Answer:
25.08m/s
Explanation:
mgh1 + 0.5mv1² = mgh2 + 0.5mv2²
h1 = 0m
v1 = u
h2 = 5m
v2 = 23m/s
putting the values into the formula above;
m(10)(0) + 0.5m(u²) = m(10)(5) + 0.5m(23²)
0 + 0.5mu² = 50m + 264.5m
0.5mu² = 314.5m
dividing through by m
0.5u² = 314.5
u² = 629
u = <u>2</u><u>5</u><u>.</u><u>0</u><u>8</u><u>m</u><u>/</u><u>s</u>
<u>Theref</u><u>ore</u><u>,</u><u> </u><u>the</u><u> </u><u>init</u><u>ial</u><u> </u><u>speed</u><u> </u><u>"</u><u>u</u><u>"</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u>m</u><u>/</u><u>s</u>
Answer:
6.58m
Explanation:
The kinetic energy = Workdone on the roller
Workdone = Force * distance
Given
KE = Workdone = 362J
Force = 55N
Required
Distance
Substitute into the formula;
Workdone = Force * distance
362 = 55d
d = 362/55
d = 6.58m
Hence the student must push at a distance of 6.58m
Answer:
5.38 m/s^2
Explanation:
NET force causing the object to accelerate = 50 -10 = 40 N
Mass of the object = 73 N / 9.81 m/s^2 = 7.44 kg
F = ma
40 = 7.44 * a a = 5.38 m/s^2
Answer:
Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces. Archimedes' principle is a law of physics fundamental to fluid mechanics. It was formulated by Archimedes of Syracuse.
given that snow is projected at an angle of 40 degree
It range is given as a = 19 ft
![a = 19 * 0.3048 = 5.8 m](https://tex.z-dn.net/?f=a%20%3D%2019%20%2A%200.3048%20%3D%205.8%20m)
now we can use the formula of horizontal range
![R = \frac{v_o^2 sin2\theta}{g}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7Bv_o%5E2%20sin2%5Ctheta%7D%7Bg%7D)
![5.8 =\frac{ v_o^2 sin(2*40)}{9.8}](https://tex.z-dn.net/?f=5.8%20%3D%5Cfrac%7B%20v_o%5E2%20sin%282%2A40%29%7D%7B9.8%7D)
![5.8 = \frac{v_o^2 * sin80}{9.8}](https://tex.z-dn.net/?f=5.8%20%3D%20%5Cfrac%7Bv_o%5E2%20%2A%20sin80%7D%7B9.8%7D)
![v_o^2 = 57.7](https://tex.z-dn.net/?f=v_o%5E2%20%3D%2057.7)
![v_o = 7.6 m/s](https://tex.z-dn.net/?f=v_o%20%3D%207.6%20m%2Fs)
<u>so its initial speed must be 7.6 m/s</u>