Mechanics | Relativity Answers

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A 200g block connected to a light spring for which the force constant is 5N/m is free to oscillate on a horizontal friction less surface. The block is displaced from equilibrium position and released from rest.

1)Determine amplitude, frequency and period.

2)Determine the maximum velocity and maximum acceleration.

3)Find the position, velocity and acceleration when time is one second.

Show that the maximum tension in the string of a simple pendulum, when the

amplitude θ is small, is mg(1+(θ)^2). At what position of the pendulum is the tension a

maximum?

Now imagine that one cart is oriented perfectly in-line with the string, but the other cart is skewed so that there is an angle, θ, between the direction that the string was pulling and the direction the force sensor can measure.

(a) Would the force sensor on the angled cart read higher or lower?

A car moving with a constant speed of 55.0km/hr completes a circular track in 7.50 minutes. Calculate the magnitude of the acceleration of the car.

A man of mass 65 kg stands on a solid floating on water. If the solid has a density of 0.6 g/cm3

and the man standing on it is just barely out of the surface of the water, determine the volume of

the solid.

Ice has a density of 0.92 g/cm3 and seawater has a density of 1.04 g/cm3

. Determine the total

volume of a floating iceberg if 30 m3

is above the seawater

A hydraulic press has a small piston of diameter 2 cm. If a force of 60 N is applied to the smaller

piston, a force of 3000 N is exerted on the larger piston. What is the diameter of the larger piston?

an object moving at 15m/s slows uniformly at the rate of 3m/s each second for a time of 2 sec..determine final velocity average velocity and distance moved

rectangular open channel 5m wide carrying a flow of 8 m3/s. Slope of the channel bed is 0.00652. Hydraulic jump occurs in the downstream part of a channel and produced a sequent depth of 2.5m. use n=0.015.

a. Determine the depth before the jump in 

Explain Momentum and its associated principles.