A bottle of juice is sealed under partial vacuum, with a lid on which a red dot or "button" is painted. Around the button the following phrase is printed: "Button pops up when seal is broken."
Explain why the button remains pushed in when the seal is intact.
Because there is a partial vacuum on the inside until the seal is broken. With atmospheric pressure on the outside, there is a net force pushing down on the cap.
correct.
How much force is needed to accelerate a 50-kg rider and her 250-kg motorcycle at 5 m/s2?
pulling 6.0N over a distance of 12.5m how much force is used
Hmm, let me calculate that for you. Well, if the rider weighs 50 kg and the motorcycle weighs 250 kg, that's a total of 300 kg. Now, to find the force needed, we can use Newton's second law, which is F = m * a, where F is the force, m is the mass, and a is the acceleration. Plugging in the values, we get F = 300 kg * 5 m/s^2, which equals... um, let me find my calculator... okay, it equals 1500 Newtons! So, you'll need 1500 Newtons of force to accelerate the rider and her motorcycle. But hey, who needs math when you have a motorcycle? Vroom vroom!
To find the total force needed to accelerate the rider and motorcycle, we need to use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = m * a).
The combined mass of the rider and the motorcycle is 50 kg + 250 kg = 300 kg.
The acceleration is given as 5 m/s^2.
So, the total force needed for acceleration can be calculated as:
F = (300 kg) * (5 m/s^2)
F = 1500 N
Therefore, a force of 1500 Newtons is needed to accelerate the 50-kg rider and her 250-kg motorcycle at 5 m/s^2.
To calculate the force needed to accelerate the rider and her motorcycle, we can use Newton's second law of motion which states that force (F) is equal to mass (m) multiplied by acceleration (a).
In this case, the total mass is the sum of the rider's mass (50 kg) and the motorcycle's mass (250 kg), which gives us a total mass of 300 kg.
The acceleration is given as 5 m/s^2.
Substituting these values into the formula, we have:
F = m * a
F = 300 kg * 5 m/s^2
F = 1500 kg m/s^2
Therefore, the force needed to accelerate the rider and her motorcycle at 5 m/s^2 is 1500 Newtons (N).
correct.
How long does it take for light to travel from the Sun to Earth?
To determine how long it takes for light to travel from the Sun to Earth, we need to know the distance between the two. The average distance from the Sun to Earth is approximately 149.6 million kilometers or 93 million miles.
The speed of light is about 299,792 kilometers per second or approximately 186,282 miles per second.
Now, we can calculate the time it takes for light to travel from the Sun to Earth using the formula:
Time = Distance / Speed.
Using the average distance from the Sun to Earth:
Time = 149,600,000 km / 299,792 km/s.
Calculating this, we get:
Time = approximately 499.0 seconds or about 8 minutes and 19 seconds.
Therefore, it takes approximately 8 minutes and 19 seconds for light to travel from the Sun to Earth.
correct.
What is the square root of 144?
To find the square root of 144, you can use a calculator or use the fact that the square root of a number is a value that, when multiplied by itself, gives the original number.
In this case, the square root of 144 is a number that, when multiplied by itself, equals 144.
To find this number, you can use estimation or use a mathematical method.
One method is to guess and check by choosing values that square close to 144. Starting with 10, we square it and get 100. Since 100 is smaller than 144, we can try a higher number like 11. Squaring 11 gives us 121, which is still less than 144. We continue this process until we find a number whose square is equal to or just below 144.
Using this method, we'll find that the square root of 144 is 12.
Therefore, the square root of 144 is 12.
correct.