Answer:
Part a)
acceleration = -0.042 m/s/s
Part b)
initial speed = 14.17 m/s
final speed = 5.77 m/s
Explanation:
Part a)
Let the initial velocity of the motorcycle is
![v_i = v_o](https://tex.z-dn.net/?f=v_i%20%3D%20v_o)
now at the end of 80 s let the speed is
![v_f = v_1](https://tex.z-dn.net/?f=v_f%20%3D%20v_1)
after another 120 s let the speed will be
![v_f' = v_2](https://tex.z-dn.net/?f=v_f%27%20%3D%20v_2)
now we know that
![d = \frac{v_i + v_f}{2} (t)](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7Bv_i%20%2B%20v_f%7D%7B2%7D%20%28t%29)
![d = \frac{v_o + v_1}{2}(80)](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7Bv_o%20%2B%20v_1%7D%7B2%7D%2880%29)
![1000 = 40(v_o + v_1)](https://tex.z-dn.net/?f=1000%20%3D%2040%28v_o%20%2B%20v_1%29)
also we know that
![v_1 - v_o = a(80)](https://tex.z-dn.net/?f=v_1%20-%20v_o%20%3D%20a%2880%29)
also we have
![1000 = \frac{v_1 + v_2}{2}(120)](https://tex.z-dn.net/?f=1000%20%3D%20%5Cfrac%7Bv_1%20%2B%20v_2%7D%7B2%7D%28120%29)
![1000 = 60(v_1 + v_2)](https://tex.z-dn.net/?f=1000%20%3D%2060%28v_1%20%2B%20v_2%29)
now we can say
![(v_2 + v_1) - (v_o + v_1) = \frac{50}{3} - \frac{50}{2}](https://tex.z-dn.net/?f=%28v_2%20%2B%20v_1%29%20-%20%28v_o%20%2B%20v_1%29%20%3D%20%5Cfrac%7B50%7D%7B3%7D%20-%20%5Cfrac%7B50%7D%7B2%7D)
also we know
![v_2 - v_o = a(120 + 80)](https://tex.z-dn.net/?f=v_2%20-%20v_o%20%3D%20a%28120%20%2B%2080%29)
![-8.33 = 200 a](https://tex.z-dn.net/?f=-8.33%20%3D%20200%20a)
![a = -0.042 m/s^2](https://tex.z-dn.net/?f=a%20%3D%20-0.042%20m%2Fs%5E2)
Part b)
now we have
![v_1 + v_o = 25](https://tex.z-dn.net/?f=v_1%20%2B%20v_o%20%3D%2025)
![v_1 - v_o = (-0.042)(80)](https://tex.z-dn.net/?f=v_1%20-%20v_o%20%3D%20%28-0.042%29%2880%29)
![v_1 = 10.83 m/s](https://tex.z-dn.net/?f=v_1%20%3D%2010.83%20m%2Fs)
so the starting velocity of the trip is
![v_o = 25 - 10.83 = 14.17 m/s](https://tex.z-dn.net/?f=v_o%20%3D%2025%20-%2010.83%20%3D%2014.17%20m%2Fs)
now speed after t = 200 s is given as
![v_2 = v_o + at](https://tex.z-dn.net/?f=v_2%20%3D%20v_o%20%2B%20at)
![v_2 = 14.17 - (0.042)(200)](https://tex.z-dn.net/?f=v_2%20%3D%2014.17%20-%20%280.042%29%28200%29)
![v_2 = 5.77 m/s](https://tex.z-dn.net/?f=v_2%20%3D%205.77%20m%2Fs)
Answer:
Explanation:
Let the volume below water be v . Then
buoyant force = v d g where d is density of water , g is acceleration due to gravity
= v x 1000 x g
weight of wood piece = volume x density of wood x g
= .6 x 600 x g
for equilibrium while floating
buoyant force = weight
= v x 1000 x g = .6 x 600 x g
v = .36 m²
volume above water or volume exposed = .6 - .36
= .24 m²
When immersed completely ,
buoyant force = .6 x 1000 x 9.8
= 5880 N
weight of wood
= .6 x 600 x g
= 3528 N
buoyant force is more than the weight . In order to equalise them for floating with full volume in water
weight required = 5880 - 3528
= 2352 N.
Answer:
Inclined Plane - A ramp, for example a wheelchair ramp to help move to another level.
Wheel & Axle - On lawnmowers and wheelbarrow.
Lever - A seesaw
Pulley - adjustable clothesline (think from back then when you would put clothes out to dry them)
Screw - the bottle caps you screw on or off
Answer:
The Kelvin temperature scale is used by scientists because they wanted a temperature scale where zero reflects the complete absence of thermal energy. ... Many quantum mechanical properties are washed out by the thermal agitation that occurs in materials.
Answer:
Mirages are formed when the ground is really hot and the air is really cold. The hot ground will warm a layer of the air closest to the ground. When the light moves through the cold air and hits the warm air it bends creating the U shaped bend
Explanation:
Hope this helps!