The answer would be m1 = m2
FBD of m1 is the sum of the forces in the y direction =
0
0 = T - m1*g
transposing:
m1*g = T
FBD of m2 is the sum of the forces in the y direction = 0
0 = T - m2*g
transposing:
m2*g = T
set them equal to each other and solve for m1
m1*g = m2*g
= m1 = m2
Explanation:
The force on individual mass would be downwards or descending
and equal to the tension shaped by the other mass, which would be upward or
rising by the act of the seamless pulley, so the forces cancel on each mass.
Well, first of all, the truck's velocity is constantly changing, not 'uniform'.
Velocity consists of speed and direction. So, even if the truck's speed is
constant, its direction keeps changing as long as it's on a circular curve,
so its velocity is constantly changing.
The force needed to keep a mass moving in a circle is
F = (mass) x (speed)² / (radius)
3300 N = (1600 kg) (13 m/s)² / R
3300 kg-m/s² = (1600 kg) (169 m²/s²) / R
R = (1600 kg) · (169 m²/s²) / (3300 kg·m/s²)
= (1600 · 169 / 3300) meters
= 81.9 meters
The bead has a positive charge and so does the proton (+1.6*10⁻¹⁹ C), so they will repulse each other, sending the proton away from the bead, giving it a negative acceleration. For the magnitude, let's use Coulomb's Law: F = Kqq/r², where F is force, K is the electrostatic constant (9*10⁹ N*m²/C²), the q's are the charges and r is the distance between them. Plugging in values (remember that the nano- prefix corresponds to 10⁻⁹ and the centi- prefix is 10⁻²), we get F = (9*10⁹)*(30*10⁻⁹)(1.6*10⁻¹⁹)/(1.5*10⁻²)² = 1.92 *10⁻¹³ N. Ok, now that we have the force between the glass bead and the proton, we can use Newton's 2nd law: F = ma, where m is mass of the proton (1.67*10⁻²⁷ kg) and a is acceleration, to find the acceleration. Solving for a, a = F/m = (1.92 *10⁻¹³ N)/(1.67*10⁻²⁷ kg) = 1.15*10¹⁴ m/s².
Use the equation displacement=v(initial)-1/2at^2
v=velocity a=acceleration t=time
So displacement=3.5-(1/2)(.25)(3)^2= 2.375m
they should give you this equation on a sheet or something
hope this helps
The SI system was created so most countries can have the same units and cause no confusion.