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A student measured a meter stick to be 150 gm. The student then placed a knife edge
on 30-cm mark of the stick. If the student placed a 500-gm weight on 5-cm mark and
a 300-gm weight on somewhere on the meter stick, the meter stick then was
balanced. Where did the student place the 300-gram weight?
1. Express the displacement of velocity and acceleration as a function of time
2. Express velocity and acceleration as a function of time
3. A mass of 100g is connected is a light spring of force constant 10Nm and is free to oxillate on a horizontal frictionless surface. If the mass is displaced 8cm from equilibrium and release from the rest. Find: i. The period of it's motion ii. The maximum speed of the mass iii. The maximum acceleration of the mass
- If Andrew Wiggins highest vertical leap is 1.29 m, then what is his takeoff speed and his hang time (total time to move upwards to the peak and then return to the ground)?
- A canon ball leaves a cannon with velocity of 521 m/s. While accelerating, the canon ball moves a distance of 0.840 m. Determine the acceleration of the canon ball (assume a uniform acceleration).
A force of 300 N is used to stretch a horizontal spring with a 0.5 kg block attached to it by 0.25 m. The block is released from rest and undergoes simple harmonic motion. Calculate 2.4.1 Spring constant (2) 2.4.2 Mechanical energy applied (2) 2.4.3 Velocity when x = 15 cm (3)
A gas molecule having a speed of 300 m/sec collides elastically with another molecule of same mass which is initially at rest. After the collision the first molecule moves at an angle of 30 degree to its initial direction. Find the speed of each molecule after collision and the angle made with the incident direction by the recoiling target molecule.
A planar figure is formed from uniform wire that consists of two equal semi-circular arcs, each with its own closing diameter, joined so as to form a letter 'B' The figure is freely suspended from its top left hand corner.what angle does the straight edge of the figure make with the vertical?
An automobile tire having a temperature of 7.9 ◦C (a cold tire on a cold day) is filled to a gauge pressure of 24 lb/in2 . What would be the gauge pressure in the tire when its temperature rises to 26◦C? For simplicity, assume that the volume of the tire remains constant, that the air does not leak out and that the atmospheric pressure remains constant at 14.7 lb/in2 . Answer in units of lb/in2 .
At the initial instant, two particles are observed at different locations moving towards each other with velocities u1 and u2. If they are subjected to constant accelerations a1 and a2 in directions opposite to their initial velocities, they will meet twice. If time interval between these two meetings is Δt, find suitable expression for their initial separation
Consider a planet of mass (m) revolving around the sun. The time period (T) of revolution of the planet depends on the mass of the sun (M), the radius of the orbit (r) and the gravitational constant (G). Verify Kepler's third law of planetary motion
An isolated thermodynamic system, composed of an ideal gas, completes a cycle reversible consisting of an isothermal expansion (1-2), an isochoric cooling (2-3) and an adiabatic transformation (3-1). Knowing that V2= 3V1, and that = 7/5 = 1.4, Calculate:
a) The thermal efficiency of the cycle.
b) Is the gas monoatomic or diatomic cycle?
c) The change in entropy of the individual transformations of the system and in the whole cycle.
d) The change in entropy of the universe.
