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1. A particle moves along the x-axis. Its position varies with time and is given by equation x =-6t + 3t^2 where x is in metres and t is in seconds.
a) Sketch the position time graph for the particle between 0s and 4s.
b) What is the displacement of the particle after the first second?
c) What is the average velocity of the particle in the time interval ls to 3s?
d) What is the instantaneous velocity at 4s?
2. In the Hydrogen atom the electron and proton are separated by a distance of 5.3 x 10^-11m.
a) Find the gravitational force between them
b) Find the electrostatic force between them
c) Find the net force between them me= 9.11 x 10^-31kg mp=1.67x10^-27kg one unit of charge= 1.60 x 10^-19 C
A rotating wheel requires 9.00 second to rotate 25.0 revolutions. Its angular velocity at the end of the 9.00 s interval is 96.0 rad/s. Estimate what the constant angular acceleration of wheel
Ice at -10.2 °C and steam at 136 °C are brought together at atmospheric pressure in a perfectly insulated container. After thermal equilibrium is reached, the liquid phase at 53.0°C is present.
Two masses m1 and m2, with m1
Two blocks, each of mass m = 2.4 kg, are pushed along the horizontal surface of a table by a horizontal force P of magnitude 4.7 N, Find the frictional force acting on the upper block
50.0 mL of water at 10.0 ºC is placed in the freezer compartment of a refrigerator by a coefficient of performance of 6.00. How much heat energy is exhausted into the room as the water is changed to ice at -15.0 ºC?
The body temperature of an 80 kilogram person is 40oC. Find at what rate in watts must the person transfer thermal energy to reduce the body temperature to 37oC in 30 minute
A double-slit experiment is set up using red light (l = 714 nm). A first order bright fringe is seen at a given location on a screen. What wavelength of visible light (between 380 nm and 750 nm) would generate a dark fringe at the identical locati..
We have a container of compressed air. Assume that air is diatomic ideal gas. The volume of the container is 1.35 liters. Find the final volume of the gas
An object with specific gravity 0.59 is immersed in a liquid by specific gravity 1.61. What is the fraction of the volume of the object that submerges in the liquid?
Light travels at a speed of 1.947 × 108 m/s in a certain substance. What is the index of refraction of this substance
Define equivalent resistance. Derive expressions for equivalent resistances for series and parallel arrangement of resistances.
A girl is using a rope to pull a box that has mass of 30kg across a level surface with constant velocity. What is the normal force of the floor on the box
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