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1. Explain the definition of force and motion
2. Explain about first and second Newton's Laws
In a constant volume gas thermometer the gas pressure at 0 degree Celsius is 200mmHg and at 100 degree Celsius it is 270mmHg what is the temperature if the thermometer produces a pressure of 214mmHg
In a hydraulic press, the areas of small and the large pistons are 4cm2 and 600cm2 respectively. Find the velocity ratio of the machine. Assuming there is no friction, find the mechanical advantage.
What is SI unit of momentum.
The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :
A metal block of mass M kg is attached to a spring of negligible mass and spring constant k as shown in Fig. 2, and is free to slide on a frictionless, horizontal surface. A clay ball of mass M/4 kg is fired at the block with velocity V m/s and sticks to it. The block is initially at rest and the spring is initially uncompressed.
(a) (3 marks) What is the speed of the block and ball system immediately after the impact?
(b) (4 marks) Write an equation for the position of the block as a function of time after the
collision, assume that at t = 0 s, the instant of the impact, it is at X = 0 m, which is the unstretched point of the spring. Determine values for the amplitude, angular frequency in terms of the given quantities. Assume that X and V are positive to the left as shown.
(c) (3 marks) Calculate the time period, maximum velocity and maximum acceleration of the motion of the spring block and ball system.
A pair of stars revolves about their common center of mass
as in Fig. 1. One of the stars has a mass M that is twice the
mass m of the other star. Their centers are a distance d apart
(d being large compared to the size of either star). All units
are in SI.
(a) (4 marks) Derive an expression for the period of
revolution of the stars about their common center of mass in
terms of d, m, and G.
(b) (3 marks) Compare the angular momenta of the two stars
about their common center of mass by calculating the ratio
Lm /LM .
(c) (3 marks) Compare the kinetic energies of the two stars by
calculating the ratio Km /KM .
The coordinates of a particles in meters per second is given by v(t)=12t-3t where the time (this in second at what value of (1) will the particles becomes momentarily at rest?
Two twins are 25.0 years old when one of them sets out on a journey through space at nearly constant
speed. The twin in the spaceship measures time with an accurate watch. When he returns to Earth, he
claims to be 31.0 years old, while the twin left on Earth knows that she is 43.0 years old. What was the
speed of the spaceship?
Observer О notes that two events are separated in space and time by 600 𝑚 and 8 × 10−7
𝑠. How fast
must an observer O' be moving relative to О in order that the events be simultaneous to O'?
