Answer:
Initial velocity of the object, u = 5 m/s
Final velocity of the object, v = 8 m/s
Mass of the object, m = 100 kg
Time take by the object to accelerate, t = 6 s
Initial momentum = mu = 100 — 5 = 500 kg m sˆ’1
Final momentum = mv = 100 — 8 = 800 kg m sˆ’1
Force exerted on the object, F = mv – mu / t
= m (v-u) / t
= 800 – 500
= 300 / 6
= 50 N
Initial momentum of the object is 500 kg m sˆ’1.
Final momentum of the object is 800 kg m sˆ’1.
Force exerted on the object is 50 N.
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Answer:
Tree ring patterns have recently been proven to match up with historical drought records and have revealed everything from changing indigenous forest management in the Central Amazon to the climate patterns that caused ancient Rome to rise and fall.
Explanation:
Well, half-life is the radioactivity of an identified isotope that decreases by half of the actual value.
So, your answer would be C.
Answer:
Explanation:
The wheel and falling student will have common acceleration .
For rotational motion of wheel
Tx r = I α , T is tension in the crank , α is angular acceleration of wheel , I is moment of inertia , r is radius of the wheel.
= I a / r
T = I a / r²
For motion of student
Mg - T = Ma , M is mass of the wheel.
Mg - I a / r² = Ma
Mg = Ma +I a / r²
Mg = (M +I / r²)a
a = Mg / (M +I / r²)
= 51 x 9.8 / ( 51 + 9.6 / .3² )
499.8 / (51+ 106.67 )
= 499.8 / 157.67
= 3.17 m / s².
If time t is taken to fall by 12 m
12 = 1/2 a t²
24 / a = t²
24 / 3.17 =t²
t²= 7.57
t = 2.75 s
velocity to reach sidewalk
v = u + at
= 3.17 x 2.75
= 8.72 m / s
