Answer:
Torques must balance
F1 * X1 = F2 * Y2
or M1 g X1 = M2 g X2
X2 = M1 / M2 * X1 = 130.4 / 62.3 * 10.7
X2 = 22.4 cm
Torque = F1 * X2 =
62.3 gm* 980 cm/sec^2 * 22.4 cm = 137,000 gm cm^2 / sec^2
Normally x cross y will be out of the page
r X F for F1 will be into the page so the torque must be negative
Answer:
60 kg
80 kg
Explanation:
Work is equal to the change in energy.
W = ΔE = E − E₀
Let's start with block B. The work done by the tension force is equal to the change in energy. Initially, the block has potential energy. Finally, the block has kinetic energy.
W = ΔE
FΔy = ½ mv² − mgh
T (-2.0 m) = ½ m (6.00 m/s)² − m (10 m/s²) (2.0 m)
T (-2.0 m) = m (-2 m²/s²)
T = m (1 m/s²)
Now let's look at block A. The work done by tension and against friction is equal to the change in energy. Initially, the block has no energy. Finally, it has both kinetic and potential energy.
W = ΔE
Fd = ½ mv² + mgh − 0
(T − Nμ) (2.0 m) = ½ (4.00 kg) (6.00 m/s)² + (4.00 kg) (10 m/s²) (⅗ × 2.0 m)
(T − Nμ) (2.0 m) = 120 J
T − Nμ = 60 N
Draw a free body diagram of block A and sum the forces in the perpendicular direction to find the normal force N.
N = mg cos θ
N = (4.00 kg) (10 m/s²) (⅘)
N = 32 N
Substitute:
T − 32μ = 60 N
If μ = 0, then T = 60 N and m = 60 kg.
If μ = ⅝, then T = 80 N and m = 80 kg.
Answer:
Explanation:
(a) the angle between the coil and the coil's magnetic dipole moment is same that means zero degree.
(b) L = 17.6 cm = 0.176 m
i = 5.95 mA = 5.95 x 106-3 A
B = 4.74 mT = 4.74 x 10^-3 T
(b) Let r be the radius of the loop is r
Circumference = 2 x 3.14 x r
0.176 = 2 x 3.14 x r
r = 0.028 m
B = μo/4π x (N x 2 π i) / r
Where, N be the number of turns
4.74 x 10^-3 = (10^-7 x N x 2 x 3.14 x 5.95 x 10^-3) / 0.028
N = 3.55 x 10^4
(c) Maximum torque = N i A B
τ = 3.55 x 10^4 x 5.95 x 10^-3 x 3.14 x 0.028 x 0.028 x 4.74 x 10^-3
τ = 2.465 x 10^-3 Nm
The density of the metal can be determined through the formula [n*MW]/ Na*[a^3] . substituting, we get,
<span>d = [n*MW]/ Na*[a^3]
</span><span>d = [4 atoms*42.3 g/mol]/ [6.022 x 1023atoms/mol* (sqrt 8 *1.20x10-10)^3]
</span>d = 0.719 g/cm3
Answer:
the reaction mechanism occurs by electrostatic attraction of some type, where electrons are shared or transferred into the atoms and the new molecular compound is established more betabel than the indigenous atoms
Explanation:
Molecules are formed by atoms, through those of many chemical reactions that are processes by which the energy of the products is less than the energy of the reactants.
In these processes, in general, the reaction mechanism occurs by electrostatic attraction of some type, where electrons are shared or transferred into the atoms and the new molecular compound is established more betabel than the indigenous atoms
