The froghopper, a tiny insect, is a remarkable jumper. suppose you raised a colony of the little critters on titan, a moon of saturn, where the acceleration due to gravity is only 1.35 m/s2, compared to the earth value of g = 9.81 m/s2. if on earth a froghopper\'s maximum height is h and maximum horizontal range is r, what would its maximum height and range be on titan in terms of h and r? assume the froghopper\'s takeoff velocity is the same on titan as on earth.

Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. the electric field at a point p, which is 0.50 m from the center of the sphere, is 15,000 n/c and is directed radially outward. what is the maximum magnitude of the electric field due to this sphere

Avoltage source vs = 10 v is in series with a resistor of 10 kohm. if the source transformation theorem is applied, what will the value of the current source be in ma ?

Scientists use laser range-finding to measure the distance to the moon with great accuracy. a brief laser pulse is fired at the moon, then the time interval is measured until the "echo" is seen by a telescope. a laser beam spreads out as it travels because it diffracts through a circular exit as it leaves the laser. in order for the reflected light to be bright enough to detect, the laser spot on the moon must be no more than 1.0 km in diameter. staying within this diameter is accomplished by using a special large-diameter laser. part a if λ = 540nm , what is the minimum diameter of the circular opening from which the laser beam emerges? the earth-moon distance is 384,000 km. express your answer to two significant figures and include the appropriate units.