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A 0.25-kg mass at the end of a spring oscillates 2.2 times per second with an amplitude of 0.15 m. Determine (a) the speed when it passes the equilibrium point, (b) the speed when it is 0.10 m from equilibrium, (c) the total energy of the system, and (d) the equation describing the motion of the mass, assuming that at t=0, x was a maximum.


1.  Three charged particles are arranged in a line as shown in figure below. Charge A = -5 μC, charge B = +10 μC and charge C = -12 μC.  


a.  Calculate the net electrostatic force on particle A due to the other two charges.

 

 

 

 

 

b.  Calculate the net electrostatic force on particle B due to the other two charges.

 

 

 

c.   Calculate the net electrostatic force on particle C due to the other two charges 


. An ideal spring of negligible mass with force constant of 400 N/m is placed on a frictionless horizonal 

table with one end fixed at a wall next to the table. A billiard ball of mass 200 g is pushed against the 

spring, compressing the spring to some distance. After the system is released, the spring returns to 

equilibrium with the billiard ball leaving the table’s edge at 4.00 m/s and hits the floor 80 cm below. 

Using the principle of energy conservation, (a) determine the initial compression of the spring. (b) 

What is the speed of the ball when it hits the floor.


An object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has stretch by 14 cm. The object is then given a slight push upward and executes SHM. Determine the period T of this oscillation.

To compress a spring 5.0 cm from its unstretched length, 18.0 J of work must be done. (a) What is


the magnitude of the force needed to stretch it to 7.5 cm? (b) How much work must be done in stretching this spring 7.5 cm from its unstretched length?

An object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has stretched by 14 cm. The object is then given a slight push upward and executes SHM. Determine the period T of this oscillation.


QUESTION 1

Some workers re-roofing a building are using a slide to get material from the roof to a bin beside the building.

Assume that the slide is frictionless and that the material being slid down starts at the top of the slide at rest.

If the bin is 4.4 m vertically below the top of the slide then at what speed will the material enter the bin? (in m s-1 to 2 s.A)


  1. Compute for the amount of charge (q) of a 15 V battery with -45 J potential energy
  2. A metal sphere has 5x10^-9C static charge. Compute the voltage if the radius is equal to 0.05m. (k=8.99 x 10^9 N.m^2/C^2
  3. Find the Total capacitance of the three given capacitors in series connection, given their individual capacitances, 4.0 μF, 15.0 μF.
  4. Find the net capacitance of the three given capacitors connected in parallel, given their individual capacitances, 2.0 μF, 5.0, μF, 8.0 μF.
  5. A parallel plate capacitor was placed 0.002 m apart. Compute for the capacitance if the area each plate is equal to 0.025 m^2. (ε0 = 8.85x10^-12 F/m)
  1. Two charged objects in a laboratory are brought to a distance of 75 centimeters away from each other. If the force between the spheres is 6,250 N and the charge on one object is 9.9 x 10-3 C, what is the charge on the other object?

A wall with a thermal conductivity of 0.50W/m·K is maintained at 40.0°C. The heat transfer through the wall is 250.0W. The wall surface area is 1.50m2 and its thickness is 1.00cm. Determine the temperature at the other surface.

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