3042

Physics Waves And Oscillations Level: High School

Time Period of a Simple Pendulum

A pendulum with a period of 1 s on Earth, where the acceleration due to gravity is g, is taken to another planet , where its period is 2 s . The acceleration due to gravity on the other planet is most nearly ______ .

1) ag = 4g

2) ag = g/2

3) ag = 2g

4) ag = g

5) ag = g/4




3041

Physics Waves And Oscillations Level: High School

Total Energy of Simple Harmonic Motion

A 8.1 kg object oscillates on a spring with an amplitude of 11.8 cm with a maximum acceleration of 7.2 m/s^2 . Find the total energy . Answer in units of J .



3040

Physics Waves And Oscillations Level: High School

Collision

A(n) 11.4 g bullet is fired into and embeds itself in a 2.62 kg block attached to a spring with a spring constant of 17.2 N/m and whose mass is negligible . How far is the spring compressed if the bullet has a speed of 215 m/s just before it strikes the block, and slides on a frictionless surface ? Answer in units of m .



3039

Physics Waves And Oscillations Level: High School

A(n) 0.166 kg mass is attached to a spring and undergoes simple harmonic motion with a period of 0.0346 s . The total energy of the system is 4.7 . Find the amplitude of the motion . Answer in units of m .



3038

Physics Waves And Oscillations Level: High School

Maximum Speed in Simple Harmonic Motion

An ideal massless spring is fixed to the wall at one end, as shown at “click here” . A block of mass M attached to the other end of the spring oscillates with amplitude A on a frictionless , horizontal surface . The maximum speed of the block is vm . What is the force constant k of the spring ?



3037

Physics Waves And Oscillations Level: High School

Energy in Simple Harmonic Motion

The graph at “click here “ represents the potential energy U as a function of displacement x for and object on the end of a spring (F = -kx) oscillating in simple harmonic motion with amplitude x mass . Which of the graphs (from 1-7) represents the kinetic energy K of the object as a function of displacement x ?



3036

Physics Waves And Oscillations Level: High School

Spring Constant

A car with bad shock absorbers bounces up and down with a period of 1.88 s after hitting a bump . The car has a mass of 1950 kg and is supported by four springs of equal force constant k . Determine a value for k . Answer in units of N/m .



3035

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

The oscillation of a mass-spring system x = xm cos (omega t + o wit), Where xm is a positive number. At time t = 0 , the mass is at the equilibrium point x = 0 and it is moving with positive velocity v0 . What is the phase angle ø ( o wit) ?



3034

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A block of unknown mass is attached to a spring of spring constant 3.89 N/m and undergoes simple harmonic motion with an amplitude of 4.3 cm . When the mass is halfway between its equilibrium position and the endpoint , its speed is measured to be v = 38.8 cm/s . Calculate the mass of the block . Answer in units of kg .



3033

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A piston in an automobile engine is in simple harmonic motion . Its amplitude of oscillation from equilibrium (centered ) position is -+ 6.75 cm and its mass is 1.06 kg . Find the maximum velocity of the piston when the auto engine is running at the rate of 4550 rev/min . Answer in units of m/s .



3032

Physics Gravitation Level: High School

Two clocks are taken from the earth to the moon . the first clock uses a pendulum mechanism, while the second clock uses a spring-loading mechanism. What happens with the time displayed by the pendulum clock ?

a) faster

b) no change

c) slower

What happens with the time displayed by the spring-loaded clock ?

a) no change

b) slower

c) faster




3031

Physics Kinematics Level: High School

Projectile Motion

Hansel and his little sister Gretel were walking home from school along a polder when they saw a stream of water squirting horizontally from a hole in the dyke. Hansel used a meter stick and found that the hole was a distance Y1 = 129.9 cm above the polder and that the water landed a distance X1 = 1.33 meters from the base of the Dyke . Hansel sent Gretel running for help and stuck his finger, (cross sectional area A1 = 1.00 cm^2) into the hole . While Hansel waited for help, he used the physics he learned in kindergarten to calculate .

a) Time , T, the water is in the air .

b) The distance Vo, x , of the water as it exits the hole .

d) The velocity, V, of the water as it hits the polder .

e) The cross sectional area , A , of the stream of water as it hits the polder .




3030

Physics Rotational Mechanics Level: High School

Conservation of Energy

Two physics students , Joe and Willie , decided to fling balloons filled with M1 = 71.9 grams of ice water at coeds who are sun bathing on the roof of a sorority house two blocks east of the physics building at UC Berkeley . Joe and Willie built a trebuchet on the roof of the physics building . For the large mass , M2, they cast a solid lead sphere D2 = 24.2 cm in diameter . M1 was mounted so that its center of mass is at a distance L1 = 4.46 m from the axis of rotation and M2 was mounted so that its center of mass was L2 = 0.26 m from the axis of rotation. Assume that the trebuchet is loaded in the horizontal position and that the balloon leaves the arm at the highest point of rotation. Ignore friction, the moments of inertia of the arms, etc .

a) Calculate the mass of the load sphere .

b) Calculate maximum angular velocity achieved by the trebuchet .

c) Calculate the tangential velocity with which the balloon begins its flight




3029

Physics Rotational Mechanics Level: High School

Circular Motion

Atilla (mass M1 = 3.99 kg ) has fallen into a well . A freak earthquake has set the water in the well spinning (W1 = 3.99 Rad/sec) about a vertical axis thus carrying Attila around and around . The radius of the well is R1 = 17.1 cm . Calculate Atilla’s centripetal acceleration . Ac, the centripetal force on Atilla Fc, and Atilla’s Tangential Velocity , Vt.



3027

Physics Force & Laws Of Motion Level: High School

In the set up shown at “click here” , m = 1.20 kg , Theta = 20.0 degrees , Ignore friction .

a) If the block is in static equilibrium , what is the tension in the spring ?

b) The string brakes and the clock slides through a rough patch on the incline that is 1.00 m long . If the coefficient of kinetic friction is 0.200 , how long it takes the block to slide through the rough patch ?


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