.Your answer should be in terms of r,R,λ,ε₀,and π. (b)Check the reasonableness of your answer by evaluating it at the surface of the cylinder.

Accepted Answer

The answer of Charge is distributed uniformly throughout a large...

Question 16

You are the science officer on a visit to a distant solar system.Prior to landing on a planet you measure its diameter to be 1.8 × 107 m and its rotation period to be 22.3 hours.You have previously determined that the planet orbits 1.8 × 1011 m from its star with a period of 402 earth days.Once on the surface you find that the acceleration due to gravity is 59.7 m/s2.What are the mass of (a)the planet and (b)the star? (G = 6.67 × 10-11 N • m2/kg2.)

Accepted Answer

A)  (a) 7.2 kg × 1025 kg, (b) 2.9 kg × 1030 kg 
B)  (a) 1.3 kg × 1026 kg, (b) 2.9 kg × 1030 kg 
C)  (a) 7.2 kg × 1025 kg, (b) 1.7 kg × 1030 kg 
D)  (a) 1.3 kg × 1026 kg, (b) 1.7 kg × 1030 kg

Question 17

Calculate the light intensity 1.51 m from a light bulb that emits 100 W of visible light,assuming that the light radiates uniformly in all directions.

Accepted Answer

A)  3.49 W/m2 
B)  4.01 W/m2 
C)  43.9 W/m2 
D)  50.5 W/m2

Question 18

A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by  = (0.082 V/m) 
) What is the Poynting vector at the point P at that instant? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

Accepted Answer

A)  18 µW/m2  
B)  -18 µW/m2  
C)  9.0 µW/m2  
D)  -9.0 µW/m2  
E)  -18 µW/m2

Question 19

The horizontal coordinates of a  
in a strong wind are given by  
where x and y are in meters,and t is in seconds.
(a)What is the acceleration of the Frisbee? Give a magnitude and a direction,measuring angles from the positive x direction.
(b)What is the magnitude of the velocity at t = 2.0 s,accurate to the nearest m/s?

Accepted Answer

The answer of The horizontal coordinates of a  
in...

Question 20

The figure shows two connected wires that are made of the same material.The current entering the wire on the left is 2.0 A and in that wire the electron drift speed is vd.What is the electron drift speed in the wire on the right side?

Accepted Answer

A)  4vd 
B)  2vd 
C)  vd 
D)  vd/2 
E)  vd/4

Exam 1: A: Foundations

The position of an object is given by x = at³ - bt² + ct,where a = 4.1 m/s³,b = 2.2 m/s²,c = 1.7 m/s,and x and t are in SI units.What is the instantaneous acceleration of the object when t = 0.7 s?

A force F = bx³ acts in the x direction,where the value of b is 3.7 N/m³. How much work is done by this force in moving an object from x = 0.00 m to x = 2.6 m?

Motor oil,with a viscosity of 0.250 N • s/m²,is flowing through a tube that has a radius of 5.00 mm and is 25.0 cm long.The drop in pressure is 300 kPa.What is the volume of oil flowing through the tube per second?

An electron,moving toward the west,enters a uniform magnetic field.Because of this field the electron curves upward.The direction of the magnetic field is

An astronaut on a spaceship moving at 0.927c says that the trip between two stationary stars took 7) 49 y.How long does this journey take as measured by someone at rest relative to the two stars?

The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position.Determine the wavelength of the wave.

An ac circuit is shown in the figure.The rms current in the circuit is measured to be 1.8 A.What is the capacitance of the capacitor?

As more resistors are added in parallel across a constant voltage source,the power supplied by the source

A parallel-plate capacitor has a capacitance of 10 mF and charged with a 20-V power supply.The power supply is then removed and a dielectric material of dielectric constant 4.0 is used to fill the space between the plates.How much energy is now stored by the capacitor?

A 2.0 kg block on a frictionless table is connected to two ideal massless springs with spring constants k₁ and k₂ whose opposite ends are fixed to walls,as shown in the figure.What is angular frequency of the oscillation if k₁ = 7.6 N/m and k₂ = 5.0 N/m?

A tire is rolling along a road,without slipping,with a velocity v.A piece of tape is attached to the tire.When the tape is opposite the road (at the top of the tire) ,its velocity with respect to the road is

Suppose we want a satellite to revolve around the earth 5 times a day.What should be the radius of its orbit? (The mass of the earth is 5.97 × 10²⁴ kg,G = 6.67 × 10^-11 N • m²/kg²,and you can neglect the presence of the moon.)

Calculate the light intensity 1.51 m from a light bulb that emits 100 W of visible light,assuming that the light radiates uniformly in all directions.

The figure shows two connected wires that are made of the same material.The current entering the wire on the left is 2.0 A and in that wire the electron drift speed is v_d.What is the electron drift speed in the wire on the right side?