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A 400kg mass on a 30 degree inclined plane is acted upon by a force equal to 4800N at an angle 30 degree with the incline as shown in the figure below.


1. An infinite non-conducting sheet has a surface charge density 𝜎 = 0.10𝜇𝐶/𝑚2 on one 

side. How far apart are equipotential surfaces whose potentials differ by 50Volts?

2. As a space shuttle moves through the dilute ionized gas of Earth’s ionosphere, the shuttle’s 

potentials is typically changed by -1.0V during one revolution. Assuming the shuttle is a 

sphere of radius 10m, estimate the amount of charge to collects.

3. What are the charge and the charge density on the surface of a conducting sphere of 

radius 0.15m whose potential is 200V with V=0 at infinity?

4. A spherical drop of water carrying a charge of 30pC has a potential of 500V at its surface 

(with V=0 at infinity). (a) What is the radius of the drop? (b) If two such drops of the same 

charge and radius combine to form a single spherical drop. What is the potential at the 

surface of the new drop?




1. An alpha particle is sent directly toward a target nucleus containing 92 protons. The alpha 

particle has an initial kinetic energy of 0.48pJ. What is the least center to center distance 

the alpha particle will from the target nucleus (assuming the nucleus does not move)?

2. Three +0.12C charges from an equilateral triangle 1.7m on a side. Using energy supplied

At the rate of 0.83KW, how many days would be required to move one of the charges to 

the midpoint of the line joining the other two charges?


3. The electric potential difference between the ground and a cloud in a particular 

thunderstorm is 1.2X109 V. In the unit of electron- volt, what is the magnitude of the 

electric potential energy of an electron that moves between ground and the clouds?




A 25 kg object with 3.0 m/s velocity travelling to the right hits object B, which has a mass of 15 kg and 6.0 m/s velocity moving and travelling to the left. After collision, determine the velocity of object A if object B:



a. Remains travelling to the left for 0.30 m/s.



b. Recoils to the right at 0.45 m/s, and c. Remains together with object A.



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Ball A with mass of 100 g moving in a constant velocity of 200 cm /s, hits Ball B with a mass of 400 g which is at rest. As a result of the collision, Ball A bounced back at 120 cm/s. determine the final velocity of Ball B.

An 8 kg bowling ball is at rest and a 5 kg bowling ball rolls towards it. Upon collision, the heavier ball moves with a velocity of 3 m/s and a lighter ball stops moving. What is the velocity of the lighter ball before collision?

1. A 30g marble rolls with a velocity of 2 m/s toward a 70 g marble at rest. The lighter marble(m1) stops moving as it hits the heavier marble(m2). This collision causes the heavier marble to move. What is the velocity of the heavier marble?

1. How fast is the collision crash of 5,000kg car moving with a velocity of 5.2m/s that hits a stationary 8000kg truck on a frictionless track?



2. A bullet with 2.0 g mass and 300 m/s velocity hits a wooden trolley with 1.5 kg mass which is at rest on a frictionless track. Determine the final velocity of the wooden trolley.


The speed of a car decreases from 40 m/s to 35 m/s at 12 meters. What is the kinetic energy of the car?

a) A 150Ω resistor is connected in series to a1kΩ resistor and to a battery of 127V. Find the effective resistance and current in the circuit.

b) A 10Ω resistor is connected in parallel to 32Ω resistor and a voltage source of 24V. Find the effective resistance and total current provided in the circuit. Determine the current in each of the resistors.



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