Answer:
5 mm
Explanation:
Youngs's modulus (Y) is described by the following expression:

Where F is the force exerted on the tendon, L is its length, A is its area and ΔL is its change in length (stretching).
The force in this case is 8 times the weight of the runner:

Therefore, the change in length of the tendon is given by:

the runner's Achilles tendon will stretch by 0.004989 m, which is roughly 5 mm.
<span>d = 950 m - 4.9t^2 m
The distance an object moves under constant acceleration is
d = 0.5at^2
where
d = distance
a = acceleration
t = time.
Since we're falling and since we're starting at 950 m above ground, the formula becomes:
d = 950 m - 0.5at^2
Substituting known values, and simplifying gives us
d = 950 m - 0.5*9.8 m/s^2 * t^2
d = 950 m - 4.9 m/s^2 * t^2
Since time is in seconds, we can cancel out the seconds in the units, getting
d = 950 m - 4.9t^2 m</span>
Answer:
a) 12.8212 N
b) 12.642 N
Explanation:
Mass of bucket = m = 0.54 kg
Rate of filling with sand = 56.0 g/ sec = 0.056 kg/s
Speed of sand = 3.2 m/s
g= 9.8 m/sec2
<u>Condition (a);</u>
Mass of sand = Ms = 0.75 kg
So total mass becomes = bucket mass + sand mass = 0.54 +0.75=1.29 kg
== > total weight = 1.29 × 9.8 = 12.642 N
Now impact of sand = rate of filling × velocity = 0.056 × 3.2 = 0.1792 kg. m /sec2=0.1792 N
Scale reading is sum of impact of sand and weight force ;
i-e
scale reading = 12.642 N+0.1792 N = 12.8212 N
<u>Codition (b);</u>
bucket mass + sand mass = 0.54 +0.75=1.29 kg
==>weight = mg = 1.29 × 9.8 = 12.642 N (readily calculated above as well)
20 kg*m/s because there is 2 kg mass and 10 m/s so you can multiply.
Answer:
Amount of radioactive particles left after 60 years = 100 particles.
Explanation:
Amount of radioactive particles before 60 years = 400
Amount of radioactive particles present today = 200
That is radio active particles reduced to half. That is 60 years is half life of this radio active material.
After 60 years this 200 radio active particles will reduce to half.
Amount of radioactive particles left after 60 years = 0.5 x 200 = 100 particles.