Answer:
ΔT = 78.32 °C
Explanation:
Kinetic energy of bullet is K
K = mv²/2
= .004 * ( 200 m/s )²/2
= 80 J
Half of the heat E = 40 J
Now a per the equation of energy transferred ,
E = cm ΔT
c is the specific heat of latent, m is the mass and ΔT is the change in temperature.
ΔT = 40 / ( .0305 × 4186 × .004)
ΔT = 78.32 °C
120 km/h = 33.33 m/s 10.8 km/h/s = 3 m/s/s the motorist will cover a distance of 33.33 m x T(seconds) the police officer will cover a distance of 1/2 (3) T^2 they will be at the same point when 33.33T = 1.5 T^2 33.33 = 1.5 T 3T = 66.66 T = 22.22 seconds it will take the officer 22.22 seconds to catch the motorist. the officer will be moving V=AT = 3m/s x 22.22 seconds = 66.66 m/s almost 240 km/h (239.976 km/h)
Answer:
7.888m
Explanation:
Given:
frequency 'f'= 90Hz
velocity of the sound 'v' = 340 m /sec
The wavelength of the wave is given by,
λ= v/f => 340/90
λ= 3.777m
The destructive interference condition is givn by
Δd=
λ
where, m=0,1,2,3,..
m=0, for minimum destructive interference
Δd=
x 3.777
Δd=1.888
Therefore, the required distance is
=
+ Δd => 6 + 1.888
= 7.888m
Thus, So the speaker should be placed at 7.888 m
Tetrahedron is a geometrical figure or solid that is formed in similar manner as a pyramid. The faces of the formed pyramid are triangles. Also is the base.
By the statement above, it can be deduced that the figure has four sides. The number of ways in which the sides can be colored by any of the three (3) colors is,
3 x 3 x 3 x 3 = 81
Since the sides can still have the same colors, we deduct this value by 3 in order to eliminate the uniform colors of the four sides.
= 81 - 3 = 78
Also, we can eliminate the concern on only two colors can mix,
= 3 x 2 = 6
Subtracting,
78 - 6 = 72
Hence, the answer is 72.
Answer:
what are the steps that they give u?