It will roll .. down the hill .. what else
Answer:
Explanation:
First of all the mass in in g and we need it in kg, so let's convert it.
Now we can proceed.
Find the momentum.
Now let's find the kinectic energy that this rock has in Joules.
Answer:
The acceleration is 10 m/s²
Explanation:
The question seeks to show the relationship between force, mass and acceleration. Hence, the formula to be used here is that of force which is shown below
F = ma
where F is the force (800 N)
m is the mass (80 kg)
a is the acceleration (unknown)
From the formula above (Force = mass multiplied by acceleration)
800 N = 80 kg × a
a = 800 ÷ 80
a = 10 m/s²
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