Exam 1: A: Foundations

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A small car has a head-on collision with a large truck.Which of the following statements concerning the magnitude of the average force due to the collision is correct?

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A very thin horizontal,2.00-m long,5.00-kg uniform beam that lies along the east-west direction is acted on by two forces. At the east end of the beam,a 200-N force pushes downward. At the west end of the beam,a 200-N force pushes upward. What is the angular acceleration of the beam?

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Two thin-walled concentric conducting spheres of radii 5.0 cm and 10 cm have a potential difference of 100 V between them.(k = 1/4πε0 = 8.99 × 109 N • m2/C2) (a)What is the capacitance of this combination? (b)What is the charge carried by each sphere?

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Object A has a position as a function of time given by Object A has a position as a function of time given by   <sub>A</sub>(t)= (3.00 m/s)t   + (1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) Object B has a position as a function of time given by   <sub>B</sub>(t)= (4.00 m/s)t   + (-1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s? A(t)= (3.00 m/s)t Object A has a position as a function of time given by   <sub>A</sub>(t)= (3.00 m/s)t   + (1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) Object B has a position as a function of time given by   <sub>B</sub>(t)= (4.00 m/s)t   + (-1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s? + (1.00 m/s2)t2 Object A has a position as a function of time given by   <sub>A</sub>(t)= (3.00 m/s)t   + (1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) Object B has a position as a function of time given by   <sub>B</sub>(t)= (4.00 m/s)t   + (-1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s? ) Object B has a position as a function of time given by Object A has a position as a function of time given by   <sub>A</sub>(t)= (3.00 m/s)t   + (1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) Object B has a position as a function of time given by   <sub>B</sub>(t)= (4.00 m/s)t   + (-1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s? B(t)= (4.00 m/s)t Object A has a position as a function of time given by   <sub>A</sub>(t)= (3.00 m/s)t   + (1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) Object B has a position as a function of time given by   <sub>B</sub>(t)= (4.00 m/s)t   + (-1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s? + (-1.00 m/s2)t2 Object A has a position as a function of time given by   <sub>A</sub>(t)= (3.00 m/s)t   + (1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) Object B has a position as a function of time given by   <sub>B</sub>(t)= (4.00 m/s)t   + (-1.00 m/s<sup>2</sup>)t<sup>2</sup> <sup> </sup>   ) All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s? ) All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s?

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A uniform magnetic field of magnitude 0.80 T in the negative z direction is present in a region of space,as shown in the figure.A uniform electric field is also present and is set at 76,000 V/m in the +y direction.An electron is projected with an initial velocity v0 = 9.5 × 104 m/s in the +x direction.The y component of the initial force on the electron is closest to which of the following quantities? (e = 1.60 × 10-19C) A uniform magnetic field of magnitude 0.80 T in the negative z direction is present in a region of space,as shown in the figure.A uniform electric field is also present and is set at 76,000 V/m in the +y direction.An electron is projected with an initial velocity v<sub>0</sub> = 9.5 × 10<sup>4</sup> m/s in the +x direction.The y component of<sup> </sup>the initial force on the electron is closest to which of the following quantities?<sup> </sup>(e = 1.60 × 10<sup>-19</sup>C)

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An object is moving to the right,and experiencing a net force that is directed to the right.The magnitude of the force is decreasing with time.The speed of the object is

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A flat horizontal plate of area 400 cm2 is dragged over a 0.20 cm thick layer of oil at a speed of 30.0 cm/s.The oil is resting on a fixed horizontal surface. It takes a force 1.20 N applied to the plate to sustain this speed. What is the viscosity of the oil?

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A parallel-plate capacitor has a capacitance of 10 mF and is 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.What is the voltage now across the capacitor?

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A 50.0-N box is sliding on a rough horizontal floor,and the only horizontal force acting on it is friction.You observe that at one instant the box is sliding to the right at 1.75 m/s and that it stops in 2.25 s with uniform acceleration.What magnitude force does friction exert on this box?

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Two weights are connected by a massless wire and pulled upward with a constant speed of 1.50 m/s by a vertical pull P.The tension in the wire is T (see figure).P is closest to Two weights are connected by a massless wire and pulled upward with a constant speed of 1.50 m/s by a vertical pull P.The tension in the wire is T (see figure).P is closest to

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The root-mean-square speed (thermal speed)of the molecules of a gas is 200 m/s at a temperature 23.0°C. What is the mass of the individual molecules? The Boltzmann constant is 1.38 × 10-23 J/K.

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A 6.0 kg box slides down an inclined plane that makes an angle of 39° with the horizontal.If the coefficient of kinetic friction is 0.19,at what rate does the box accelerate down the slope?

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As you are leaving a building,the door opens outward.If the hinges on the door are on your right,what is the direction of the angular velocity of the door as you open it?

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A cone is resting on a tabletop as shown in the figure with its face horizontal.A uniform electric field of magnitude 4550 N/C points vertically upward.How much electric flux passes through the sloping side surface area of the cone? A cone is resting on a tabletop as shown in the figure with its face horizontal.A uniform electric field of magnitude 4550 N/C points vertically upward.How much electric flux passes through the sloping side surface area of the cone?

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A charge q = 2.00 μC is placed at the origin in a region where there is already a uniform electric Field A charge q = 2.00 μC is placed at the origin in a region where there is already a uniform electric Field   = (100 N/C)   )Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin.(ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>) = (100 N/C) A charge q = 2.00 μC is placed at the origin in a region where there is already a uniform electric Field   = (100 N/C)   )Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin.(ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>) )Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin.(ε0 = 8.85 × 10-12 C2/N • m2)

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A 15-μF air-filled capacitor is connected to a 50-V voltage source and becomes fully charged. The voltage source is then removed and a slab of dielectric that completely fills the space between the plates is inserted. The dielectric has a dielectric constant of 5.0. (a)What is the capacitance of the capacitor after the slab has been inserted? (b)What is the potential difference across the plates of the capacitor after the slab has been inserted?

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A 1.0 μF capacitor has a potential difference of 6.0 V applied across its plates.If the potential difference across its plates is increased to 8.0 V,how much ADDITIONAL energy does the capacitor store?

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The position of an object that is oscillating on an ideal spring is given by the equation x = (12.3 cm)cos[(1.26s-1)t].At time t = 0.815 s, (a)how fast is the object moving? (b)what is the magnitude of the acceleration of the object?

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A series LRC ac circuit has a resistance of 4.0 kΩ,a capacitance of 33.0 μF,and an inductance of 23.0 H.If the frequency of the alternating current is 2.0/π kHz,what is the phase angle between the voltage and the current?

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In order to get an object moving,you must push harder on it than it pushes back on you.

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