ANSWER:
3408.81 kg
STEP-BY-STEP EXPLANATION:
Given:
v = 111 m/s
Ek = 21000000 J
We have that the formula for kinetic energy is as follows:
We substitute the values given in the exercise and solve for m (mass)
The mass of the helicopter is 3408.81 kilograms.
Answer:
d.100 meters
Explanation:
The diameter of the Milky Way Galaxy is approximately 100,000 light years.
Here we are using 1 millimiter (1 mm) to represent 1 light-year (1 ly). So, we can set the following proportion:
and by finding x, we find the diameter of the Milky Way Galaxy in the scale used:
so the correct answer is
d. 100 meters
Explanation:
M₂ = Fr²/GM₁
M₂ = [(132N)(.243m)²]/[(6.67*10^-11N*m²/kg)(1.175*10^4kg)]
M₂ = (7.79N*m²)/(7.84*10^-7N*m²)
M₂ = 9.94*10^6 kg
The answer is B because it literally says it right there, and I don't wanna make it impossibly confusing for a middle school student, lol.
Answer:
d(L)/dt = 6,96 ft/s
Explanation:
We have a right triangle where the hypotenuse (L) is the distance between the player and home plate, the legs are the line between third base and home plate ( 90 feet ) and distance between the player and third base (x) (over the line between second and third base). So we can write
L² = (90)² + x²
Applying differentiation in relation to time, on both sides of the equation we have:
2*LdL/dt = 0 + 2*x d(x)/dt (2)
In this equation we know:
d(x)/ dt = 22 feet/sec
x = 30 ft
We need to calculate L when the player is at 30 feet from third base
Then
L² = (90)² + (30)²
L² = 8100 + 900
L = √9000
L =94,87 feet
Then we are in condition for calculate d(L)/dt from the equation
2*Ld(L)/dt = 0 + 2*x d(x)/dt
2*94,87 * d(L)/dt = 2* 30* 22 ⇒ 189,74 d(L)/dt = 1320
d(L)/dt = 1320/ 189,74
d(L)/dt = 6,96 ft/s
