the atomic weight is 39.948
Answer:
(A) 11 m/s
(B) 1.3 m
Explanation:
Horizontal range, R = 9.6 m
Angle of projection, theta = 28 degree
(A)
Use the formula of horizontal range
R = u^2 Sin 2 theta / g
u^2 = R g / Sin 2 theta
u^2 = 9.6 × 9.8 / Sin ( 2 × 28)
u = 10.65 m/s
u = 11 m/s
(B)
Use the formula for maximum height
H = u^2 Sin ^2 theta / 2g
H =
10.65 × 10.65 × Sin^2 (28) / ( 2 × 9.8)
H = 1.275 m
H = 1 .3 m
Answer:
The rise in height of combined block/bullet from its original position is 0.45m
Explanation:
Given;
mass of bullet, m₁ = 12 g = 0.012 kg
mass of block of wood, m₂ = 1 kg
initial speed of bullet, u₁ = 250 m/s.
initial speed of block of wood, u₂ = 0
From the principle of conservation of linear momentum, calculate the final speed of the combined block/bullet system.
m₁u₁ + m₂u₂ = v(m₁+m₂)
where;
v is the final speed of the combined block/bullet system.
0.012 x 250 + 0 = v (0.012 + 1)
3 = v (1.012)
v = 3/1.012
v = 2.96 m/s
From the principle of conservation of energy, calculate the rise in height of the block/bullet combined from its original position.
¹/₂mv² = mgh
¹/₂v² = gh
¹/₂ (2.96)² = (9.8)h
4.3808 = 9.8h
h = 4.3808/9.8
h = 0.45 m
Therefore, the rise in height of combined block/bullet from its original position is 0.45m
Answer: The mean of the samples is 32.325.
Proportion of the defective unit is =
Explanation:
The point estimate of the mean of the sample:
First calculate the mean of the 40 samples:
The mean of the samples is 32.325.
Defected pieces in the samples whose life span is less than the 26 days = 2
Proportion of the defective unit is =
Answer:
A
Explanation:
According to Snell's law refractive index is the ratio of the sine of the angle of incidence to the normal to the barrier ( the normal is perpendicular to the surface of the barrier) to the ratio of the sine of refraction ( the angle of emergence from the second barrier) and also equals the ratio of the speed of light in the first barrier to the ratio of the speed of light in the second barrier.
Since there is no change in the direction of the propagation of light then the two materials must have matching indexes of refraction.