1. Potential Energy = mgh
h = U_g / (mg) = 14 / (17 * 9.81) = <u>0.084 m above the ground.</u>
2. Kinetic Energy = 1/2 mv^2
m = 2K_e / (v^2) = <u>2.45 kg</u>
3. U_g = mgh = (1200)(9.81)(24) = <u>282528 J</u>
4. U_g = mgh = (478)(9.81)(150) = <u>703377 J</u>
5. U_g = mgh = (100)(9.81)(12.5) = <u>12262.5 J</u>
6. h = U_g / (mg) = 14 / (17 * 9.81) = <u>0.084 m above the ground.</u>
<u />
7. m = U_g / (gh) = 1500 / (9.81 * 35) = <u>4.37 kg</u>
For this case we must evaluate the following expression:
14 + (- 8) ÷ 2 * -3
According to the method of algebraic resolution, called PEMDAS, the divisions and multiplications must be made from left to right, before the addition and subtraction, then:
14 + (- 4) * - 3 =
We eliminate the parenthesis keeping in mind that 

Equal signs are added and the same sign is placed:

Answer:
26
Answer:
see explanation
Step-by-step explanation:
given 
To rationalise multiply the numerator/denominator by the conjugate of the denominator
the conjugate of 3 + 7i is 3 - 7i, hence

distribute the numerator/denominator
=
[ note that i² = - 1 ]
= 
= 
=
+
i
=
+
i ← in standard form
Answer:
C
Step-by-step explanation:
To find the slope between any two points, we can use the slope formula:

Where (x₁, y₁) and (x₂, y₂) are two, separate points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute them into the slope formula to get:

Subtract:

Hence, our slope is -2.
So, our answer is C.
This is a physics problem.
The law is that the momentum is preserved: total momentum before collsion = total momentum after collision
Momentum before collision = 80 kg.m/s - 100 kg.m/s = -20 kg.m/s
Then answer is b. - 20 kg.m/s