Mechanics | Relativity Answers

two curling stones collide on an ice rink. stone 1 has a mass of 20kg and is moving north. Stone 2 was at rest initially. the stones collide dead center, sending stone 1 at 0.35 m/s and giving stone 2 a final velocity of 0.75 m/s to the north. Find the mass of stone 2 and the initial velocity of stone 1.

a spring scale is used to exert a net force of 2.7 N on a cart.if the cart’s mass is 0.64 kg,what is the cart’s acceleration

marble is dropped from rest onto the floor 2.4 meters below. if the marble bounces straight upward to a height of 1.2 meters, what is the impulse delivered to marble by the floor?

Consider two simple pendulums P and Q of equal length L and masses m1 and m2 respectively. Suppose the bobs of the pendulum are connected to each other by a weightless spring of force constant k such that in the equilibrium position, the spring is unstretched. Calculate the normal mode frequencies, and draw labelled diagrams corresponding to each mode.

The equation of motion of a particle moving along the x-axis is given by: d²x/dt² + 4dx/dt + 8x = 20cos2t. Calculate the amplitude, period and frequency of the oscillation after a long time has elapsed

Suppose that you are pushing a child on a swing, initially at rest, periodically. Draw a displacement-time graph for the resulting oscillatory motion of the swing

Show that the average energy of a weakly damped oscillator is given by:
< E > = E0 exp (-2bt)

What is the basis of representing the damping force in terms of velocity?

Calculate the depth in the ocean at which the
pressure is three times atmospheric pressure.
Atmospheric pressure is 1.013 × 105 Pa. The
acceleration of gravity is 9.81 m/s
2
and the
density of sea water is 1025 kg/m3
.
Answer in units of m.

Message: 5) A car accelerates at 4 meters/s/s. Assuming the car starts from rest, how far will it travel in 10
s?
i use equation of kinamtic formula and it is wrong why?
D=vit+.5at^2 ?
why it is not correct to use this formula?
vi= 0