The period of revolution (t) of a planet moving round the sun in a circular orbit depends upon the radius (r) of the orbit, mass of

the sun (M) and gravitational constant (G). Show

dimensionally that t² x R³, hence find the numerical value of t

if r= 6.4 μm, M=2000km, G= 6.67 x 10-11Nm²kg ²,

constant of proportionality = 0.5​

1. jay fills a wagon with sand (about 20 kg) and pulls it with a rope 30 m along the beach. he holds the rope 25° above the horizontal. the rope exerts a 20-n tension force on the wagon. how much work does the rope do on the wagon?

The two stars in a certain binary star system move in circular orbits. the first star, alpha, has an orbital speed of 36 km/s. the second star, beta, has an orbital speed of 12 km/s. the orbital period is 137 d. a) what is the mass of the star alpha? b) what is the mass of the star beta?

10 points! will mark brainiest! in a heat engine if 1,000 j of heat enters the system and the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2,000 j 1: write the equation 2: list out your known variables 3: plug the numbers into the equations 4: solve 5: write your solution statement that includes initial energy and final energy added you so much!