An object on a planet has a mass of 243 kg. What is the acceleration of the object, if the radius of the planet is 2.32 x 10^7 m , and the mass of planet is 6035 x 10^30 kg? Estimate G as 6067 x 10^-11 N (m/kg)^2

The acceleration of the object is 7.87 x 10⁵ m/s²

Explanation:

Given;

mass of the object, m = 243 kg

mass of the planet, M = 6.35 x 10³⁰ kg

radius of the planet, R = 2.32 x 10⁷ m

universal gravitation constant, G = 6.67 x 10⁻¹¹ Nm/kg²

Apply Newton's second law of motion and Newton's gravitational law;

Therefore, the acceleration of the object is 7.87 x 10⁵ m/s²

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation: