646

Physics Gravitation Level: High School

An equilateral triangle 57.0 m on a side has a m1 = 30.00 kg mass at one corner , a m2 = 35.00 kg mass at another corner , and a m3 = 145.00 kg mass at the third corner . Find the magnitude and direction of the net force acting on the 30.00 kg mass .



645

Physics Gravitation Level: High School

An astronaut exploring a distant solar system lands on a unnamed planet with a radius of 4110 km . When the astronaut jumps upward with an initial speed of 4.20 m/s , she rises to a height of 0.55 m . What is the mass of the planet ?



644

Physics Gravitation Level: High School

(a) Find the acceleration of gravity on the surface of Saturn .

(b) Find the acceleration of gravity on the surface of Pluto .




643

Physics Rotational Mechanics Level: High School

The three sphere in the figure at “click here” , with masses m1 = 765 g, m2 = 85g , and m3 = 245 g , have their centers on a common line , with L = 12 cm and d = 4.0 cm . You move the middle sphere until its center-to-center separation from m3 is d = 4.0 cm .

(a) How much work is done on m2 by you ?




642

Physics Gravitation Level: High School

The masses in a Cavendish apparatus are m1 = 11 kg and m2 = 10 g , the separation of their centers is 6 cm , and the rod separating the two small masses is 25 cm long .

(a) What is the force of attraction between each small sphere and the nearby larger sphere ?

(b) What torque must be exerted by the suspension to balance these forces ?




641

Physics Rotational Mechanics Level: High School

A planet moves in an elliptical orbit about a star under the action of gravitational forces .

A) List the converved quantities of the system .

B) Suppose the closet approach the planet makes to the star occurs at A , a distance of 10^7 meters and the furthermost approach occurs at B a distance of 3*10^7 meters . If the planet speed at A is 10^4 m/s What is its velocity at B ?




640

Physics Rotational Mechanics Level: High School

A square object with a circle cut in its center spins about its center of mass , with radius R . The object has mass M and the length of the edge of the square is 2R . What is the moment of inertia for this object ?

An early invention was a steam apparatus made from a cauldron that contained water heated by fire . The steam was fed up into a hollow spherical container with two spouts on each side . When the steam exited it would spin the container at high speeds . The spherical container has a radius of 0.20m and mass of 10kg . The two spouts are massless , but extend an additional 0.10m above the surface of the container . The container is hollow , and the moment of inertia of the steam inside is not considered .

Explain the full energy cycle of this problem , beginning with where it comes from and explain its transformation into other forms of energy .



639

Physics Rotational Mechanics Level: High School

A square object with a circle cut in its center spins about its center of mass , with radius R . The object has mass M and the length of the edge of the square is 2R . What is the moment of inertia for this object ?

An early invention was a steam apparatus made from a cauldron that contained water heated by fire. The steam was fed up into a hollow spherical container with two spouts on each side . When the steam exited it would spin the container at high speeds . The spherical container has a radius of 0.20m and mass of 10kg . The two spouts are massless , but extend an additional 0.10m above the surface of the container . The container is hollow , and the moment of inertia of the steam inside is not considered .

How long does it take for the sphere to get to the maximum angular speed found above ?



638

Physics Rotational Mechanics Level: High School

A square object with a circle cut in its center spins about its center of mass , with radius R . The object has mass M and the length of the edge of the square is 2R . What is the moment of inertia for this object ?

An early invention was a steam apparatus made from a cauldron that contained water heated by fire . The steam was fed up into a hollow spherical container with two spouts on each side . When the steam exited it would spin the container at high speeds . The spherical container has a radius of 0.20m and mass of 10kg . The two spouts are massless , but extend an additional 0.10m above the surface of the container . The container is hollow , and the moment of inertia of the steam inside is not considered .

If the energy contained with in the spherical container is completely converted to rotational kinetic energy , it will yield an estimate of the maximum rotation rate of the vessel . What is this maximum value ?



637

Physics Rotational Mechanics Level: High School

A square object with a circle cut in its center spins about its center of mass , with radius R . The object has mass M and the length of the edge of the square is 2R . What is the moment of inertia for this object ?

An early invention was a steam apparatus made from a cauldron that contained water heated by fire . The steam was fed up into a hollow spherical container with two spouts on each side . When the steam exited it would spin the container at high speeds . The spherical container has a radius of 0.20m and mass of 10kg . The two spouts are massless , but extend an additional 0.10m above the surface of the container . The container is hollow , and the moment of inertia of the steam inside is not considered .

If the pressure inside reaches 1.5 atmospheres what is the angular acceleration of the container? The area of the spouts are circles of radius 0.010m, and outside pressure is 1 atmosphere .



636

Physics Rotational Mechanics Level: High School

A square object with a circle cut in its center spins about its center of mass , with radius R . The object has mass M and the length of the edge of the square is 2R . What is the moment of inertia for this object ?

An early invention was a steam apparatus made from a cauldron that contained water heated by fire . The steam was fed up into a hollow spherical container with two spouts on each side . When the steam exited it would spin the container at high speeds . The spherical container has a radius of 0.20m and mass of 10kg . The two spouts are massless , but extend an additional 0.10m above the surface of the container . The container is hollow , and the moment of inertia of the steam inside is not considered .

What is the moment of inertia of the container ?



635

Physics Work,Power & Energy Level: High School

Can Archimedes principle be used to measure the density of a solid object ? Can it be applied to the problem of measuring the density of a fluid ? Write an equation that will handle these two problems ?



634

Physics Work,Power & Energy Level: High School

A bug move radially outward on a spinning 45 rpm record . How do its angular speed and tangential speed change as it moves to larger radii ?



633

Physics Work,Power & Energy Level: High School

Two automobiles of equal mass approach an intersection . One vehicle is traveling with velocity 13.0 m/s toward the east , and the other is traveling north with speed V2i . Neither driver sees the other . The vehicles collide in the intersection and stick together , leaving parallel skidmarks at an angle of 55.0 degrees north of east . The speed limit for both roads is 35 mi/h , and the driver of the northward-moving vehicle claims he was within the speed limit when the collision occurred . Is he telling the truth ?



632

Physics Work,Power & Energy Level: High School

A 9.0 kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0 kg opponent running north with a speed of 3.00 m/s . If the collision is perfectly inelastic ,

(a) Calculate the speed and direction of the players just after the tackle

(b) Determine the mechanic energy lost as a result of the collision . Account for the missing energy .


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