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Let planet A and planet B be two spherical planets such that the gravitational field at the surface of A is 8.0 times stronger than the gravitational field at the surface of B. Also, the radius of planet A is double the radius of planet B. Which planet has a higher density, and by what factor?


Two students are sitting 1.50 m apart. One student has a mass of 70.0 kg, and the other has a mass

of 52.0 kg. What is the gravitational force between them


Find the magnitude of the force between 1C and 2C that are 10 cm apart


How does the ideal mechanical


advantage (IMA) of an inclined plane vary


with the angle 𝜃 of the plane; that is, what


trigonometric function of 𝜃 gives the value


of IMA?

What type of electric cell would you recommend for practicals in schools

A 10 kg block of metal measuring 12 cm x 10 cm x 10 cm is suspended from a scale and immersed in water. The 12 cm dimension is vertical, and the top of the block is 5 cm below the surface of the water as shown in the figure. (a) What are the forces acting on the top and on the bottom of the block? (b) What is the reading of the spring scale? 86.2 N (c) Show that the buoyant force equals the difference between the forces at the top and bottom of the block.


An automobile with a mass of 1250 kg follows a curved banked road with a radius of 35 m. the road is banked, so that it tilts toward the center of the curve with an angle of 9.5°. If the coefficient of kinetic friction is 0.500, how large is the centripetal force from friction and gravity? If this force is equal to the force needed to maintain the automobile’s circular motion, what is the auto’s maximum tangential speed?


if an object in periodic motion completes one full cycle in 0.5 seconds, what is the frequency of the motion?




a. 0.5 hertz =



b. 1 herts =



c. 2 hertz =

Over the years, building have been built out of lighter materials. How has this affected the natural vibration frequencies of buildings and the problem of resonance due to passing trucks, airplanes, or natural sources of vibration?

A box of mass 5.5kg is resting on a surface and is attached to a hanging 1.0kg bucket by 

lightweight string and a frictionless pulley. The coefficient of static friction between the surface and the box is us=0.40.


a) How many grapes (mgrape =16g) can a student put in the basket without moving the box? T/3


b) When just enough whole grapes have been added to the basket, the system begins to move. If the coefficient of kinetic friction is pk=0.34 between the box and the surface, calculate the

acceleration of the bucket and the tension between the box and bucket. T/4



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