Question

1. A 1.75-kg mass attached to a horizontally mounted spring moves as function of time as
follows :

x = 4cos (1.331 t + π/5)

Where distance is measured in meters and time in seconds. Assume it to be a free oscillator.
a) What is the phase, initial phase, amplitude, frequency, angular frequency, and period of
this motion?

b) What is the equation of the velocity of this particle?

c) What is the equation of the acceleration of this particle?

d) What is the spring constant?

e) Obtain the value of the displacement, velocity and acceleration at a time t= 2s.

f) Obtain the maximum value of displacement, velocity and acceleration.

g) What is the total mechanical energy of the oscillator?

h) Obtain the kinetic energy and the potential energy at 1= 1s.​

Answer 1

Answer:

v3. The approximate velocity-time graph for a car on a 5-hour journey is shown in figure 3.8. (There is a very quick driver change midway to prevent driving fatigue!) (25)

a) State in which of the regions OA, AB, BC, CD, DE the car is (i) accelerating, (ii) decelerating, (iii) travelling with uniform velocity OA

b) Calculate the value of the acceleration, deceleration or constant velocity in each region.

c) What is the distance travelled over each region?

d) What is the total distance travelled?

e) Calculate the average velocity for the whole journey

Explanation: