Answer:
F = 63N
Explanation:
M= 1.5kg , t= 2s, r = (2t + 10)m and
Θ = (1.5t² - 6t).
magnitude of the resultant force acting on 1.5kg = ?
Force acting on the mass =
∑Fr =MAr
Fr = m(∇r² - rθ²) ..........equation (i)
∑Fθ = MAθ = M(d²θ/dr + 2dθ/dr) ......... equation (ii)
The horizontal path is defined as
r = (2t + 10)
dr/dt = 2, d²r/dt² = 0
Angle Θ is defined by
θ = (1.5t² - 6t)
dθ/dt = 3t, d²θ/dt² = 3
at t = 2
r = (2t + 10) = (2*(2) +10) = 14
but dr/dt = 2m/s and d²r/dt² = 0m/s
θ = (1.5(2)² - 6(2) ) = -6rads
dθ/dt =3(2) - 6 = 0rads
d²θ/dt = 3rad/s²
substituting equation i into equation ii,
Fr = M(d²r/dt² + rdθ/dt) = 1.5 (0-0)
∑F = m[rd²θ/dt² + 2dr/dt * dθ/dt]
∑F = 1.5(14*3+0) = 63N
F = √(Fr² +FΘ²) = √(0² + 63²) = 63N
The Kepler mission is specifically designed to survey a portion of our region of the Milky Way galaxy<span> to discover dozens of Earth-size planets in or near the </span>habitable zone<span> and determine how many of the billions of stars in our galaxy have such planets</span>
Explanation:
Question 1
1.The wires are made of conducting materials e.g copper
2. A light bulb is made of filament material e.g tungsten with gases enclosed in a glass material
3.The lens is made of transparent glass material
4 The reflector is made of plastic with silver lining
5. The exterior casing of most flash lights are made of plastic
Question 2.
1.Copper is used to conduct electric current from the battery to the bulb
2.The tungsten filament ignite the gases and causes it to glow
3. The lens covers the lamp on your flashlight so that the glass on the lamp
/bulbs does not get broken.
4.The reflector redirects the light rays from the lamp, creating a steady beam of light, which is the light you see emitting from the flashlight.
5. The exterior cases houses the entire assembly and makes the flash light handy for use
Answer: 75 ft
Explanation:
Breaking distance = Speed²/ 20
= 30²/20
= 45 feet
Stopping distance = Speed + braking distance
= 30 + 45
= 75 ft
"1 watt" means 1 joule of energy per second.
75 W means 75 joules/sec .
Energy = (75 Joule/sec) x (12 min) x (60 sec/min)
Energy = (75 x 12 x 60) (Joule-<em>min-sec</em> / <em>sec-min</em>)
<em>Energy = 54,000 Joules</em>
