The formula for acceleration is a = F/m; Where: F = force; m = mass
Given: F = .6n; m = .4kg; a = ?
a = F/m
= .6/.4
= 1.5
Therefore, the acceleration of the plate is 1.5 m/s^2
<span>This is best understood with Newtons Third Law of Motion: for every action there is an equal and opposite reaction. That should allow you to see the answer.</span>
Badminton is played to a score of 21 points
Answer:
y = 12,000x + 40,000
Explanation:
A linear relationship that would model the mileage of the car in this example is:
where
y is the number of miles
x is the number of years
m is the number of miles driven per year
q is the number of miles already in the car at x=0
In this problem, we have
m = 12,000 (number of miles driven per year)
q = 40,000 (number of miles already in the car at x=0)
So substituting into the equation we get
Answer:
a) Ktotal = 71.85 J
b) Ktotal = 71.85 J
Explanation:
a) The total kinetic energy is that of the total mass of the bicycle plus the rotational kinetic energy of the two wheels. The linear speed of the circumference of the wheels matches the forward speed of the bicycle, so their angular speed is
ω = v/r
The moment of inertia of one solid disk bicycle wheel is
I = 0.5*m₂*r²
And the rotational kinetic energy of one wheel is
Kr = 0.5*I*ω² = 0.5*(0.5*m₂*r²)*(v/r)² = 0.25*m₂*v²
The total kinetic energy is then that of the frame and wheels plus the rotational kinetic energy.
Ktotal = 0.5*(m₁ + 2*m₂)*v² + 2*(0.25*m₂*v²)
⇒ Ktotal = 0.5*v²*(m₁ + 3*m₂)
where
m₁ = 6.75 Kg
m₂ = 0.820 kg
v = 3.95 m/s
then
⇒ Ktotal = 0.5*(3.95 m/s)²*(6.75 Kg + 3*0.820 kg)
⇒ Ktotal = 71.85 J
b) We can apply the same equation obtained before
⇒ Ktotal = 0.5*v²*(m₁ + 3*m₂)
where
m₁ = 675 Kg
m₂ = 82.0 kg
v = 0.395 m/s
then
⇒ Ktotal = 0.5*(0.395 m/s)²*(675 Kg + 3*82 kg)
⇒ Ktotal = 71.85 J
