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Bad White [126]
3 years ago
12

A mass of 0.4 kg is dropped from rest in a medium offering a resistance of 0.2|v|, where is measured in meters per second. Accel

eration due to gravity is 9.8 m/s^2.
Required:
a. If the mass is dropped from a height of 25 m, find its velocity when it hits the ground.
b. If the mass is to attain a velocity of no more than 8 m/s, find the maximum height fromwhich it can be dropped.
c. Suppose that the resistive force isk|v|, wherevis measured in m/s, andkis constant.If the mass is dropped from a height of 25 m and must hit the ground with a velocity of no more than 8 m/s, determine the coefficient of resistance that is required.
Physics
1 answer:
liraira [26]3 years ago
7 0

Answer:

A.) 22.12 m/s

B.) 3.27 m

C.) 0.57

Explanation:

Given that a mass of 0.4 kg is dropped from rest in a medium offering a resistance of 0.2|v|, where is measured in meters per second. Acceleration due to gravity is 9.8 m/s^2.

a. If the mass is dropped from a height of 25 m, its initial velocity U will be equal to zero. when it hits the ground, the final velocity V will be:

V^2 = U^2 + 2gH

Substitute g and the height into the formula

V^2 = 2 × 9.8 × 25

V^2 = 490

V = 22.12 m/s

b. If the mass is to attain a velocity of no more than 8 m/s, the maximum height from which it can be dropped will be calculated by using the same formula.

V^2 = U^2 + 2gH

Where V = 8 m/s and U = 0

8^2 = 0 + 2 × 9.8 × H

64 = 19.6H

H = 64/19.6

H = 3.27 m

c. Suppose that the resistive force is k|v|, where v is measured in m/s, and k is constant. If the mass is dropped from a height of 25 m and must hit the ground with a velocity of no more than 8 m/s, determine the coefficient of resistance that is required.

The energy at 25m heigh will be:

E = mgh

E = 0.4 × 9.8 × 25

E = 98 J

1/2mv^2 = 98

1/2 × 0.4 × ( 8 - v )^2 = 98

0.2( 8 - v )^2 = 98

( 8-v)^2 = 98/0.2

( 8 - v )^2 = 490

8 - v = 22.12

v = 22.14 - 8

v = 14.14

Coefficient of resistance required will be 8/ 14.14 = 0.57

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<h3>Why an egg thrown at a concrete wall will break?</h3>

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Answer:

The distance moved is 82 m.

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Explanation:

The distance is a measure of the total length traveled along the path, while the displacement only takes into account the length between the starting position (departure) and final position (arrival). That is, distance refers to how much space an object travels during its movement, being the amount moved, while displacement refers to the distance and direction of the final position with respect to the initial position of an object.

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