Answer:
The resultant vector is 
.
Explanation:
First, each vector is determined in terms of absolute coordinates:
6-meter vector with direction: 30º north of east.
4-meter vector with direction: 30º east of north.
The resultant vector is obtaining by sum of components:
The resultant vector is .
To break<span> the </span>neck<span> of a human, ~ 1,250 foot-pounds of torque is required. And this is without the person's resistance.</span>
Actually Welcome to the Concept of the Ohms Law,
According to the Ohms law,
V = I*R, where, V = Voltage, I = Current, R = resistance,
so here given as, V = 240 V, I = 32 A,
so we get as, R = 240/32
R = 7.5 ohms,
===> The resistant R is ==> 7.5 ohms.
K.E = 1/2 mv²
100 = 1/2 (2 )(v)²
100 = both 2 cancel (v)²
Taking Square root on b/s
√100 = √v²
10 = v
Answer:
The speed of the block is 8.2 m/s
Explanation:
Given;
mass of block, m = 2.1 kg
height above the top of the spring, h = 5.5 m
First, we determine the spring constant based on the principle of conservation of potential energy
¹/₂Kx² = mg(h +x)
¹/₂K(0.25)² = 2.1 x 9.8(5.5 +0.25)
0.03125K = 118.335
K = 118.335 / 0.03125
K = 3786.72 N/m
Total energy stored in the block at rest is only potential energy given as:
E = U = mgh
U = 2.1 x 9.8 x 5.5 = 113.19 J
Work done in compressing the spring to 15.0 cm:
W = ¹/₂Kx² = ¹/₂ (3786.72)(0.15)² = 42.6 J
This is equal to elastic potential energy stored in the spring,
Then, kinetic energy of the spring is given as:
K.E = E - W
K.E = 113.19 J - 42.6 J
K.E = 70.59 J
To determine the speed of the block due to this energy:
KE = ¹/₂mv²
70.59 = ¹/₂ x 2.1 x v²
70.59 = 1.05v²
v² = 70.59 / 1.05
v² = 67.229
v = √67.229
v = 8.2 m/s
