Select the best answer for the question.
13. which statement accurately describes the relationship between mass and weight?
a. an object with twice the mass of another object will weigh twice as much
b. an object with twice the mass of another object will weigh four times as much.
c. an object with twice the mass of another object will weigh half as much.
od. an object with twice the mass of another object will weigh one-fourth as much.
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the correct option is A.

Explanation:

Weight = Mass X Acceleration due to gravity(10m/s2)

If A has a mass of 4Kg and the mass of B is twice that of A. Then their weight will be :

For A:

W = 4 x 10 = 40N

For B:

Mas of B is two times that of A i.e

2 x 4 = 8kg

W = 8 x 10 = 80N

Comparing the weight of A and B it is clear that the weight of B is also twice the weight of A

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j