Maths-

General

Easy

Question

# Escape velocity is the velocity at which an object must be travelling to leave a star or planet without falling back to its surface or into orbit. Escape Velocity V depends on the gravitational constant G , the mass M, and radius r, of the star or planet .

Rewrite the equation to solve for mass,

The escape velocity of earth is 11, 200 m/s and its radius is 6,371,000 m. The gravitational constant is 6.67x 10^-11. What is the earth's mass in kilograms?

Hint:

### Substitute the values in the equation and then solve.

## The correct answer is: not stretchy rightwards double arrow M equals 6 cross times 10 to the power of 24

### Complete step by step solution:

Here we have the equation

On squaring, we have

We have

On substituting in the given equation, we have

.

### Related Questions to study

Maths-

### Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

### Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

Maths-General

Maths-

### What are the solutions to the equation

### What are the solutions to the equation

Maths-General

Maths-

### Ella wrote three different computer apps to analyze some data. The table show the time in millisecond y for each app to analyze data as a function of the number of data items x.

a. Use regression on a graphing calculator to find a function that models each data set . Explain your choice of model .

b. Make a conjecture about which app will require the most time as the number of data items gets very large. How could you support your conjecture

### Ella wrote three different computer apps to analyze some data. The table show the time in millisecond y for each app to analyze data as a function of the number of data items x.

a. Use regression on a graphing calculator to find a function that models each data set . Explain your choice of model .

b. Make a conjecture about which app will require the most time as the number of data items gets very large. How could you support your conjecture

Maths-General

Maths-

### What is the solution to the equation

### What is the solution to the equation

Maths-General

Maths-

### Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

### Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

Maths-General

Maths-

### Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

### Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

Maths-General

Maths-

### Determine whether a linear , quadratic or exponential function best models the data . Then use regression to find the function that models the data ?

### Determine whether a linear , quadratic or exponential function best models the data . Then use regression to find the function that models the data ?

Maths-General

Maths-

### Suppose that Y= 3 and Z= 16. Solve for the unknown value in the equation Round to the nearest tenth if necessary.

### Suppose that Y= 3 and Z= 16. Solve for the unknown value in the equation Round to the nearest tenth if necessary.

Maths-General

Maths-

### Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v 1.225√a to find the altitude at which Derek is hang gliding

### Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v 1.225√a to find the altitude at which Derek is hang gliding

Maths-General

Maths-

### Big Ben’s pendulum takes 4s to swing back and forth. The formula t = 2The formula The formula t=2π√(L/32) gives the swing time, t, in seconds, based on the length of the pendulum, L, in feet. What is the minimum length necessary to build a clock with a pendulum that takes longer than

Big ben’s pendulum to swing back and forth?

### Big Ben’s pendulum takes 4s to swing back and forth. The formula t = 2The formula The formula t=2π√(L/32) gives the swing time, t, in seconds, based on the length of the pendulum, L, in feet. What is the minimum length necessary to build a clock with a pendulum that takes longer than

Big ben’s pendulum to swing back and forth?

Maths-General

Maths-

### The half life of a certain type of soft drink is 5h. If you drink 50mL of this drink, the formula tells the amount of drink left in your system after t hours. How much of the soft drink will be left in your system after 16 hours?

### The half life of a certain type of soft drink is 5h. If you drink 50mL of this drink, the formula tells the amount of drink left in your system after t hours. How much of the soft drink will be left in your system after 16 hours?

Maths-General

Maths-

### Specialists can determine the speed a vehicle was travelling from the length of its skid marks, d,mand coefficient of friction, f. The formula for calculating the speed, s, is s = 15.9 √df. Rewritethe formula to solve for the length of the skid marks

### Specialists can determine the speed a vehicle was travelling from the length of its skid marks, d,mand coefficient of friction, f. The formula for calculating the speed, s, is s = 15.9 √df. Rewritethe formula to solve for the length of the skid marks

Maths-General

Maths-

### Solve using the formula BSA =

A sports medicine specialist determines that a hot-weather training strategy is appropriate for a165 cm tall individual whose BSA is less than 2.0. To the nearest hundredth, what can the mass of the individual be for the training strategy to be appropriate

### Solve using the formula BSA =

A sports medicine specialist determines that a hot-weather training strategy is appropriate for a165 cm tall individual whose BSA is less than 2.0. To the nearest hundredth, what can the mass of the individual be for the training strategy to be appropriate

Maths-General

Maths-

### Solve the radical equation Check for extraneous solutions

### Solve the radical equation Check for extraneous solutions

Maths-General

Maths-

### What are the solutions to the equation

### What are the solutions to the equation

Maths-General