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PilotLPTM [1.2K]
3 years ago
10

on the surface of planet x a body with a mass of 10 kilograms weighs 40 newtons. The magnitude of the acceleration due to gravit

y on the surface of planet X is
Physics
2 answers:
tamaranim1 [39]3 years ago
6 0
Based on the Newton's second law of motion, the value of the net force acting on the object is equal to the product of the mass and the acceleration due to gravity. If we let a be the acceleration due to gravity, the equation that would allow us to calculate it's value is,
      W = m x a
where W is weight, m is mass, and a is acceleration. Substituting the known values,
    40 kg m/s² = (10 kg) x a
Calculating for the value of a from the equation will give us an answer equal to 4. 
ANSWER: 4 m/s². 

ExtremeBDS [4]3 years ago
4 0
4m/s^2

I hope this helps!!
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Answer:

a) Fi = 85.76 N

b) Fi = 87.8 N

Explanation:

Given:-

- Density of hydraulic oil, ρ = 804 kg/m^3

- The radius of input piston, ri = 0.00861 m

- The radius of output piston, ro = 0.141 m

Find:-

What input force F is needed to support the 23000-N combined weight of a car and the output plunger, when

(a) the bottom surfaces of the piston and plunger are at the same level

(b) the bottom surface of the output plunger is 1.10 m above that of the input plunger?

Solution:-

For part a.

- We see that both plungers are equal levels or there is no pressure due to elevation head. So we are only dealing with static pressure exerted by the hydraulic oil on both plungers to be equal. This part is an application of Pascal's Law:

                                  Pi = Po

                                  Fi / Ai = Fo / Ao

                                  Fi = Ai / Ao * Fo

                                  Fi = (ri/ro)^2 * Fo

                                  Fi = ( 0.00861 / 0.141 )^2 * 23000

                                  Fi = 85.76 N

For part b.

- We see that both plungers are at different levels so there is pressure due to elevation head. So we are only dealing with static pressure exerted by the hydraulic oil on both plungers plus the differential in heads. This part is an application of Bernoulli's Equation:

                                  Pi = Po + ρ*g*h

Where,                     h = Elevation head = 1.10m

                                  Fi = (ri/ro)^2 * Fo + ρ*g*h*π*ri^2

                                  Fi = 85.76 + (804*9.81*1.1*3.142*0.00861^2)

                                  Fi = 87.8 N

3 0
2 years ago
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