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- What is the escape velocity of the Earth? (Give your answer in km/s.) Me = 5.98x1024 kg; Re = 6.37x106 m. G = 6.67x10-11 N m2/ kg2.An object is launched upward at the height of 200 meters. Its height can be modeled byh=−4.9t2+90t+200, where h stands for the object’s height in meters, and t stands for time passed in seconds since its launch. The object’s height will be 240 meters twice before it hits the ground. Find how many seconds since the launch would the object’s height by 240 meters. Round your answers to two decimal places if needed. The object’s height would be 240 meters the first time at seconds, and then the second time at seconds.Combining the circular motion with Newton’s Universal Gravitation Law, we have the following formula: ?=√???, rearrange this formula and calculate the mass of Mars in kilograms rounded to 2 significant figures considering the values for the circular speed and distance of 2.14.103 m/s.
- The velocity of a free falling object is given V = √√2gh where Vis velocity (in meters per second), g is acceleration due to gravity (in meters per second squared), and h is the distance (in meters) the object has fallen. The value of g depends on which body/planet is attracting the object. If an object his the surface with a velocity of 30 meters per second, from what height was it dropped if you are on Earth where g = 9.81 m/s²?An object is launched on the moon at 16 feet per second (f / s) from a 1152-foot tall tower. The equation for the object's height s at time t seconds after launch is s(t)=-16t^ ^ 2+16t+1152 , where s is in feet. When does the object strike the moon's surface and why?If a rock is thrown upward on the planet Mars with a velocity of 11 m/s, its height (in meters) after t seconds is given by H = 11t − 1.86t2. (a) Find the velocity of the rock after one second. ______m/s(b) Find the velocity of the rock when t = a ______m/s(c) When will the rock hit the surface? (Round your answer to one decimal place.)t =________s(d) With what velocity will the rock hit the surface? ______m/s
- If a rock is thrown upward on the planet Mars with a velocity of 11 m/s, its height (in meters) after t seconds is given by H = 11t − 1.86t2. (a) Find the velocity of the rock after one second. m/s(b) Find the velocity of the rock when t = a. m/s (c) When will the rock hit the surface? (Round your answer to one decimal place.)t = s(d) With what velocity will the rock hit the surface? m/sA projectile is shot upward from the surface of Earth with an initial velocity of 128 meters per second. Use the position function below for free-falling objects. What is its velocity after 4 seconds? After 10 seconds? (Round your answers to one decimal place.) s(t) = −4.9t2 + v0t + s0 4 s m/s 10 s m/sWhat is the acceleration, in meters per second squared, of a vehicle that accelerates from 4.7 to 22.5 meters per second and traverses a distance of 75.0 meters? (Round to the closest hundredth.)
- Many people mistakenly believe that the astronauts that orbit Earth are “above gravity.” Calculate g for space shuttle territory, 200 km above Earth’s surface. Earth’s mass is 6.0 × 1024 kg, and its radius is 6.38 × 106 m (6380 km). Your answer is what percentage of 10 m/s2?Surprsingly, very few athletes can jump more than 2 feet (0.6m) straight up. Use d=1/2gt squared and solve for the time one spends moving upward in a 0.6-m vertical jump. Then double it for the "hang time" -the time one's feet are off the ground.Oliver traveled 100 km at a certain speed. In going back, he increased his speed by 10 km/hr. If it took him a total of 11/3 hours, what was his original speed? Create an expression to: Oliver traveled 100 km at a certain speed. Create another expression to: In going back, he increased his speed by 10 km/hr. Formula: v = d/t