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pickupchik [31]
3 years ago
10

Water ice has a density of 0.91 g/cm2, so it will float in liquid water. Imagine you have a cube of ice, 10 cm on a side. a. Wha

t is the cube's weight? b. What volume of liquid water must be displaced in order to support the floating cube? c. How much of the cube is under the surface of the water
Physics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

(i) W = 8.918 N

(ii) V = 9.1 \times 10^{-4} m^3

(iii) d = 9.1 cm

Explanation:

Part a)

As we know that weight of cube is given as

W = mg

W = \rho V g

here we know that

\rho = 0.91 g/cm^3

Volume = L^3

Volume = 10^3 = 1000 cm^3

now the mass of the ice cube is given as

m = 0.91 \times 1000 = 910 g

now weight is given as

W = 0.910 \times 9.8 = 8.918 N

Part b)

Weight of the liquid displaced must be equal to weight of the ice cube

Because as we know that force of buoyancy = weight of the of the liquid displaced

W_{displaced} = 8.918 N

So here volume displaced is given as

\rho_{water}Vg = 8.918

1000(V)9.8 = 8.918

V = 9.1 \times 10^{-4} m^3

Part c)

Let the cube is submerged by distance "d" inside water

So here displaced water weight is given as

W = \rho_{water} (L^2 d) g

8.918 = 1000(0.10^2 \times d) 9.8

d = 0.091 m

so it is submerged by d = 9.1 cm inside water

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Answer:

a)52.58 m/s

b)56.13°

Explanation:

assume the upward direction as positive

x-component of the velocity = 29.3×cos33.6°=24.40 m/s (remain constant)

y-component of the velocity which is -29.3sin33.6°= -16.21 m/s

time of flight = 68.3/24.40= 2.7991 seconds

now, we can obtain final velocity in y-direction

v_f_y= v_i_y-gt

v_f_y=-16.21-(-9.8)×2.7991

=43.66 m/s

v_0=\sqrt{29.3^2+43.66^2}

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for direction

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2 years ago
an elevator suspended by a vertical cable is moving downward but slowing down. the tension in the cable must be:
vladimir1956 [14]

Answer:

F = M a is the vector equation involved

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T - M g = M a

T = M (a + g)    remember this a scalar

If a is slowing down then it must have a positive acceleration upwards

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2 years ago
The description for a certain brand of house paint claims a coverage of 475 ft²/gal.
AlexFokin [52]

Answer:

(a) 11.66 square meters per liter

(b) 11657.8 per meters

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3 years ago
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sleet_krkn [62]

Answer:

9) This is a case of deceleration

10)-0.8 ms-2

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a) 100 ms-1

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a=v-u/t

From rest, u=0

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a= 8/10

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