Explanation:
In order to compute correctly the sum of the two terms, we have to rewrite one of them such that they have the same exponent.
The two terms are:


For instance, we can re-write the second term such as it also has a power
. In order to do that, we have to move the decimal point one place to the left, therefore:

At this point, the two numbers have the same exponent, so we can just add them together by adding the bases and keeping the same exponent, -2:

Answer:
The 10 kg rock has more inertia than the other two rocks.
Explanation
Answer:
(1) V = 0.2 J (2) 0.05J
Explanation:
Solution
Given that:
K = 160 N/m
x = 0.05 m
Now,
(1) we solve for the initial potential energy stored
Thus,
V = 1/2 kx² = 0.5 * 160 * (0.05)²
Therefore V = 0.2 J
(2)Now, we solve for how much of the internal energy is produced as the toy springs up to its maximum height.
By using the energy conversion, we have the following
ΔV = mgh
=(0.1/9.8) * 9.8 * 1.5 = 0.15J
The internal energy = 0.2 -0.15
=0.05J
Answer:
3 ft/s
Explanation:
given,
distance in west, d₁ = 18 ft
distance in south, d₂ = 24 ft
time taken to travel 42 ft = 10 s
speed of boat in north = x ft/s
Speed of the boat when heading west = (x - 3) ft/s



again using the above formula
now, total time
t = t₁ + t₂

on simplifying
10 x² -72 x + 72 = 0
On solving the above equation we get
x = 6 ft/s
Hence, speed of boat in west direction, 6 -3 = 3 ft/s
speed of boat in south direction = 6 ft/s