Once again, I have some confusing problems for math. If you know any answers, even if you only know one, please tell me the answer and walk me through it so I can actually understand how you get to it. Thanks!

#1: A space craft travels at a speed of 8/10 of a mile per second. How many days does it take it to travel from the Earth to the Moon, a distance of 240,000 miles?

At first, my answer I got was 208 1/3 days, but to me that sounds way to long for a spacecraft, considering how fast it is going. The other possible answers I got are that maybe I need to move the decimal point, so maybe 20.8 days or 2.08 days. Please tell me if any of these answers are right.

#2: How much force, in g•cm/s² (that's to the second power, if you can't read that symbol) is exerted by a golf ball striking a tree while accelerating at 20 cm/s²? Show how you can solve this problem without knowing that F = ma.

Of course, I don't even know what in the world F = ma is. Okay, my sister told me it means Force equals mass times acceleration, but I wouldn't even know how to apply it to this problem.
Try to solve this problem. It did say in the problem a golf ball like the one in problem #9 on my worksheet, so if you need more info to solve this problem, I can give you problem #9, too.

I appreciate any help you can give me. Thank you!

#1: A space craft travels at a speed of 8/10 of a mile per second. How many days does it take it to travel from the Earth to the Moon, a distance of 240,000 miles?

so how many seconds are in a day?

60sec/min*60min/hr*24hrs/day=86400sec/day
So how fast is it going?
8/10 mi/sec*86400sec/day=? mi/day

So how long does it take?
timeindays=distanceinmiles/speedinMi/day

Thanks! Could you explain how you got your answer a little more and give me the numbers, too? Do you have any idea for the answer to number 2? Thanks so much!

#1: To find the number of days it takes for the spacecraft to travel from Earth to the Moon, we need to divide the distance between them by the speed of the spacecraft.

Given that the spacecraft travels at a speed of 8/10 of a mile per second and the distance between Earth and the Moon is 240,000 miles, we can set up a proportion to solve for the equivalent number of days:

(8/10 mile per second) / (x days) = 240,000 miles

To isolate x (the number of days), we can rewrite the proportion as:

(8/10) / x = 240,000

To solve for x, we can cross-multiply:

8/10 = 240,000 * x

Now, divide both sides of the equation by 240,000:

(8/10) / 240,000 = x

Simplifying the fraction on the left-hand side:

0.008 / 240,000 = x

Now, divide 0.008 by 240,000:

x = 0.0000000333333

This value represents the fraction of a day. To convert it to days, we need to find the reciprocal (1/x):

1 / 0.0000000333333 ≈ 30 million days

So, the spacecraft takes approximately 30 million days to travel from Earth to the Moon.

Both of the possible answers you mentioned, 208 1/3 days and 20.8 days, are not correct in this case.

#2: To find the force exerted by the golf ball striking the tree, we can use the formula F = ma, where F represents the force, m represents the mass, and a represents the acceleration.

In order to solve this problem without knowing the mass of the golf ball (as stated in problem #9), we need to make use of Newton's Second Law of Motion, F = ma, and the concept of inertia.

When the golf ball strikes the tree, it experiences a change in momentum. According to Newton's Third Law of Motion, every action has an equal and opposite reaction. The impact force exerted by the golf ball on the tree is therefore equal to the change in momentum of the ball.

Since the problem does not provide the mass of the golf ball, we can assume it remains constant. This means that the acceleration of the golf ball, as stated in the problem, is constant at 20 cm/s².

To find the force exerted by the golf ball striking the tree, we need to determine the change in velocity of the ball. Without more information, we cannot calculate the exact change in velocity.

However, if we assume that the ball comes to a stop immediately upon impact (a highly simplified assumption), we can use the formula v = u + at, where v represents final velocity, u represents initial velocity, a represents acceleration, and t represents time. Here, u = 0 cm/s, since the ball starts from rest.

We can rearrange the equation to solve for time:

t = (v - u) / a

In this case, since the final velocity is 0 (the ball stops upon impact), we can simplify it further:

t = (0 - 0) / a = 0 / a = 0

Therefore, according to this simplified assumption, the impact time is 0 seconds.

Now, coming back to Newton's Second Law, F = ma, we can simplify it:

F = m * a

Since the acceleration is given as 20 cm/s², we can substitute that value in:

F = m * 20 cm/s²

So, without knowing the mass of the golf ball, we can only say that the force exerted by the golf ball striking the tree is 20 times the mass of the ball in grams expressed in g·cm/s².

Keep in mind that this solution is based on assumptions and simplifications, which may not be entirely accurate in a real-world scenario.