Answer:
a = 3.61[m/s^2]
Explanation:
To find this acceleration we must remember newton's second law which tells us that the total sum of forces is equal to the product of mass by acceleration.
In this case we have:
![F = m*a\\\\m=mass = 3.6[kg]\\F = force = 13[N]\\13 = 3.6*a\\a = 3.61[m/s^2]](https://tex.z-dn.net/?f=F%20%3D%20m%2Aa%5C%5C%5C%5Cm%3Dmass%20%3D%203.6%5Bkg%5D%5C%5CF%20%3D%20force%20%3D%2013%5BN%5D%5C%5C13%20%3D%203.6%2Aa%5C%5Ca%20%3D%203.61%5Bm%2Fs%5E2%5D)
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
Choice-'a' is a slippery, misleading, ambiguous statement,
but it's less wrong than any of the other choices on this list.
Answer:
Charge of the alpha particle
Explanation:
Answer:
![h=10m](https://tex.z-dn.net/?f=h%3D10m)
Explanation:
From the question we are told that:
Area ![a=70 x 10^{-6}](https://tex.z-dn.net/?f=a%3D70%20x%2010%5E%7B-6%7D)
Force ![F=7N](https://tex.z-dn.net/?f=F%3D7N)
Generally the equation for Pressure is mathematically given by
Pressure = Force/Area
![P=\frac{F}{A}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BF%7D%7BA%7D)
![P= 1*10^{5} Pa](https://tex.z-dn.net/?f=P%3D%201%2A10%5E%7B5%7D%20Pa)
Generally the equation for Pressure is also mathematically given by
![P=hpg](https://tex.z-dn.net/?f=P%3Dhpg)
Therefore
![h=\frac{P}{hg}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7BP%7D%7Bhg%7D)
![h=\frac{10000}{1000*9.8}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B10000%7D%7B1000%2A9.8%7D)
![h=10m](https://tex.z-dn.net/?f=h%3D10m)