Answer:
58.8 Joules work must be done
Explanation:
Equations of motion related distance, velocity and acceleration:
v² - v₀² = 2 x acc x Δdistance
so acc = (0 - 28²)/ (2 x 0.8 m) = -490 m/s² (negative acceleration means deceleration)
Ave force F to decelerate mass 0.15 kg = m x a = 0.15 x 490 = 73.5 Newtons
Work done W = Force x distance = 73.5 N x 0.8 m = 58.8 Nm (i.e. Joules)
It is a chemical change because the baking soda and vinegar are reacting to form a new product.
Given:
m(mass of Alex)=100Kg
u(initial velocity)=9 m/s
t(time of impact)=0.2 s
v(final velocity)=0.
Now we know that
v=u+at
We know that v is the final velocity.
u is the initial velocity
a is the acceleration
t is the time of impact
Now substituting these values we get
0=9+ax0.2
-0.2a=9
a=-45m/s^2
Thus the acceleration acting on the body is -45m/s^2
Also we know that
F=mxa
Where F is the force acting on the object.
m is the mass of the object.
a acceleration acting on the object.
F=-100x45
F=-4500 N
Thus the force of impact is -4500N
Answer:
Velocity, V = 3t²- 28t+6
Displacement, s = t³ - 14t²+6t -8
At t = 5.8 s
s = -249.05 m
v = -55.48 m/s
At t = 12.7 s
s = -141.48 m
v = 134.27 m/s
Explanation:
We have acceleration of a particle is given by a = 6t - 28
Velocity
At t = 0 we have v₀ = 6 m/s
v₀ = 6 = 3 x 0 ²-28 x 0+C
C = 6
So velocity, V = 3t² - 28t+6
Displacement
At t = 0 we have s₀ = -8 m
s₀ = -8 = 0³ + 14 x 0² + 6 x 0 + C
C = -8
So displacement, s = t³ - 14t²+6t -8
At t = 5.8 s
s = 5.8³ - 14 x 5.8²+6 x 5.8 - 8 = -249.05 m
v = 3 x 5.8² - 28 x 5.8 + 6 = -55.48 m/s
At t = 12.7 s
s = 12.7³ - 14 x 12.7²+6 x 12.7 - 8 = -141.48 m
v = 3 x 12.7² - 28 x 12.7 + 6 = 134.27 m/s