Answer:
0.4455 m
Explanation:
g = Acceleration due to gravity = 9.81 m/s²
Total mass is

Here the spring constant is not given so let us assume it as 
Here, the forces are balanced

The springs are compressed by 0.4455 m
Answer:
B. More African Americans became registered to vote in Southern states.
Explanation:
<span>The region around a magnet where the magnetic force is exerted is known as the </span>magnetic field.
Answer:
392 N
Explanation:
Draw a free body diagram of the rod. There are four forces acting on the rod:
At the wall, you have horizontal and vertical reaction forces, Rx and Ry.
At the other end of the rod (point X), you have the weight of the sign pointing down, mg.
Also at point X, you have the tension in the wire, T, pulling at an angle θ from the -x axis.
Sum of the moments at the wall:
∑τ = Iα
(T sin θ) L − (mg) L = 0
T sin θ − mg = 0
T = mg / sin θ
Given m = 20 kg and θ = 30.0°:
T = (20 kg) (9.8 m/s²) / (sin 30.0°)
T = 392 N
Answer:
299.51 m/s
Explanation:
m = mass of the bullet = 45 g = 0.045 kg
M = mass of the block = 1.55 kg
v = muzzle speed of the bullet
V = speed of bullet-block combination after the collision
μ = Coefficient of friction between the block and the surface = 0.28
d = distance traveled by the block = 13 m
V' = final speed of the bullet-block combination = 0 m/s
acceleration of the bullet-block combination due to frictional force is given as
a = - μg
using the kinematics equation
V'² = V² + 2 a d
0² = V² + 2 (- μg) d
0 = V² - 2 (μg) d
0 = V² - 2 (0.28) (9.8) (13)
V = 8.45 m/s
Using conservation of momentum for collision between bullet and block
mv = (M + m) V
(0.045) v = (1.55 + 0.045) (8.45)
v = 299.51 m/s