Newton's law of gravitation states that the force between two bodies is given by the expression F = (G m1m2 )÷r2 So if the radius of the earth doubles, it results in the force depleting by a factor of 4, 150 N. If the radius of the earth halves,...

Physics I help (answer)

Newton's law of gravitation states that the force between two bodies is given by the expression F = (G m1m2 )÷r2 So if the radius of the earth doubles, it results in the force depleting by a factor of 4, 150 N. If the radius of the earth halves,...

Let x = penny rolls dime rolls = 4/5 X quarter rolls = 3/10 dime rolls = (3/10)(4/5) X = 15 Now you can backout X as X = 15 (5/4)(10/3) = 750/12 = 62 1/2 penny rolls (is half a roll allowed?) But the answer checks out....

the equation is 42 = 24 + 6 x subtract 24 from each side 18 = 6 x Divide by 6 on each side x = 3

The equation is P = 101 + 8 d; Assume the depth measured below is positive (to keep it simple) 200 = 101 + 8 d subtract 101 from both side 99 = 8 d Divide by 8 on both side d = 99/8 = 12 3/8 feet =...

The amplitude is 3 inches. The sinusoidal curve is symmetric about y = 5. The period is 12 months so that the graph cycles from one max to one min with the shift of 1 month to the right from the origin. The graph can be represented by a cosine curve which is maximum at x = 1 and...

The pressure is atmospheric pressure (101 kN/m^2) + 8 kN/m^3 (d m) p = 101 + 8 d where d is the depth in m from the surface. If you consider a coordinate system which is positive upward, then the equation can be written as p = 101 - 8 d;...

The equation is given by h = 33 - 25 cos (2πt/20) Here the concept used is that the wheel turns one full round in 20 seconds which sweeps one full diameter. The amplitude is 25 ft and so the highest point is going to be 58 ft and the lowest point is going...

Number of students (answer)

You can use proportion to figure this out as the sample is large compared to the population (105 vs 525). Red = (21÷105) x 525 = 105 I chose Red so that it divides nicely. You can complete the problem for following the proportion for the other colors.

z score of 0 gives you the mean for the problem; The mean μ is 70 Now you can use this value of the mean in the definition of z score for the second case and find the standard deviation. Z score is the number of standard deviations away from...

2 different questions (answer)

Area would be length x width (8 x 25) (3 x 25) = 24 x 625 = 15000 sq. ft Problem 2: The actual distance is 2.25 x (32/2) = 2.25 x 16 = 36 miles. Happy studying.

floor plan (answer)

Scaling can be computed by converting the units according to the ratio. Here 6 cm refers to 15 ft. Therefore, 1 cm would represent 15/6 = 2.5 ft; So your answer is A.

Find the inverse, if possible (answer)

A-1=1/1 [1 4] [1 5] For two x two matrix, swap the diagonal elements and reverse the sign of the other two elements. Divide each element of the inverse by the determinant of the original matrix.

X = number of boys Y = number of girls X = 2Y -12 X + Y = 42 (total) Substitute for X in terms of Y 2Y - 12 + Y = 42 3Y - 12 = 42 3Y = 54 Y = 18 X = 24 &...

1/2 mv2 = KE v = √2KE/(m) v = √(24000/51) = 21.693 m/s (3600/1000) = 78.094 km/h

How much work does gravity do? (answer)

The gain in kinetic energy is due to the work done by gravity (also can be thought of as loss in potential energy). Work = (mg)(Δh) = 0.17 (9.8) (14) = 23.324 N

How much work is done by the man? (answer)

Work done is F.ΔX, where F is the force in the direction of the motion. FxΔx = 203 (1-0.49)(5.7) N.m = 590.121 N

How much work was done? (answer)

Work done is F.X where F is the force in the direction of displacement, X W = 155 (4.5) = 697.5 N.m = 697.5 J

Kinetic energy question..... (answer)

v = 70 (1000 m/km)/(3600 s/h) = 19.44 m/s K.E = 1/2 m v2 = 1/2 (950) (19.44)2 = W done =179,509 J From conservation of energy, Work done is equal to the loss in kinetic energy as there is no change in potential energy

The problem can be set up as follows X >5 is the constraint For every $1 drop in price, the number sold increases by 30. Increase in sales is 30X So the money realized is (225 + 30X)(10 - X) and X is chosen where this revenue is maximum Here...

sin (A+B) = sin A cos B + cos A sin B sin (A-B) = sin A cos B - cos A sin B subtracting yields 2 cos A sin B = 1/2 B = pi/6 and sin (B) = 1/2 2 cos A = 1 cos A = 1/2; A = pi/3; 5...