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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.
How many possible samples of size n = 3 can be drawn from a population of size 10?
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.
If a 15.6 g object requires 836.8 J of heat to raise its temperature by 21.0°C, what is the specific heat of the object?
If a 15.6 g object requires 836.8 J of heat to raise its temperature by 21.0°C, what is the specific heat of the object?
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)
#340153 on Dec 2023