Suppose a planet exists that has half the mass of Earth and half its radius. On

Question

Suppose a planet exists that has half the mass of Earth and half its radius. On the surface of that planet, the acceleration due to gravity is twice that on Earth. the same as that on Earth. half that on Earth. one-fourth that on Earth. none of these. If we neglect the effects of air resistance, the impact speed of a body of mass m released from rest at an altitude of 2 times 108 m above the surface of Earth (mc = 5.99 times 1024 kg, rc = 6.37 times 106 m) is ~3.92 times 109 m/s ~6.26 times 104 m/s C) ~1.10 times 104 m/s ~1.21 times 108 m/s None of these is correct. An engineer is asked to design a playground slide such that the speed a child reaches at the bottom does not exceed 6.0 m/s. Determine the maximum height that the slide can be. 1.8 m 2.9 m 3.2 m 4.5m 7.4 m A physics student shoves a 0.50-kg block at rest from the bottom of a frictionless 30.0 degree inclined plane. The student performs 4.0 J of work and the block slides a distance s along the incline before it stops. Determine the value of s. 8.0 cm 16 cm 82 cm 160 cm 330 cm The potential energy function for conservative force acting in the x direction is shown in the figure on the right. Where would the particle experience a force directed to the right? between A & B and E & F between B & C and C & D between B & C and D & E at points B and D at points C and E

Explanation / Answer

a) g = G*M / R^(2)

so A

b) mgh = 1/2mv^2

taking g = 9.8

so v = (2*g*h)^(0.5) = 6.26 * 10^4 so answer is B

c) 1/2*mv^(2) => mgh

So h <= v^(2)/2g = (6^2)/(2*9.8)

Hence h <= 1.8 so answer is A

d) 4 = mgs*sin(30)

taking g = 10; m = 0.5

so s = 1.6m or 160cm so answer is D

e) As we know F = -dU/dx

so between B&C and D & E the slope is positive and F is negative that is in right direction. Hence C

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