As shown below, if F-40.0 N and M-4.00kg, what is the magnitude of the accelerat

Question

As shown below, if F-40.0 N and M-4.00kg, what is the magnitude of the acceleration of the suspended object? All surfaces are frictionless 1. 30 2M A) 9.8 m/s B) 4.33 m/s C) 0.38 m/s D) 3.27 m/s 2. A baseball is thrown vertically upward and feels no air resistance. As it is rising A) its gravitational potential energy is not conserved, buts its momentum is conserved B) both its momentum and its kinetic energy are conserved C) its momentum is not conserved, but its mechanical energy is conserved D) its kinetic energy is conserved, but its momentum is not conserved An elevator filled with passengers has a mass of 1.70 x 10 kg. The elevator upward from rest at a rate of 1.20 m/s for 1.50 s. Calculate the tension in the supporting the elevator during this period. A) 3.7x10N B) 2.04x10 N C) 16.7x10 N D) 18.7x10'N

Explanation / Answer

Ans. 1 for 2M, Fcos 30 - T= 2ma ....... (1)

For M, T - mg =ma...... . (2)

From equn 1&2. FCOS 30 - T +T-mg = 2ma +ma

40*cos30 - 4*9.8=3*4*a

34.64 - 39.2=12a

- 4.56=12a

a=-4.56/12

a=- 0.38 m /s2

Ans. 0.38 m/sSquare

Ans 2. (c) its momentum is not conserved but its mechanical energy is conserved.

Ans. 3.

Total acceleration = (g + 1.2) = 11m/sec^2. (9.8m/sec^2 used as g).

Tension = (1,700 x 11) = 18,700N.

Ans (D) 18.7*103 N

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