Acceleration = (change in speed) / (time for the change)
<em>Acceleration = -- (speed as you crossed the finish line) / (10 seconds)</em>
Answer:
option c
Explanation:
Work is said to be done when a force moves a body over a distance, in the direction of force applied.
Work done = force x distance (in the direction of the force)
Therefore work = force x displacement
As displacement is distance in a specific or specified direction.
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Answer:
25.95 m
Explanation:
m = mass of the bungee jumper = 50 kg
k = spring constant of the cord = 100 N/m
x = stretch of the cord
L = length of the cord = 10 m
h = height dropped by the bungee jumper = L + x = 10 + x
Using conservation of energy
Spring potential energy = gravitational potential energy
(0.5) k x² = mg h
(0.5) (100) x² = (50) (9.8) (10 + x)
x = 15.95 m
d = distance traveled below the bridge
d = L + x
d = 10 + 15.95
d = 25.95 m
Answer:
28,699m
Explanation:
The force to make the box move should be <u>μs.N=μs.m.g=m.</u><u>|</u><u>a</u><u>|</u>
then,
|a|=μs.g
Being
μs coefficient of static friction,
N the force made by the truck on the box caused by the gravity force,
m the mass,
g the acceleration of gravity
and a the acceleration of the truck.
![x = v \times t + \frac{1}{2} \times a \times {t}^{2}](https://tex.z-dn.net/?f=x%20%3D%20v%20%5Ctimes%20t%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20a%20%5Ctimes%20%20%20%7Bt%7D%5E%7B2%7D%20)
as the truck is stopping, the acceleration is negative. then,
![x = v \times t - \frac{1}{2} \times |a| \times {t}^{2}](https://tex.z-dn.net/?f=x%20%3D%20v%20%5Ctimes%20t%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%7Ca%7C%20%5Ctimes%20%20%20%7Bt%7D%5E%7B2%7D%20)
![|a| = v \div t \\ t = v \div |a|](https://tex.z-dn.net/?f=%20%7Ca%7C%20%20%3D%20v%20%20%5Cdiv%20%20t%20%5C%5C%20t%20%3D%20v%20%5Cdiv%20%20%20%7Ca%7C%20)
![x = v \times (v \div |a| ) - \frac{1}{2} \times |a| \times {(v \div |a|)}^{2}](https://tex.z-dn.net/?f=x%20%3D%20v%20%5Ctimes%20%28v%20%5Cdiv%20%20%20%7Ca%7C%20%29%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%7Ca%7C%20%5Ctimes%20%20%20%7B%28v%20%5Cdiv%20%20%20%7Ca%7C%29%7D%5E%7B2%7D%20)
![x = v \times (v \div μs.g ) - \frac{1}{2} \times |a| \times {(v \div μs.g)}^{2}](https://tex.z-dn.net/?f=x%20%3D%20v%20%5Ctimes%20%28v%20%5Cdiv%20%20%CE%BCs.g%20%29%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%7Ca%7C%20%5Ctimes%20%20%20%7B%28v%20%5Cdiv%20%20%20%CE%BCs.g%29%7D%5E%7B2%7D%20)
![x = \frac{{v}^{2}}{μs \times g} - \frac{1}{2} \times \frac{{v}^{2}}{μs \times g} \\ x = \frac{1}{2} \times \frac{{v}^{2}}{μs \times g} \\ x = 0.5 \times \frac{{(15m/s) }^{2} }{0.4 \times 9.8m/ {s}^{2} } = 28.699m](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Cfrac%7B%7Bv%7D%5E%7B2%7D%7D%7B%CE%BCs%20%5Ctimes%20g%7D%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%5Cfrac%7B%7Bv%7D%5E%7B2%7D%7D%7B%CE%BCs%20%5Ctimes%20g%7D%20%5C%5C%20x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%5Cfrac%7B%7Bv%7D%5E%7B2%7D%7D%7B%CE%BCs%20%5Ctimes%20g%7D%20%5C%5C%20x%20%3D%200.5%20%5Ctimes%20%20%5Cfrac%7B%7B%2815m%2Fs%29%20%7D%5E%7B2%7D%20%7D%7B0.4%20%5Ctimes%209.8m%2F%20%7Bs%7D%5E%7B2%7D%20%7D%20%20%3D%2028.699m)
28,699m