Hw2-2 - show all your work, including the equation, express all answers in base units, (m, m/s, m/s2), unless stated otherwise i
n problem. a sprinter accelerates from rest to 10.5 m/s in 1.35 sec. what is her acceleration . . . in m/s2 km/hr2 a certain drag racer can accelerate from 0 to 60.0 km/hr in 5.4 sec. what is its acceleration in m/s2? how far, in meters, will it travel during this acceleration? how much time would it take to go 0.25 km if it could accelerate at this rate the entire time? an automobile can increase its speed uniformly from 25.0 to 55.0 km/h in 30.0 seconds. a bicycle rider uniformly speeds up to 30.0 km/h from rest in 0.5 min. calculate their accelerations. a rocket rises from rest with constant acceleration to an altitude of 85.0 km, at this point it has a speed of 2.8 km/s what is the acceleration of the rocket? how long does the ascent take?
The useful equations here are derived equations for rectilinear motion at constant acceleration:
a = (v - v₀)/t 2ax = v² - v₀² x = v₀t + 0.5at²
1. Since it starts from rest, v₀ = 0. Then, v = <span>10.5 m/s and t=1.35 s a = (10.5 - 0)/1.35 = 7.78 m/s</span>² a = 7.78 m/s²*(1 km/1000 m)*(3,600 s/ 1 h)² = 100,828.8 km/h²
2. v₀ = 0; v = 60 km/h; t=5.4 s a = [60 km/h*(1000 m/1km)*(1 h/3600 s) - 0]/5.4 s = 3.09 m/s²
3. Using the acceleration and velocities in #2, we can determine the distance by the formula: 2ax = v² - v₀² 2(3.09 m/s²)x = [60 km/h*(1000 m/1km)*(1 h/3600 s)]² - (0 m/s)² Solving for x, x = 44.95 m
4. Using acceleration in #2 and v₀ = 0, the time would be x = v₀t + 0.5at² 0.25 km * 1,000 m/1 km = (0)(t) + (0.5)(3.09 m/s²)(t²) Solving for t, t = 12.72 seconds
5. Acceleration of automobile: a = [(55 km/h - 25 km/h)*(1,000 m/1 km)*(1 h/3,600 s)]/30 s a = 0.278 m/s² <span> </span>Acceleration of bicycle: a = [(30 km/h - 0 km/h)*(1,000 m/1 km)*(1 h/3,600 s)]/(0.5 min * 60 s/1 min) a = 0.278 m/s² <span> 6. x = 85 km or 85,000 m; v</span>₀ = 0 m/s; v = 2,800 m/s 2ax = v² - v₀² 2a(85,000 m) = (2,800 m/s)² - 0² a = 46.12 m/s²
7. Using the data given and acceleration in #6, x = v₀t + 0.5at² 85,000 m = 0*t + 0.5(46.12 m/s²)(t²) Solving for t, t = 60.71 seconds
Throughout equilibrium all particles are of equivalent intensity, and as such the integrated platform's total energy has been uniformly divided across all individuals.
Now,
The total energy will be:
=
=
The total number of particles will be:
=
=
hence,
Energy of each A particle or each B particle will be:
Since the 60 kg is moving at a constant velocity there is no acceleration. In order for the system to be balanced, both the normal force and the force of gravity must be equal. In this case the man has a mass of 60 kg. So to find the force you multiply mass by gravitys constant (9.81). And you end up with an answer of 588.6 but I rounded to 588.
