Answer:
a) g.p.e.=mass × gravitational field strength × height
b) Eᵖ= 50 × 9.8 × 20
9800 (J)
The half-life is simply the amount of time it takes for half of the isotope to decay into something else.
<span>After 1 half-life, half of the original sample remains. After a second half-life, half of that part remains or 1/4 of the original....after 3 half-lives, 1/8 remains and so on. </span>
<span>In your example, ut started with 8 billion atoms. After one half-life, there was 4 billion. After a second half-life, there was 2 billion and after 3, one billion remain.</span>
Answer:
53,130 J
Explanation:
When a certain substance absorbs heat, the temperature of the substance increases according to the equation:
where
Q is the amount of heat absorbed
m is the mass of the substance
C the specific heat capacity
the change in temperature of the substance
In this problem:
m = 2.3 kg is the mass of copper
is the increase in temperature
is the specific heat of copper
So, the amount of heat absorbed is:
Mass, m = 85 kg, velocity = 15 m/s, radius = 20m.
Centripetal force = mv²/r
F = 85*15²/20 = 85*15*15/20 = 956.25 N
The boat's initial velocity is:
While the boat's acceleration is
with a negative sign, since the boat is slowing down, so it is a deceleration. The distance traveled by the boat until it comes to a stop can be found by using the following equation:
where vf=0 is the final velocity of the boat and S is the distance covered. Re-arranging the formula, we can find S: