Answer:
1. 75N
2. 67,983 J (=67.98 kJ)
Explanation:
1. Work = Force x Distance
we are given that Work = 1,500J and Distance = 20m
hence,
Work = Force x Distance
1,500 = Force x 20
Force = 1,500 ÷ 20 = 75N
2. Potential Energy, PE = mass x gravity x change in height
we are given that mass = 165 kg and change in height = 42m
assuming that gravity, g = 9.81 m/s²
Potential Energy, PE = mass x gravity x change in height
Potential Energy, PE = 165 x 9.81 x 42 = 67,983 J (=67.98 kJ)
I think the correct answer from the choices listed above is option A. The rent is an<span> example of a monthly fixed cost for a sandwich shop. It is a fixed cost since you are required to pay for it per month. Hope this answers the question. Have a nice day.</span>
Answer:
F = - k (x-xo) a graph of the weight or applied force against the elongation obtaining a line already proves Hooke's law.
Explanation:
The student wants to prove hooke's law which has the form
F = - k (x-xo)
To do this we hang the spring in a vertical position and mark the equilibrium position on a tape measure, to simplify the calculations we can make this point zero by placing our reference system in this position.
Now for a series of known masses let's get them one by one and measure the spring elongation, building a table of weight vs elongation,
we must be careful when hanging the weights so as not to create oscillations in the spring
we look for the mass of each weight
W = mg
m = W / g
and we write them in a new column, we make a graph of the weight or applied force against the elongation and it should give a straight line; the slope of this line is sought, which is the spring constant.
The fact of obtaining a line already proves Hooke's law.
Answer:
The velocity of the boat after the batman lands in it is +9.26 m/s
Explanation:
Applying the law of conservation of momentum,
Total momentum before collision = Total momentum after collision.
Note: The collision between the Batman and the boat is an inelastic collision.
m'u'+mu = V(m+m').................... Equation 1
Where m' = mass of the Batman, u' = initial velcoity of the batman, m = mass of the boat, u = initial velocity of the boat, V = common velocity.
make V the subject of equation 1
V = (m'u'+mu)/(m+m')............... Equation 2
Given: m' = 96.1 kg, u' = 0 m/s, m = 458 kg, u = +11.3 m/s.
Substitute these values into equation 2
V = [(96.1×0)+(458×11.2)]/(96.1+458)
V = 5129.6/554.1
V = +9.26 m/s
