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PLEASE USE EXACT MEASUREMENTS AND CALCULATIONS. ALSO PLEASE SHOW FULL WORKING! T

ID: 1864357 • Letter: P

Question

PLEASE USE EXACT MEASUREMENTS AND CALCULATIONS. ALSO PLEASE SHOW FULL WORKING! THANK YOU.

1. A rocket, away from all gravitational forces, accelerates upward at an acceleration of 14.8m/s^2. On its main deck is a crate with a mass of 91.6kg. a) How many forces act on the crate? b) Determine the Normal force on the crate, & c) What would the Normal force be on the crate if it were at rest on the surface of the earth?

2. Assuming frictionless conditions, a table has a hanging mass, m1, over a pulley at the left side and another hanging mass, m2, over a pulley on the right side. These two masses are connected to a third mass, m3, resting on the table surface. Light cords connect m1 to m3 and m3 to m2 so that all three move together.     a) if m1 = .3kg, m2 = .6kg, & m3 = .1kg, what will be the acceleration of the system?   b) If m1 = .5kg, & m2 = .3kg, & m3 = .2kg what is the new accelration of the system?

3. Six identical books, ( 5cm thick and .8kg mass ), all lie flat on a table. a) How much work is needed to stack all the books one on top of the other?   b) If done in 8sec, what is the power expended?

4. A 2.5kg box slides along a frictionless surface with a speed of 10m/s and approaches a horizontal spring with a spring constant of 2000N/m. If one end is fixed, a) How far will the spring compress in stopping the box? b) How far will the spring be compressed as the box's speed is reduced to one half of its original speed?

5. a) How much power,( answer given in both watts and HP ), must you exert horizontally to drag a 30kg table, 10m across a brick floor in 30s at a constant speed if the coefficient of kinetic friction is 0.50 ?   b) If the table were accelerated by 0.5m/s^2 while being dragged, what would be the maximum HP needed?

Explanation / Answer

solving first question

Since there is no gravity

weight will be zero so there will be only two force acting on it

(I) Normal force

(II) Friction force

(b)Normal force=ma=1355.68 N

(c)If on surface of earth

N=mg=91.6*9.81=898.596 N

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