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The acceleration due to gravity is lower on the Moon than on Earth. Which one of

ID: 1639253 • Letter: T

Question

The acceleration due to gravity is lower on the Moon than on Earth. Which one of the following statements is true about the mass and weight of an astronaut on the Moon's surface, compared to Earth? A) Both mass and weight are less. B) Mass is the same, weight is less. C) Both mass and weight are the same. D) Mass is less, weight is the same. A 50-kg box is resting on a horizontal floor. A force of 250N directed at an angle of 30.0 degree below the horizontal is applied to the box. The coefficient of static friction between the box and the surface is 0.40, and the coefficient of kinetic friction is 0.30. What is the force of friction on the box? A) 620 N B) 250 N C) 220 N D) 200 N E) 32 N Two objects are dropped from a bridge, an interval of 1.0 s apart. Air resistance is negligible. During the time that both objects continue to fall, their separation A) decreases. B) decreases at first, but then stays constant. C) stays constant. D) increases. E) increases at first, but then stays constant.

Explanation / Answer

here,

12)

the correct option is B

as mass remains constant

13)

the normal reaction force , N = m * g + F * sin(theta)

N = 50 * 10 + 250 * sin(30)

N = 625 N

the static friction force , Fs = us * N

Fs = 250 N

as Fs > F * cos(30)

the static frictional force acts on it as it is not moving

so the frictional force acting is equal to applied force , ff = F * cos(30)

ff = 220 N

the correct option is C) 220 N

14)

as after 1 s

the speed gained by 1 , v = 0 + g * 1 = 10 m/s

so, after the time both object continue to fall the sepration will D) increases

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