3203

Physics Kinematics Level: High School

Mechanics

A meter stick is placed flat on a table, and one end of the meter stick is attached to the table. The other end of the meter stick can thus rotate freely around this attached end (the axis) over the surface of the table. Two forces, both parallel to the tabletop, are applied to the stick in such a way that the net torque is zero. One force has a magnitude of 4.00 N and is applied perpendicular to the stick at the free end. The other force is applied on the opposite side of the above perpendicular force, but it has a magnitude of 6.00 N and acts at a 60.0 degree angle with respect to the stick. Where along the stick is the 6.00 N force applied? Express this distance with respect to the axis of rotation.

a. 0.667 m

b. 0.770 m

c. 0.834 m

d. 0.725 m

e. 0.783 m




3202

Physics Kinematics Level: High School

Mechanics

Two brothers, Dustin and Parker, have a combined mass of 168 kg. At an ice skating rink , they stand close together on skates, at rest and facing each other, with a compressed spring between them. The spring is kept from pushing them apart because they are holding each other. When they release their arms, Dustin moves off in one direction at a speed of 0.90 m/s, while Parker moves off in the opposite direction at a speed of 1.2 m/s. Assuming that friction is negligible, find Dustin’s mass.

a. 72 kg

b. 80 kg

c. 96 kg

d. 77 kg

e. 84 kg




3197

Physics Kinematics Level: High School

Mechanics

An elevator has a mass of 1170 kg and carries a maximum load of 652 kg. A constant frictional force of 3570 N retards its motion upward. The acceleration of gravity is 9.8 m/s/s. What must be the minimum power delivered by the motor to lift the elevator at a constant speed of 3.63 m/s? Answer in units of W. What power must the motor deliver at an instantaneous speed of 3.63 m/s if the elevator is designed to provide an upward acceleration of 0.718 m/s/s? Answer in units of W.



3196

Physics Kinematics Level: High School

Mechanics

An elevator has a mass of 1170 kg and carries a maximum load of 652 kg. A constant frictional force of 3570 N retards its motion upward. The acceleration of gravity is 9.8 m/s/s. What must be the minimum power delivered by the motor to lift the elevator at a constant speed of 3.63 m/s? Answer in units of W. What power must the motor deliver at an instantaneous speed of 3.63 m/s if the elevator is designed to provide an upward acceleration of 0.718 m/s/s? Answer in units of W.



3195

Physics Kinematics Level: Middle School

Motion in 2D and 3D(Mechanics)

A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.5 seconds later. How high is the cliff?



3194

Physics Kinematics Level: High School

Motion in 2D and 3D(Mechanics)

A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.5 seconds later. How high is the cliff?



3135

Physics Kinematics Level: High School

The vector position of a particle varies in time according to the expression r = (3.00i-6.00 t^2j) m.

a) find the expressions for the velocity and acceleration as functions of time .

b) determine the particles position and velocity at t = 1.00 s .




3120

Physics Kinematics Level: High School

First Equation of Motion

Time is 3.6 sec distance is 20 meters initial velocity is 0 What is the final velocity ?



3068

Physics Kinematics Level: High School

Resultant Velocity

A person has a mass of 80 kg. They go for a run with a constant speed of 3.5 m/s. When running against a constant resistive wind force a person needs to generate 50 W more than when they run with the same wind force pushing them forward . How strong is the wind force ? How much power does this person have to generate when running with the wind ?



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 .




2978

Physics Kinematics Level: High School

Relative Velocity

A motorist with an expired lag is traveling at 10.0 m/s down a street and a policemen on a motorcycle takes 5.00 s to give chase , at an acceleration of 2.00 m/s . Find

a) The time it takes to catch the car

b) The distance the trooper travels while overtaking the motorist




2977

Physics Kinematics Level: High School

One dimensional Motion

Suppose a driver going 17.5 m/s slams on he brakes , stopping the car in 4.00 s . Find ,

a) The acceleration

b) The distance the car travels assuming the acceleration is constant .




2976

Physics Kinematics Level: High School

Free fall

A small mailbag is released from a helicopter that is descending steadily at 1.50 m/s .After 2.00 s ,

a) What is the speed of the mailbag

b) How far is it below the helicopter ?

c) What are the answers to parts a and b if the helicopter is rising steadily at 1.50 m/s ?




2975

Physics Kinematics Level: High School

One Dimensional Motion

In 1865 Jules Verne proposed sending men to the moon by firing a space capsule from a 220 m long cannon with final speed of 10.97 km/s . What would have been the unrealistically large acceleration experienced by the space travelers during their launch ?



2974

Physics Kinematics Level: High School

Relative Velocity

Two cars travels in the same direction along a straight highway , one at a constant speed of 55 mi/h and the other at 70 mi/h .

a) Assuming that they start at the same point , how much sooner does the faster car arrive at a destination 10 mi away ?

b) How far must the faster car travel before it has a 15-min lead on the slower car ?


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