Answer:
v = 0.667 m / s, m = 6746 kg
Explanation:
For this exercise we must use the relationship between work and kinetic energy
W = ΔK
the work is defined by
W = F. x
bold indicates vectors
W = F x cos θ
in this case the force is in the same direction of displacement
W = F x
F x = K_f - K₀
as the body starts from rest the initial kinetic energy is zero
F x = ½ m v²
Now let's use the relationship between momentum and momentum
I = Δp
I = F t
Δp = m v_f - m v₀
as part of rest v₀ = 0
F t = m v
Let's write our system of equations
F x = ½ m v²
F t = m v
we have a system of two equations with two unknowns, let's divide the two expressions
x / t = ½ v
v = 2x / t
v = 2 10/30
v = 0.667 m / s
we look for the mass
F t = m v
m = F t / v
m = 150 30 / 0.667
m = 6746 kg
Answer:
57.1 km/hr
Explanation:
To find the average speed you take the total distance divided by the total elapsed time.
So, the total distance is 140 + 60 = 200
the total elapsed time is found by taking 140/70=2 and 60/40=1.5
2+1.5=3.5
The plug the numbers into the equation,
200/3.5=57.1
Answer:
Spring Constant = 279.58 N/m
Explanation:
We are given;
Mass; m = 2.05 x 10^(-2) kg = 0.0205 kg
Distance of compression; x = 8.01 × 10^(-2) m = 0.0801 m
Maximum height; h = 4.46 m
The formula for the energy in the spring is given by;
E = ½kx²
where:
k is the spring constant
x is the distance the spring is compressed.
Now, this energy of the spring will be equal to the energy of the pellet at its highest point. Energy of pallet = mgh So;
½kx² = mgh
Plugging in the relevant values, we have;
½ * k * 0.0801² = 0.0205 * 9.81 * 4.46
0.003208005k = 0.8969
k = 0.8969/0.003208005
k = 279.58 N/m
I would let someone more confident in this field to answer this question but that sounds like a Chemical reaction