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Classical Mechanics
A horizontal spring-mass system oscillates on a frictionless table. If the ratio of the mass to the spring constant is 0.042 kg·m/N, and the maximum speed of the mass was measured to be 5.9 m/s, the maximum extension of the spring will be
Classical Mechanics
A copper wire AB is fused at one end B to an iron wire BC which has rectangularly long shape.AB = 9.00 x 10^2 mm and BC = 4.50 x 10^2 mm. The diameter of the copper wire is 0.50 mm and that of the iron wire is 2.50.mm. The compound wire is stretched so that its length increases by a total amount of 0.1 cm
Calculate:
i) The ratio of the extension of the copper wire to that of the iron wire.
ii) The tension applied to the compound wire.
(NB: Young modulus of copper — 1.3 x 1011 Pa while that of iron = 2.0 x 1011 Pa)
Calculate:
i) The ratio of the extension of the copper wire to that of the iron wire.
ii) The tension applied to the compound wire.
(NB: Young modulus of copper — 1.3 x 1011 Pa while that of iron = 2.0 x 1011 Pa)
Classical Mechanics
What is the power output of a cyclist moving at a steady speed of 5ms-1 along a level road against resistance of 20N
Classical Mechanics
A certain oscillator has equation of motion
x¨ + 4x = 0.
The particle is initially at the point x =
√
3 when it is projected towards the origin with a speed 2. Determine the displacement, x(t), of the particle
x¨ + 4x = 0.
The particle is initially at the point x =
√
3 when it is projected towards the origin with a speed 2. Determine the displacement, x(t), of the particle
Classical Mechanics
A 500 g block is attached to a spring on a frictionless horizontal surface. The block is pulled to stretch the spring by 10 cm, then gently released. A short time later, as the block passes through the equilibrium position, its speed is
m/s.
What is the block’s period of oscillation?
What is the block’s speed at the point where the spring is compressed by 5.0 cm?
m/s.
What is the block’s period of oscillation?
What is the block’s speed at the point where the spring is compressed by 5.0 cm?
Classical Mechanics
A particle of mass m=1Kg moves in the x -y plane.The force on it at time t is
F(t)= [2sin(αt)i+3cos(αt)j]N
where α =1s^(-1) At time t=0 the particle is at rest at the origin. Calculate the magnitude of its position vector r (in m ) and velocity vector v(in m/s) at
time t=(π/2)s
Ans r=[(π-2)²+9]^(1/2)
V=√13
F(t)= [2sin(αt)i+3cos(αt)j]N
where α =1s^(-1) At time t=0 the particle is at rest at the origin. Calculate the magnitude of its position vector r (in m ) and velocity vector v(in m/s) at
time t=(π/2)s
Ans r=[(π-2)²+9]^(1/2)
V=√13
Classical Mechanics
can two identical cars with different number of passengers have the same mass?
Classical Mechanics
A ball is thrown vertically upwards with an initial velocity u reaches maximum height in 5 sec.The ratio of distance travelled by the ball in the second and seventh second is? ( g=10m/s²)
Classical Mechanics
The bird in fig A drops the stone from a height of 88 m above the
water surface. Initially, the stone has zero vertical velocity. How
long will it take the stone to reach the surface of the pond?
Assume air resistance is negligible.
water surface. Initially, the stone has zero vertical velocity. How
long will it take the stone to reach the surface of the pond?
Assume air resistance is negligible.
Classical Mechanics
Write down expectation value of 1/r for hydrogen atom.
