Answer:
293.7 degrees
Explanation:
A = - 8 sin (37) i + 8 cos (37) j
A + B = -12 j
B = a i + b j, where a and b represent constants to solve for.
A + B = (a - 8 sin (37) ) i + ( 8cos(37) + b ) j
- 12 j = (a - 8 sin (37) ) i + ( 8cos(37) + b ) j
By comparing the coefficients of i and j:
a = 8 sin (37) = 4.81452 m
b = -12 - 8cos(37) = -18.38908
Thus,
B = 4.81452 i - 18.38908 j..... 4th quadrant
<pTherefore,
cos(Q) = 4.81452 / 12
Q = 66.346 degrees
360 - Q gives us 293.65 degrees from the + x-axis in a counterclockwise direction.
Response: 800N
Clarification:
Provided data:
Ball mass = 0.8kg
Contact duration = 0.05 seconds
Final and initial speed = 25m/s
The average force exerted by the ball on the wall can be calculated using the following relationship:
Force (F) = mass (m) * average acceleration (a)
a= (initial velocity (u) + final velocity (v))/t
m = 0.8kg
u = v = 25m/s
t = contact time of the ball = 0.05s
Thus,
a = (25 + 25) ÷ 0.05 = 1000m/s^2
Hence,
The average force magnitude (F)
F=ma
m = ball mass = 0.8
a = 1000m/s^2
F = 0.8 * 1000
F = 800N
Answer:
1.2 × 10^27 neutrons
Explanation:
Considering one neutron weighs 1.67 × 10^-27 kg,
the count of neutrons in a 2 kg mass would be computed as:
2 ÷ 1.67 × 10^-27
Hence, there are approximately 1.2 × 10^27 neutrons.
Answer:
Term 1 = (0.616 × 10⁻⁵)
Term 2 = (7.24 × 10⁻⁵)
Term 3 = (174 × 10⁻⁵)
Term 4 = (317 × 10⁻⁵)
(σ ₑ/ₘ) / (e/m) = (499 × 10⁻⁵) rounded to the correct significant figures.
Explanation:
(σ ₑ/ₘ) / (e/m) = (σᵥ /V)² + (2 σᵢ/ɪ)² + (2 σʀ /R)² + (2 σᵣ /r)²
average values
Voltage, V = (403 ± 1) V,
σᵥ = 1 V, V = 403 V
Current, I = (2.35 ± 0.01) A
σᵢ = 0.01 A, I = 2.35 A
Radius of coils, R = (14.4 ± 0.3) cm
σʀ = 0.3 cm, R = 14.4 cm
Radius of curvature of electron path, r = (7.1 ± 0.2) cm.
σᵣ = 0.2 cm, r = 7.1 cm
Term 1 = (σᵥ /V)² = (1/403)² = 0.0000061573 = (0.616 × 10⁻⁵)
Term 2 = (2 σᵢ/ɪ)² = (2×0.01/2.35)² = 0.000072431 = (7.24 × 10⁻⁵)
Term 3 = (2 σʀ /R)² = (2×0.3/14.4)² = 0.0017361111 = (174 × 10⁻⁵)
Term 4 = (2 σᵣ /r)² = (2×0.2/7.1)² = 0.0031739734 = (317 × 10⁻⁵)
The relative e/m value is the total of all the computed terms.
(σ ₑ/ₘ) / (e/m)
= (0.616 + 7.24 + 174 + 317) × 10⁻⁵
= (498.856 × 10⁻⁵)
= (499 × 10⁻⁵) rounded to the required significant figures.
Hope this Helps!!!
